Professor René de Borst

School of Mechanical, Aerospace and Civil Engineering

The Centenary Professor of Civil Engineering

r.deborst@sheffield.ac.uk
+44 114 222 5796

Room F113, Sir Frederick Mappin Building (Broad Lane Building)

Full contact details

Professor René de Borst
School of Mechanical, Aerospace and Civil Engineering
Room F113
Sir Frederick Mappin Building (Broad Lane Building)
Mappin Street
Sheffield
S1 3JD

Profile

I use numerical techniques to predict the strength, durability and failure of a wide range of structures in civil, mechanical and aerospace disciplines.

Professor Rene deBorst

René de Borst received his Ir. degree in civil engineering from Delft University of Technology (cum laude). He started his career at TNO, the Netherlands Organisation for Applied Scientific Research, completing his doctoral thesis in the evening hours and weekends three-and-a-half years later (also cum laude).

In 1988 he was appointed Professor of Computational Mechanics at the Faculty of Civil Engineering, Delft University of Technology – the youngest professor in Delft. In 1999 he was made the inaugural holder of the Chair of Engineering Mechanics at the Faculty of Aerospace Engineering at the same university.

In 2000 he was one of the first two professors in Delft to be made Distinguished Professor. In 2007 he was appointed Dean of the Faculty of Mechanical Engineering and Distinguished Professor at Eindhoven University of Technology. In 2012 he was appointed as the Regius Chair of Civil Engineering and Mechanics at the University of Glasgow and joined our Department as The Centenary Professor of Civil Engineering in 2016.

He has held visiting professorships in Albuquerque, Cachan, Metz, Lyon, Lublin, Milan, Barcelona, and Tokyo. Recently, he was the inaugural holder of the John Argyris Visiting Chair in Stuttgart and MTS Visiting Professor of Geomechanics in Minneapolis.

He is the author of two books, has edited 14 books and conference proceedings, and written over 230 journal papers and 30 book chapters.

His work has been cited more than 8,800 times according to the ISI database (h-index 53), and over 24,000 times according to Google Scholar (h-index 74). He has supervised over 50 PhD students, over 20 post-docs, and 14 of his former students have become professors.

Research interests

Professor René de Borst’s research concentrates on computer simulations of materials and structures, with the aim to make structures more robust and resilient to extreme loadings.

His work covers several topics in engineering mechanics and engineering materials, such as the mechanical properties of concrete, soils, composites and rubbers, in particular the development of mathematical and numerical models for deformation and failure.

His most significant work is on fracture, computational mechanics, frictional materials, and is of relevance in civil engineering, structural engineering, and aerospace engineering. His research also extends into the interaction between porous materials and fluid flow through them.

His numerical modelling allows virtual prototyping, thus avoiding expensive physical testing, and helps to optimise materials and structures for maximum strength, durability and safety, using a minimum of resources.

Some examples where his research can be applied:

Earthquakes – to predict forces, deformation and collapse loads.
Hydraulic fracturing – to understand and predict how fluid-filled fractures propagate.
Waste storage – to predict how contaminated fluid moves in subsurface formations.
The human body – for instance, cell motility is governed by mechanics and chemistry, while soft tissues are filled with fluids and ions, and prediction of fracture requires knowledge of the interaction between them.

Publications

Books

de Borst R (2017) Computational Methods for Fracture in Porous Media: Isogeometric and Extended Finite Element Methods.
de Borst R, Crisfield MA, Remmers JJC & Verhoosel CV (2012) Non-Linear Finite Element Analysis of Solids and Structures. John Wiley & Sons, Ltd.
de Borst R & Mang H (2003) Preface to Volume 3. Elsevier.
William Farebrother R, Puntanen S, Styan GPH & Joachim Werner H (1997) Preface. Elsevier BV.
De Borst R & Feenstra PH (1994) Plasticity and damage based smeared-crack models for finite element analysis of fracture in plain concrete and rock.
Muhlhaus HB, De Borst R & Aifantis EC (1991) Constitutive models and numerical analyses for inelastic materials with microstructure.
De Borst R (1982) Calculation of collapse loads using higher order elements..
De Borst R & Vermeer PA (1982) Finite element analysis of static penetration tests..

Journal articles

Chen L, Li B & de Borst R (2024) Integral form of mixed-mode crack opening in the phase field method. Theoretical and Applied Fracture Mechanics, 132, 104481-104481.
Fathi F, Oakley JE & de Borst R (2024) An extended isogeometric collocation method for fracture analysis. International Journal for Numerical Methods in Engineering. View this article in WRRO
Chen L, Wang Z, Li B & de Borst R (2023) Computation of the crack opening displacement in the phase-field model. International Journal of Solids and Structures, 283, 112496-112496.
Duretz T, Räss L, de Borst R & Hageman T (2023) A Comparison of Plasticity Regularization Approaches for Geodynamic Modeling. Geochemistry, Geophysics, Geosystems, 24(7).
Ghaffari Motlagh Y, Jimack PK & de Borst R (2022) Deep learning phase‐field model for brittle fractures. International Journal for Numerical Methods in Engineering.
Chen L & de Borst R (2022) Phase-field regularised cohesive zone model for interface modelling. Theoretical and Applied Fracture Mechanics, 103630-103630.
de Borst R (2022) Fracture and damage in quasi-brittle materials: A comparison of approaches. Theoretical and Applied Fracture Mechanics, 103652-103652.
Chen L & de Borst R (2022) Analysis of progressive fracture in fluid‐saturated porous medium using splines. International Journal for Numerical Methods in Engineering.
Chen L, Fathi F & de Borst R (2022) Hydraulic fracturing analysis in fluid‐saturated porous medium. International Journal for Numerical and Analytical Methods in Geomechanics.
de Borst R, Sabet SA & Hageman T (2022) Non-associated Cosserat plasticity. International Journal of Mechanical Sciences, 230, 107535-107535.
Hageman T & de Borst R (2022) Direct simulation vs subgrid scale modelling of fluid flow in fractured or fracturing porous media. Computational Geosciences.
Eraslan S, Gitman IM, Askes H & de Borst R (2022) Determination of representative volume element size for a magnetorheological elastomer. Computational Materials Science, 203. View this article in WRRO
Fathi F, Chen L, Hageman T & Borst R (2022) Extended isogeometric analysis of a progressively fracturing fluid‐saturated porous medium. International Journal for Numerical Methods in Engineering.
Hageman T & de Borst R (2021) Unequal order T-spline meshes for fracture in poroelastic media. Journal of Mechanics, 37, 669-679.
Chen L & de Borst R (2021) Phase-field modelling of cohesive fracture. European Journal of Mechanics - A/Solids, 90.
Hageman T & de Borst R (2021) A time‐based arc‐length like method to remove step size effects during fracture propagation. International Journal for Numerical Methods in Engineering.
Hageman T & de Borst R (2021) A refined two-scale model for Newtonian and non-Newtonian fluids in fractured poroelastic media. Journal of Computational Physics, 441. View this article in WRRO
Fathi F & de Borst R (2021) Geometrically nonlinear extended isogeometric analysis for cohesive fracture with applications to delamination in composites. Finite Elements in Analysis and Design, 191.
Duretz T, de Borst R & Yamato P (2021) Modeling lithospheric deformation using a compressible visco‐elasto‐viscoplastic rheology and the effective viscosity approach. Geochemistry, Geophysics, Geosystems, 22(8).
Hageman T & Borst R (2021) Stick‐slip like behavior in shear fracture propagation including the effect of fluid flow. International Journal for Numerical and Analytical Methods in Geomechanics.
Hansen-Dörr AC, Dammaß F, de Borst R & Kästner M (2020) Erratum to “Phase-field modeling of crack branching and deflection in heterogeneous media” [Eng. Fract. Mech. 232 (2020) 107004]. Engineering Fracture Mechanics, 107449-107449.
Hageman T, Sabet SA & Borst R (2020) Convergence in non‐associated plasticity and fracture propagation for standard, rate‐dependent, and Cosserat continua. International Journal for Numerical Methods in Engineering. View this article in WRRO
Chen L, Li B & de Borst R (2020) The use of Powell-Sabin B-Splines in a higher-order phase-field model for crack kinking. Computational Mechanics.
Hageman T & de Borst R (2020) Sub-grid models for multiphase fluid flow inside fractures in poroelastic media. Journal of Computational Physics, 414. View this article in WRRO
Chen L, Li B & Borst R (2020) Adaptive isogeometric analysis for phase‐field modeling of anisotropic brittle fracture. International Journal for Numerical Methods in Engineering. View this article in WRRO
Fathi F, Chen L & Borst R (2020) Extended isogeometric analysis for cohesive fracture. International Journal for Numerical Methods in Engineering. View this article in WRRO
Ghaffari Motlagh Y & de Borst R (2020) Considerations on a phase‐field model for adhesive fracture. International Journal for Numerical Methods in Engineering. View this article in WRRO
Duretz T, de Borst R, Yamato P & Le Pourhiet L (2020) Toward robust and predictive geodynamic modeling : the way forward in frictional plasticity. Geophysical Research Letters, 47(5). View this article in WRRO
Borst R & Duretz T (2020) On viscoplastic regularisation of strain‐softening rocks and soils. International Journal for Numerical and Analytical Methods in Geomechanics. View this article in WRRO
Hansen-Dörr AC, Dammaß F, de Borst R & Kästner M (2020) Phase-field modeling of crack branching and deflection in heterogeneous media. Engineering Fracture Mechanics, 232, 107004-107004. View this article in WRRO
Sabet SA & de Borst R (2019) Mesh bias and shear band inclination in standard and non-standard continua. Archive of Applied Mechanics, 89(12), 2577-2590. View this article in WRRO
Duretz T, Borst R & Le Pourhiet L (2019) Finite thickness of shear bands in frictional viscoplasticity and implications for lithosphere dynamics. Geochemistry, Geophysics, Geosystems. View this article in WRRO
Kolo I, Chen L & de Borst R (2019) Strain-gradient elasticity and gradient-dependent plasticity with hierarchical refinement of NURBS. Finite Elements in Analysis and Design, 163, 31-43. View this article in WRRO
Hageman T & de Borst R (2019) A convergence study of monolithic simulations of flow and deformation in fractured poroelastic media. International Journal for Numerical Methods in Engineering. View this article in WRRO
Hageman T, Fathima KMP & de Borst R (2019) Isogeometric analysis of fracture propagation in saturated porous media due to a pressurised non-Newtonian fluid. Computers and Geotechnics, 112, 272-283. View this article in WRRO
Sabet SA & Borst R (2019) Structural softening, mesh dependence, and regularisation in non‐associated plastic flow. International Journal for Numerical and Analytical Methods in Geomechanics. View this article in WRRO
Chen L, Li B & Borst R (2019) Energy conservation during remeshing in the analysis of dynamic fracture. International Journal for Numerical Methods in Engineering. View this article in WRRO
Hageman T & de Borst R (2019) Flow of non‐Newtonian fluids in fractured porous media: Isogeometric vs standard finite element discretisation. International Journal for Numerical and Analytical Methods in Geomechanics. View this article in WRRO
Fathima KMP & de Borst R (2019) Implications of single or multiple pressure degrees of freedom at fractures in fluid-saturated porous media. Engineering Fracture Mechanics, 213, 1-20. View this article in WRRO
Hansen-Dörr AC, de Borst R, Hennig P & Kästner M (2019) Phase-field modelling of interface failure in brittle materials. Computer Methods in Applied Mechanics and Engineering, 346, 25-42. View this article in WRRO
Chen L & de Borst R (2019) Cohesive fracture analysis using Powell-Sabin B-splines. International Journal for Numerical and Analytical Methods in Geomechanics, 43(2), 625-640. View this article in WRRO
Duretz T, Souche A, de Borst R & Le Pourhiet L (2018) The Benefits of Using a Consistent Tangent Operator for Viscoelastoplastic Computations in Geodynamics. Geochemistry, Geophysics, Geosystems, 19(12), 4904-4924. View this article in WRRO
Chen L, Verhoosel CV & de Borst R (2018) Discrete Fracture Analysis using Locally Refined T-splines. International Journal for Numerical Methods in Engineering, 116(2), 117-140. View this article in WRRO
Keshavanarayana P, Ruess M & de Borst R (2018) On the monolithic and staggered solution of cell contractility and focal adhesion growth. International Journal for Numerical Methods in Biomedical Engineering. View this article in WRRO
Chen L & de Borst R (2018) Adaptive refinement of hierarchical T-splines. Computer Methods in Applied Mechanics and Engineering, 337, 220-245. View this article in WRRO
Chen L & de Borst R (2018) Locally Refined T-splines. International Journal for Numerical Methods in Engineering. View this article in WRRO
Kolo I & de Borst R (2018) Dispersion and isogeometric analyses of second-order and fourth-order implicit gradient-enhanced plasticity models. International Journal for Numerical Methods in Engineering. View this article in WRRO
Meschke G, Pichler B, Rots J, de Borst R & Mang H (2018) Preface. Computational Modelling of Concrete Structures - Proceedings of the conference on Computational Modelling of Concrete&amp;amp;amp;amp;amp;amp;amp;amp;nbsp;and Concrete Structures, EURO-C 2018, xiii-xiv.
Keshavanarayana P, Ruess M & de Borst R (2017) A feedback-loop extended stress fiber growth model with focal adhesion formation. International Journal of Solids and Structures, 128, 160-173. View this article in WRRO
Chen L, Lingen FJ & de Borst R (2017) Adaptive hierarchical refinement of NURBS in cohesive fracture analysis. International Journal for Numerical Methods in Engineering, 112(13), 2151-2173. View this article in WRRO
Kolo I, Askes H & de Borst R (2017) Convergence analysis of Laplacian-based gradient elasticity in an isogeometric framework. Finite Elements in Analysis and Design, 135, 56-67. View this article in WRRO
Kolo I, Askes H & de Borst R (2017) Convergence analysis of Laplacian-based gradient elasticity in an isogeometric framework. Finite Elements in Analysis and Design, 135, 56-67. View this article in WRRO
de Borst R & Chen L (2017) The role of Bézier extraction in adaptive isogeometric analysis: Local refinement and hierarchical refinement. International Journal for Numerical Methods in Engineering. View this article in WRRO
Linse T, Hennig P, Kaestner M & de Borst R (2017) A convergence study of phase-field models for brittle fracture. Engineering Fracture Mechanics. View this article in WRRO
Kolo I & de Borst R (2017) An isogeometric analysis approach to gradient-dependent plasticity. International Journal for Numerical Methods in Engineering. View this article in WRRO
de Borst R (2017) Fluid flow in fractured and fracturing porous media: A unified view. Mechanics Research Communications, 80, 47-57. View this article in WRRO
de Borst R (2017) A classification of poromechanical interface elements. Journal of Modeling in Mechanics and Materials, 1(1). View this article in WRRO
de Borst R & Verhoosel CV (2016) Gradient damage vs phase-field approaches for fracture: Similarities and differences. Computer Methods in Applied Mechanics and Engineering, 312, 78-94. View this article in WRRO
May S, de Borst R & Vignollet J (2016) Powell–Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials. Computer Methods in Applied Mechanics and Engineering, 307, 193-214. View this article in WRRO
May S, Vignollet J & Borst RD (2016) Powell–Sabin B‐splines and unstructured standard T‐splines for the solution of the Kirchhoff–Love plate theory exploiting Bézier extraction. International Journal for Numerical Methods in Engineering, 107(3), 205-233. View this article in WRRO
Singh N, Verhoosel CV, de Borst R & van Brummelen EH (2016) A fracture-controlled path-following technique for phase-field modeling of brittle fracture. Finite Elements in Analysis and Design, 113, 14-29. View this article in WRRO
Vignollet J, May S & Borst RD (2016) Isogeometric analysis of fluid-saturated porous media including flow in the cracks. International Journal for Numerical Methods in Engineering. View this article in WRRO
May S, Vignollet J & de Borst R (2016) A new arc-length control method based on the rates of the internal and the dissipated energy. Engineering Computations, 33(1), 100-115. View this article in WRRO
Kästner M, Metsch P & de Borst R (2016) Isogeometric analysis of the Cahn–Hilliard equation – a convergence study. Journal of Computational Physics, 305, 360-371. View this article in WRRO
de Borst R, Borja R, Darve F, Pijaudier-Cabot G & Whittle A (2015) Preface of the special issue on ‘poromechanics in honour of Arnold Verruijt’. International Journal for Numerical and Analytical Methods in Geomechanics, 39(14), 1483-1483.
May S, Vignollet J & de Borst R (2015) The role of the Bézier extraction operator for T-splines of arbitrary degree: linear dependencies, partition of unity property, nesting behaviour and local refinement. International Journal for Numerical Methods in Engineering, 103(8), 547-581. View this article in WRRO
May S, Vignollet J & de Borst R (2015) A numerical assessment of phase-field models for brittle and cohesive fracture: Γ-Convergence and stress oscillations. European Journal of Mechanics - A/Solids, 52, 72-84. View this article in WRRO
Vignollet J, May S & de Borst R (2015) On the numerical integration of isogeometric interface elements. International Journal for Numerical Methods in Engineering, 102(11), 1733-1749. View this article in WRRO
de Borst R, Farhat C, Fish J, Harari I, Letallec P & Perić D (2015) Special Issue in Tribute to Professor Ted Belytschko. International Journal for Numerical Methods in Engineering, 102(3-4), 157-158.
Verhoosel CV, van Zwieten GJ, van Rietbergen B & de Borst R (2015) Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone. Computer Methods in Applied Mechanics and Engineering, 284, 138-164. View this article in WRRO
Hosseini S, Remmers JJC, Verhoosel CV & de Borst R (2015) Propagation of delamination in composite materials with isogeometric continuum shell elements. International Journal for Numerical Methods in Engineering, 102(3-4), 159-179. View this article in WRRO
(2014) Ted Bohdan Belytschko (January 13, 1943-September 15, 2014). International Journal for Numerical Methods in Engineering, 100(10), 711-712.
Hosseini S, Remmers JJC & de Borst R (2014) The incorporation of gradient damage models in shell elements. International Journal for Numerical Methods in Engineering, 98(6), 391-398. View this article in WRRO
Hosseini S, Remmers JJC, Verhoosel CV & de Borst R (2014) An isogeometric continuum shell element for non-linear analysis. Computer Methods in Applied Mechanics and Engineering, 271, 1-22. View this article in WRRO
Irzal F, Remmers JJC, Verhoosel CV & de Borst R (2014) An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems. International Journal for Numerical Methods in Engineering, 97(8), 608-628. View this article in WRRO
Sadowski T, Trovalusci P, Schrefler B & de Borst R (2014) Multi-scale and multi-physics modelling for complex materials. Meccanica, 49(11), 2549-2550.
Vignollet J, May S, de Borst R & Verhoosel CV (2014) Phase-field models for brittle and cohesive fracture. Meccanica, 49(11), 2587-2601. View this article in WRRO
Verhoosel CV & de Borst R (2013) A phase-field model for cohesive fracture. International Journal for Numerical Methods in Engineering, 96(1), 43-62. View this article in WRRO
Irzal F, Remmers JJC, Verhoosel CV & de Borst R (2013) Isogeometric finite element analysis of poroelasticity. International Journal for Numerical and Analytical Methods in Geomechanics, 37(12), 1891-1907.
Hosseini S, Remmers JJC, Verhoosel CV & de Borst R (2013) An isogeometric solid-like shell element for nonlinear analysis. International Journal for Numerical Methods in Engineering, 95(3), 238-256.
Remmers JJC, Borst R, Verhoosel CV & Needleman A (2013) The cohesive band model: a cohesive surface formulation with stress triaxiality. International Journal of Fracture, 181(2), 177-188. View this article in WRRO
Irzal F, Remmers JJC, Huyghe JM & de Borst R (2013) A large deformation formulation for fluid flow in a progressively fracturing porous material. Computer Methods in Applied Mechanics and Engineering, 256, 29-37. View this article in WRRO
Kraaijeveld F, Huyghe JM, Remmers JJC & de Borst R (2013) Two-Dimensional Mode I Crack Propagation in Saturated Ionized Porous Media Using Partition of Unity Finite Elements. Journal of Applied Mechanics, 80(2).
van Opstal TM, van Brummelen EH, de Borst R & Lewis MR (2012) A finite-element/boundary-element method for large-displacement fluid-structure interaction. Computational Mechanics, 50(6), 779-788.
Darve F, de Borst R & Whittle A (2012) Editorial. International Journal for Numerical and Analytical Methods in Geomechanics, 36(9), 1101-1101.
van der Zee KG, van Brummelen EH, Akkerman I & de Borst R (2011) Goal-oriented error estimation and adaptivity for fluid–structure interaction using exact linearized adjoints. Computer Methods in Applied Mechanics and Engineering, 200(37-40), 2738-2757.
Verhoosel CV, Scott MA, de Borst R & Hughes TJR (2011) An isogeometric approach to cohesive zone modeling. International Journal for Numerical Methods in Engineering, 87(1-5), 336-360. View this article in WRRO
Verhoosel CV, Scott MA, Borden MJ, Hughes TJ & de Borst R (2011) Discretization of higher-order gradient damage models using isogeometric finite elements.
Verhoosel CV, Scott MA, Hughes TJR & de Borst R (2011) An isogeometric analysis approach to gradient damage models. International Journal for Numerical Methods in Engineering, 86(1), 115-134. View this article in WRRO
Michler C, van Brummelen H & de Borst R (2011) An investigation of Interface-GMRES(R) for fluid–structure interaction problems with flutter and divergence. Computational Mechanics, 47(1), 17-29.
Aubertin P, Réthoré J & de Borst R (2010) A Multiscale Molecular Dynamics / Extended Finite Element Method for Dynamic Fracture, 211-237.
de Borst R (2010) Multi-Scale Methods and Evolving Discontinuities. Computational Technology Reviews, 1, 1-28.
Belytschko T & de Borst R (2010) Multiscale Methods in Computational Mechanics. International Journal for Numerical Methods in Engineering, 83(8-9), 939-939.
Verhoosel CV, Remmers JJC, Gutiérrez MA & de Borst R (2010) Computational homogenization for adhesive and cohesive failure in quasi-brittle solids. International Journal for Numerical Methods in Engineering, 83(8-9), 1155-1179. View this article in WRRO
Aubertin P, Rethore J & de Borst R (2010) Dynamic Crack Propagation Using a Combined Molecular Dynamics/Extended Finite Element Approach. International Journal for Multiscale Computational Engineering, 8(2), 221-235.
Cid Alfaro MV, Suiker ASJ & De Borst R (2010) Transverse Failure Behavior of Fiber-epoxy Systems. Journal of Composite Materials, 44(12), 1493-1516.
van der Zee KG, van Brummelen EH & de Borst R (2010) Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Shape-Linearization Approach. SIAM Journal on Scientific Computing, 32(2), 1093-1118.
van der Zee KG, van Brummelen EH & de Borst R (2010) Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Domain-Map Linearization Approach. SIAM Journal on Scientific Computing, 32(2), 1064-1092.
Cid Alfaro MV, Suiker ASJ, Verhoosel CV & de Borst R (2010) Numerical homogenization of cracking processes in thin fibre-epoxy layers. European Journal of Mechanics - A/Solids, 29(2), 119-131.
Aubertin P, Réthoré J & de Borst R (2010) A coupled molecular dynamics and extended finite element method for dynamic crack propagation. International Journal for Numerical Methods in Engineering, 81(1), 72-88.
Alfaro MVC, Suiker ASJ, Verhoosel CV & de Borst R (2009) Computational homogenization of discrete fracture in fibre-epoxy systems. International Journal of Material Forming, 2(S1), 931-934.
Aubertin P, Réthoré J & de Borst R (2009) Energy conservation of atomistic/continuum coupling. International Journal for Numerical Methods in Engineering, 78(11), 1365-1386.
Cid Alfaro MV, Suiker ASJ, Borst RD & Remmers JJC (2009) Analysis of fracture and delamination in laminates using 3D numerical modelling. Engineering Fracture Mechanics, 76(6), 761-780.
Darve F, Sture S, de Borst R, Whittle AJ & Smith IM (2009) Announcement. International Journal for Numerical and Analytical Methods in Geomechanics, 33(3), na-na.
de Borst R, Rethore J & Abellan M-A (2009) A Precis Of Two-Scale Approaches For Fracture In Porous Media, 149-171.
de Borst R (2009) Numerical methods for The Modelling Of Debonding In Composites, 37-76.
Valance S, de Borst R, Réthoré J & Coret M (2008) A partition-of-unity-based finite element method for level sets. International Journal for Numerical Methods in Engineering, 76(10), 1513-1527.
van Brummelen EH, van der Zee KG & de Borst R (2008) Space/time multigrid for a fluid–structure-interaction problem. Applied Numerical Mathematics, 58(12), 1951-1971.
Réthoré J, de Borst R & Abellan M-A (2008) A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks. Computational Mechanics, 42(2), 227-238.
de Borst R (2008) Challenges in computational materials science: Multiple scales, multi-physics and evolving discontinuities. Computational Materials Science, 43(1), 1-15.
de Borst R, Rethore J & Abellan M-A (2008) Two-scale approaches for fracture in fluid-saturated porous media. Interaction and multiscale mechanics, 1(1), 83-101.
REMMERS J, DEBORST R & NEEDLEMAN A (2008) The simulation of dynamic crack propagation using the cohesive segments method. Journal of the Mechanics and Physics of Solids, 56(1), 70-92.
Aubertin P, de Borst R & Réthoré J (2008) A method for coupling atoms to continuum mechanics for capturing dynamic crack propagation. European Journal of Computational Mechanics, 17(5-7), 651-662.
Belytschko T, de Borst R & Farhat C (2007) Professor Roland W. Lewis bows out as Editor. International Journal for Numerical Methods in Engineering, 72(12), 1389-1390.
Akkerman I, Hulshoff SJ & de Borst R (2007) Multiscale overlap coupling for hybrid computations. Computer Methods in Applied Mechanics and Engineering, 196(41-44), 4294-4303.
Munts EA, Hulshoff SJ & de Borst R (2007) A modal-based multiscale method for large eddy simulation. Journal of Computational Physics, 224(1), 389-402.
Réthoré J, de Borst R & Abellan M-A (2007) A discrete model for the dynamic propagation of shear bands in a fluid-saturated medium. International Journal for Numerical and Analytical Methods in Geomechanics, 31(2), 347-370.
Van Der Zee KG, Van Brummelen EH & De Borst R (2006) An ${H^1(mathcal{P}^{mathsf{h})}$‐Coercive Discontinuous Galerkin Formulation for the Poisson Problem: 1D Analysis. SIAM Journal on Numerical Analysis, 44(6), 2671-2698.
de Borst R, Réthoré J & Abellan M-A (2006) A Numerical Approach for Arbitrary Cracks in a Fluid-Saturated Medium. Archive of Applied Mechanics, 75(10-12), 595-606.
Abellan M-A & de Borst R (2006) Wave propagation and localisation in a softening two-phase medium. Computer Methods in Applied Mechanics and Engineering, 195(37-40), 5011-5019.
de Borst R & Remmers JJC (2006) Computational modelling of delamination. Composites Science and Technology, 66(6), 713-722.
Michler C, van Brummelen EH & de Borst R (2006) Error-amplification analysis of subiteration-preconditioned GMRES for fluid–structure interaction. Computer Methods in Applied Mechanics and Engineering, 195(17-18), 2124-2148.
Borst RD, Remmers JJC & Needleman A (2006) Mesh-independent discrete numerical representations of cohesive-zone models. Engineering Fracture Mechanics, 73(2), 160-177.
van Brummelen EH & de Borst R (2005) On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem. SIAM Journal on Scientific Computing, 27(2), 599-621.
Suiker ASJ & de Borst R (2005) Enhanced continua and discrete lattices for modelling granular assemblies. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 363(1836), 2543-2580.
Baker G & Borst RD (2005) An anisotropic thermomechanical damage model for concrete at transient elevated temperatures. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 363(1836), 2603-2628.
Michler C, van Brummelen EH & de Borst R (2005) An interface Newton-Krylov solver for fluid-structure interaction. International Journal for Numerical Methods in Fluids, 47(10-11), 1189-1195.
Chung DB, Gutiérrez MA & Borst RD (2005) Object-oriented stochastic finite element analysis of fibre metal laminates. Computer Methods in Applied Mechanics and Engineering, 194(12-16), 1427-1446.
Meijers SJH, Bijen JMJM, de Borst R & Fraaij ALA (2005) Computational results of a model for chloride ingress in concrete including convection, drying-wetting cycles and carbonation. Materials and Structures, 38(2), 145-154.
Bićanić N, Borst RD, Mang H & Meschke G (2004) Preface to computational mechanics of concrete and concrete structures. International Journal for Numerical and Analytical Methods in Geomechanics, 28(78), 563-564.
Borst RD, Remmers JJC, Needleman A & Abellan M-A (2004) Discretevs smeared crack models for concrete fracture: bridging the gap. International Journal for Numerical and Analytical Methods in Geomechanics, 28(78), 583-607.
Michler C, Hulshoff SJ, van Brummelen EH & de Borst R (2004) A monolithic approach to fluid–structure interaction. Computers & Fluids, 33(5-6), 839-848.
MATSUDA A, WATANABE O & BORST RD (2004) The Stress Rate of Hyperelasticity Based on the Updated Lagrangian Formulation. JSME International Journal Series A, 47(2), 164-172.
Remmers JJC, Wells GN & Borst RD (2003) A solid-like shell element allowing for arbitrary delaminations. International Journal for Numerical Methods in Engineering, 58(13), 2013-2040.
Gutiérrez MA & De Borst R (2003) Simulation of size-effect behaviour through sensitivity analyses. Engineering Fracture Mechanics, 70(16), 2269-2279.
Munts EA, Hulshoff SJ & des Borst R (2003) The partition-of-unity method for linear diffusion and convection problems: accuracy, stabilization and multiscale interpretation. International Journal for Numerical Methods in Fluids, 43(2), 199-213.
Michler C, van Brummelen EH, Hulshoff SJ & de Borst R (2003) The relevance of conservation for stability and accuracy of numerical methods for fluid–structure interaction. Computer Methods in Applied Mechanics and Engineering, 192(37-38), 4195-4215.
Kononov A & de Borst R (2003) Generation of elastic waves in a laminated solid by a moving photothermal source. Journal of Sound and Vibration, 266(1), 171-187.
de Borst R (2003) Numerical aspects of cohesive-zone models. Engineering Fracture Mechanics, 70(14), 1743-1757.
van Brummelen EH, Hulshoff SJ & de Borst R (2003) Energy conservation under incompatibility for fluid–structure interaction problems. Computer Methods in Applied Mechanics and Engineering, 192(25), 2727-2748.
Suiker ASJ & de Borst R (2003) A numerical model for the cyclic deterioration of railway tracks. International Journal for Numerical Methods in Engineering, 57(4), 441-470.
Kuhl E, Hulshoff S & de Borst R (2003) An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. International Journal for Numerical Methods in Engineering, 57(1), 117-142.
van Mier JGM, Mazars J, Pijaudier-Cabot G & de Borst R (2003) Fracture mechanics of concrete and concrete structures 4th International FraMCoS Conference, held in Cachan, France, from May 28 to June 1, 2001. Engineering Fracture Mechanics, 70(7-8), 837-837.
Remmers JJC, Borst RD & Needleman A (2003) A cohesive segments method for the simulation of crack growth. Computational Mechanics, 31(1-2), 69-77.
Pamin J, Askes H & de Borst R (2003) Two gradient plasticity theories discretized with the element-free Galerkin method. Computer Methods in Applied Mechanics and Engineering, 192(20-21), 2377-2403.
De Borst R & Abellan MA (2002) A numerical framework for continuum damage - Discontinuum transition. Archives of Mechanics, 54(5-6), 377-387.
de Borst R & Heeres OM (2002) A unified approach to the implicit integration of standard, non-standard and viscous plasticity models. International Journal for Numerical and Analytical Methods in Geomechanics, 26(11), 1059-1070.
Wells GN, de Borst R & Sluys LJ (2002) A consistent geometrically non-linear approach for delamination. International Journal for Numerical Methods in Engineering, 54(9), 1333-1355.
de Borst R, Kyriakides S & van Baten T (2002) . International Journal of Non-Linear Mechanics, 37(4-5), 571-573.
Wells GN, Sluys LJ & de Borst R (2002) A p-adaptive scheme for overcoming volumetric locking during plastic flow. Computer Methods in Applied Mechanics and Engineering, 191(29-30), 3153-3164.
Peerlings RHJ, de Borst R, Brekelmans WAM & Geers MGD (2002) Localisation issues in local and nonlocal continuum approaches to fracture. European Journal of Mechanics - A/Solids, 21(2), 175-189.
Wells GN, Sluys LJ & de Borst R (2002) Simulating the propagation of displacement discontinuities in a regularized strain-softening medium. International Journal for Numerical Methods in Engineering, 53(5), 1235-1256.
Heeres OM, Suiker ASJ & de Borst R (2002) A comparison between the Perzyna viscoplastic model and the Consistency viscoplastic model. European Journal of Mechanics - A/Solids, 21(1), 1-12.
Kononov AV & de Borst R (2002) Instability analysis of vibrations of a uniformly moving mass in one and two-dimensional elastic systems. European Journal of Mechanics - A/Solids, 21(1), 151-165.
de Borst R (2002) Fracture in quasi-brittle materials: a review of continuum damage-based approaches. Engineering Fracture Mechanics, 69(2), 95-112.
Schipperen JHA & de Borst R (2001) A numerical analysis of mixed-mode delamination in carbon–epoxy prepregs. Composite Structures, 54(4), 445-451.
Meijers SJH, Bijen JMJM, De Borst R & Fraaij ALA (2001) Computational modelling of chloride ion transport in reinforced concrete. Heron, 46(3), 207-216.
van Zijl GPAG, de Borst R & Rots JG (2001) A numerical model for the time‐dependent cracking of cementitious materials. International Journal for Numerical Methods in Engineering, 52(7), 637-654.
Remmers JJC & de Borst R (2001) Delamination buckling of fibre–metal laminates. Composites Science and Technology, 61(15), 2207-2213.
Peerlings RHJ, Geers MGD, de Borst R & Brekelmans WAM (2001) A critical comparison of nonlocal and gradient-enhanced softening continua. International Journal of Solids and Structures, 38(44-45), 7723-7746.
Suiker ASJ, de Borst R & Chang CS (2001) Micro-mechanical modelling of granular material. Part 2: Plane wave propagation in infinite media. Acta Mechanica, 149(1-4), 181-200.
Suiker ASJ, de Borst R & Chang CS (2001) Micro-mechanical modelling of granular material. Part 1: Derivation of a second-gradient micro-polar constitutive theory. Acta Mechanica, 149(1-4), 161-180.
Borst RD (2001) Some recent issues in computational failure mechanics. International Journal for Numerical Methods in Engineering, 52(12), 63-95.
Fish J & Yu Q (2001) Multiscale damage modelling for composite materials: theory and computational framework. International Journal for Numerical Methods in Engineering, 52(12), 161-191.
de Borst R, Wells GN & Sluys LJ (2001) Some observations on embedded discontinuity models. Engineering Computations, 18(1/2), 241-254.
Zhang HW, Heeres OM, de Borst R & Schrefler BA (2001) Implicit integration of a generalized plasticity constitutive model for partially saturated soil. Engineering Computations, 18(1/2), 314-336.
KONONOV AV & DE BORST R (2001) RADIATION EMITTED BY A CONSTANT LOAD IN A CIRCULAR MOTION ON AN ELASTICALLY SUPPORTED MINDLIN PLATE. Journal of Sound and Vibration, 245(1), 45-61.
van Zijl GPAG, de Borst R & Rots JG (2001) The role of crack rate dependence in the long-term behaviour of cementitious materials. International Journal of Solids and Structures, 38(30-31), 5063-5079.
Kononov AV, de Borst R & Wolfert ARM (2001) Radiation emitted by a constant load moving uniformly in a circle on an elastically supported membrane. Wave Motion, 33(4), 349-357.
SUIKER ASJ, METRIKINE AV & DE BORST R (2001) DYNAMIC BEHAVIOUR OF A LAYER OF DISCRETE PARTICLES, PART 1: ANALYSIS OF BODY WAVES AND EIGENMODES. Journal of Sound and Vibration, 240(1), 1-18.
SUIKER ASJ, METRIKINE AV & DE BORST R (2001) DYNAMIC BEHAVIOUR OF A LAYER OF DISCRETE PARTICLES, PART 2: RESPONSE TO A UNIFORMLY MOVING, HARMONICALLY VIBRATING LOAD. Journal of Sound and Vibration, 240(1), 19-39.
Suiker ASJ, Metrikine AV & de Borst R (2001) Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models. International Journal of Solids and Structures, 38(9), 1563-1583.
Hashagen F & de Borst R (2001) Enhancement of the Hoffman yield criterion with an anisotropic hardening model. Computers & Structures, 79(6), 637-651.
Heeres OM & de Borst R (2001) Computational Geomechanics with Special Reference to Earthquake Engineering, O. C. Zienkiewicz, A. H. C. Chan, M. Pastor, B. A. Schrefler and T. Shiomi, Wiley, Chichester, ISBN 0 471 98285 7. International Journal for Numerical and Analytical Methods in Geomechanics, 25(1), 107-107.
Peerlings RHJ, Brekelmans WAM, de Borst R & Geers MGD (2001) Mathematical and numerical aspects of an elasticity-based local approach to fracture. Revue Européenne des Éléments Finis, 10(2-4), 209-226.
Peerlings RHJ, Brekelmans WAM, de Borst R & Geers MGD (2000) Gradient-enhanced damage modelling of high-cycle fatigue. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 49(12), 1547-1569.
Peerlings RHJ, Brekelmans WAM, de Borst R & Geers MGD (2000) Gradient-enhanced damage modelling of high-cycle fatigue. International Journal for Numerical Methods in Engineering, 49(12), 1547-1569.
Geers MGD, Peerlings RHJ, Brekelmans WAM & de Borst R (2000) Phenomenological nonlocal approaches based on implicit gradient-enhanced damage. Acta Mechanica, 144(1-2), 1-15.
Van Zijl GPAG, De Borst R & Rots JG (2000) Time-dependent fracture of cementitious materials. Heron, 45(4), 255-273.
van der Veen H, Vuik K & de Borst R (2000) Branch switching techniques for bifurcation in soil deformation. Computer Methods in Applied Mechanics and Engineering, 190(5-7), 707-719.
Arbocz J, de Borst R & van der Giessen E (2000) Stability, strength and stiffness in materials and structures - Preface. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 37(46-47), 6773-6775.
Gutiérrez MA & De Borst R (2000) Stochastic aspects of localised failure: material and boundary imperfections. International Journal of Solids and Structures, 37(48-50), 7145-7159.
Askes H, Pamin J & de Borst R (2000) Dispersion analysis and element-free Galerkin solutions of second- and fourth-order gradient-enhanced damage models. International Journal for Numerical Methods in Engineering, 49(6), 811-832.
Hashagen F & de Borst R (2000) Numerical assessment of delamination in fibre metal laminates. Computer Methods in Applied Mechanics and Engineering, 185(2-4), 141-159.
di Prisco M, Ferrara L, Meftah F, Pamin J, de Borst R, Mazars J & Reynouard JM (2000) . International Journal of Fracture, 103(2), 127-148.
Kuhl E, Ramm E & de Borst R (2000) An anisotropic gradient damage model for quasi-brittle materials. Computer Methods in Applied Mechanics and Engineering, 183(1-2), 87-103.
Ganghoffer JF & de Borst R (2000) A new framework in nonlocal mechanics. International Journal of Engineering Science, 38(4), 453-486.
Geers MGD, de Borst R & Peerlings RHJ (2000) Damage and crack modeling in single-edge and double-edge notched concrete beams. Engineering Fracture Mechanics, 65(2-3), 247-261.
Borino G & de Borst R (2000) Some observations on the regularizing field for gradient damage models. Acta Mechanica, 140(3-4), 149-162.
Suiker ASJ, Metrikine AV & De Borst R (2000) Steady state response of a granular layer to a moving load - a discrete model. Heron, 45(1), 75-87.
Gutiérrez MA & De Borst R (1999) Deterministic and stochastic analysis of size effects and damage evolution in quasi-brittle materials. Archive of Applied Mechanics (Ingenieur Archiv), 69(9-10), 655-676.
Heeres OM & de Borst R (1999) Performance of low‐order triangular elements during plastic flow. Engineering Computations, 16(1), 70-87.
de Borst R & Groen AE (1999) Towards efficient and robust elements for 3D-soil plasticity. Computers & Structures, 70(1), 23-34.
De Borst R & Gutiérrez MA (1999) A unified framework for concrete damage and fracture models including size effects, 261-277.
de Borst R, Pamin J & Geers MGD (1999) On coupled gradient-dependent plasticity and damage theories with a view to localization analysis. European Journal of Mechanics - A/Solids, 18(6), 939-962.
van der Veen H, Vuik C & de Borst R (1999) An eigenvalue analysis of nonassociated plasticity. Computers & Mathematics with Applications, 38(9-10), 107-115.
van der Veen H, Vuik K & de Borst R (1999) The relation between numerical and material stress states. Computers & Mathematics with Applications, 38(9-10), 245-249.
Hashagen F, de Borst R & de Vries T (1999) Delamination behavior of spliced Fiber Metal Laminates. Part 2. Numerical investigation. Composite Structures, 46(2), 147-162.
Suiker ASJ, Chang CS, de Borst R & Esveld C (1999) Surface waves in a stratified half space with enhanced continuum properties. Part 2: Analysis of the wave characteristics in regard to high-speed railway tracks. European Journal of Mechanics - A/Solids, 18(5), 769-784.
Suiker ASJ, Chang CS, de Borst R & Esveld C (1999) Surface waves in a stratified half space with enhanced continuum properties. Part 1: Formulation of the boundary value problem. European Journal of Mechanics - A/Solids, 18(5), 749-768.
Geers MGD, de Borst R & Peijs T (1999) Mixed numerical-experimental identification of non-local characteristics of random-fibre-reinforced composites. Composites Science and Technology, 59(10), 1569-1578.
Geers MGD, Borst RD, Brekelmans WAM & Peerlings RHJ (1999) Validation and internal length scale determination for a gradient damage model: application to short glass-fibre-reinforced polypropylene. International Journal of Solids and Structures, 36(17), 2557-2583.
Gutierrez MA & de Borst R (1999) Numerical analysis of localization using a viscoplastic regularization: Influence of stochastic material defects. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 44(12), 1823-1841.
Guti�rrez MA & De Borst R (1999) Numerical analysis of localization using a viscoplastic regularization: influence of stochastic material defects. International Journal for Numerical Methods in Engineering, 44(12), 1823-1841.
Askes H, de Borst R & Heeres O (1999) Conditions for locking-free elasto-plastic analyses in the Element-Free Galerkin method. Computer Methods in Applied Mechanics and Engineering, 173(1-2), 99-109.
van Vroonhoven JCW & de Borst R (1999) Combination of fracture and damage mechanics for numerical failure analysis. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 36(8), 1169-1191.
Ganghoffer JF, Sluys LJ & de Borst R (1999) A reappraisal of nonlocal mechanics. European Journal of Mechanics - A/Solids, 18(1), 17-46.
De Borst R & Guitiérrez MA (1999) . International Journal of Fracture, 95(1/4), 261-277.
Geers MGD, De Borst R, Brekelmans WAM & Peerlings RHJ (1998) On the use of local strain fields for the determination of the intrinsic length scale. Journal De Physique. IV : JP, 8(8).
Hashagen F & De Borst R (1998) Numerical assessment of failure mechanisms in fibre metal laminates. Heron, 43(2), 63-84.
Brillard A, Ganghoffer JF & De Borst R (1998) Asymptotic behaviour of micropolar adhesives. Journal De Physique. IV : JP, 8(8).
de Borst R, Geers MGD, Peerlings RHJ & Benallal A (1998) Some remarks on gradient and nonlocal damage theories, 223-236.
Peerlings RHJ, De Borst R, Brekelmans WAM & Geers MGD (1998) Wave propagation and localisation in nonlocal and gradient-enhanced damage models. Journal De Physique. IV : JP, 8(8).
Brillard A, Ganghoffer JF & de Borst R (1998) Asymptotic behaviour of micropolar adhesives. Le Journal de Physique IV, 08(PR8).
Peerlings RHJ, de Borst R, Brekelmans WAM & Geers MGD (1998) Wave propagation and localisation in nonlocal and gradient-enhanced damage models. Le Journal de Physique IV, 08(PR8).
Geers MGD, de Borst R, Brekelmans WAM & Peerlings RHJ (1998) On the use of local strain fields for the determination of the intrinsic length scale. Le Journal de Physique IV, 08(PR8).
Pamin J & de Borst R (1998) Simulation of crack spacing using a reinforced concrete model with an internal length parameter. Archive of Applied Mechanics (Ingenieur Archiv), 68(9), 613-625.
Peerlings RHJ, de Borst R, Brekelmans WAM & Geers MGD (1998) Gradient-enhanced damage modelling of concrete fracture. Mechanics of Cohesive-frictional Materials, 3(4), 323-342.
Gutiérrez MA & de Borst R (1998) Studies in material parameter sensitivity of softening solids. Computer Methods in Applied Mechanics and Engineering, 162(1-4), 337-350.
Geers MGD, de Borst R, Brekelmans WAM & Peerlings RHJ (1998) Strain-based transient-gradient damage model for failure analyses. Computer Methods in Applied Mechanics and Engineering, 160(1-2), 133-153.
Ganghoffer J-F, Brillard A & De Borst R (1998) Description of the mechanical behaviour of micropolar adhesives. Mathematical and Computer Modelling, 27(7), 23-49.
Weihe S, Kröplin B & De Borst R (1998) Classification of smeared crack models based on material and structural properties. International Journal of Solids and Structures, 35(12), 1289-1308.
Suiker ASJ, de Borst R & Esveld C (1998) Critical behaviour of a Timoshenko beam-half plane system under a moving load. Archive of Applied Mechanics (Ingenieur Archiv), 68(3-4), 158-168.
Lourénço PB, De Borst R & Rots JG (1997) A plane stress softening plasticity model for orthotropic materials. International Journal for Numerical Methods in Engineering, 40(21), 4033-4057.
Wang WM, Sluys LJ & de Borst R (1997) Viscoplasticity for instabilities due to strain softening and strain-rate softening. International Journal for Numerical Methods in Engineering, 40(20), 3839-3864.
VAN VROONHOVEN JCW & DE BORST R (1997) . International Journal of Fracture, 84(2), 175-190.
De Borst R (1997) . International Journal of Fracture, 86(1/2), 5-36.
De Borst R (1997) Robustness in numerical computations of damage evolution in cohesive-frictional materials. Computer Assisted Mechanics and Engineering Sciences, 4(1), 27-54.
Groen AE & De Borst R (1997) Three-dimensional finite element analysis of tunnels and foundations. Heron, 42(4), 183-214.
Hashagen F & de Borst R (1997) An interface element for modelling the onset and growth of mixed-mode cracking in aluminium and fibre metal laminates. Structural Engineering and Mechanics, 5(6), 817-837.
Geers MGD, De Borst R & Brekelmans WAM (1996) Computing strain fields from discrete displacement fields in 2D-solids. International Journal of Solids and Structures, 33(29), 4293-4307.
PEERLINGS RHJ, DE BORST R, BREKELMANS WAM & DE VREE JHP (1996) GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS. International Journal for Numerical Methods in Engineering, 39(19), 3391-3403.
VAN DEN BERG P, DE BORST R & Huétink H (1996) AN EULEREAN FINITE ELEMENT MODEL FOR PENETRATION IN LAYERED SOIL. International Journal for Numerical and Analytical Methods in Geomechanics, 20(12), 865-886.
De Borst R, Benallal A & Heeres OM (1996) A gradient-enhanced damage approach to fracture. Journal De Physique. IV : JP, 6(6).
Geers MGD, Peijs T, Brekelmans WAM & de Borst R (1996) Experimental monitoring of strain localization and failure behaviour of composite materials. Composites Science and Technology, 56(11), 1283-1290.
de Borst R, Benallal A & Heeres OM (1996) A Gradient-Enhanced Damage Approach to Fracture. Le Journal de Physique IV, 06(C6).
Sluys LJ & de Borst R (1996) Failure in plain and reinforced concrete—an analysis of crack width and crack spacing. International Journal of Solids and Structures, 33(20-22), 3257-3276.
deBorst R & Pamin J (1996) Some novel developments in finite element procedures for gradient-dependent plasticity. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 39(14), 2477-2505.
DE BORST R & PAMIN J (1996) SOME NOVEL DEVELOPMENTS IN FINITE ELEMENT PROCEDURES FOR GRADIENT-DEPENDENT PLASTICITY. International Journal for Numerical Methods in Engineering, 39(14), 2477-2505.
Carmeliet J & de Borst R (1996) Authors' closure. International Journal of Solids and Structures, 33(16), 2401-2402.
Feenstra PH & De Borst R (1996) A composite plasticity model for concrete. International Journal of Solids and Structures, 33(5), 707-730.
Darve F & de Borst R (1996) Editorial. Mechanics of Cohesive-frictional Materials, 1(1), iii-iii.
deBorst R & Pamin J (1996) Gradient plasticity in numerical simulation of concrete cracking. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 15(2), 295-320.
Peerlings RHJ, deBorst R, Brekelmans WAM, deVree JHP & Spee I (1996) Some observations on localisation in non-local and gradient damage models. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 15(6), 937-953.
Wang WM, Sluys LJ & De Borst R (1996) Interaction between material length scale and imperfection size for localization phenomena in viscoplastic media. European Journal of Mechanics, A/Solids, 15(3), 447-464.
de Borst R, Pamin J, Peerlings RHJ & Sluys LJ (1995) On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials. Computational Mechanics, 17(1-2), 130-141.
de Borst R, Pamin J, Peerlings RHJ & Sluys LJ (1995) On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials. Computational Mechanics, 17(1-2), 130-141.
Gutiérrez MA, de Borst R, Schellekens JCJ & Sluys LJ (1995) An algorithm for mesh rezoning with application to strain localization problems. Computers & Structures, 55(2), 237-247.
Sluys LJ, Cauvern M & De Borst R (1995) Discretization influence in strain—softening problems. Engineering Computations, 12(3), 209-228.
Feenstra PH & De Borst R (1995) A plasticity model and algorithm for mode-I cracking in concrete. International Journal for Numerical Methods in Engineering, 38(15), 2509-2529.
Hashagen F, Schellekens JCJ, de Borst R & Parisch H (1995) Finite element procedure for modelling fibre metal laminates. Composite Structures, 32(1-4), 255-264.
De Borst R & Groen AE (1995) Some observations on element performance in isochoric and dilatant plastic flow. International Journal for Numerical Methods in Engineering, 38(17), 2887-2906.
Feenstra PH & de Borst R (1995) Constitutive Model for Reinforced Concrete. Journal of Engineering Mechanics, 121(5), 587-595.
Carmeliet J & de Borst R (1995) Stochastic approaches for damage evolution in standard and non-standard continua. International Journal of Solids and Structures, 32(8-9), 1149-1160.
van den Boogaard AH, De Borst R & van den Bogert PAJ (1994) An adaptive time-stepping algorithm for quasistatic processes. Communications in Numerical Methods in Engineering, 10(10), 837-844.
Schellekens JCJ & de Borst R (1994) The application of interface elements and enriched or rate-dependent continua to micro-mechanical analyses of fracture in composites. Computational Mechanics, 14(1), 68-83.
de Borst R & van den Boogaard AH (1994) Finite‐Element Modeling of Deformation and Cracking in Early‐Age Concrete. Journal of Engineering Mechanics, 120(12), 2519-2534.
Schellekens JCJ & De Borst R (1994) Free edge delamination in carbon-epoxy laminates: a novel numerical/experimental approach. Composite Structures, 28(4), 357-373.
De Borst R & Groen AE (1994) A note on the calculation of consistent tangent operators for Von Mises and Drucker-Prager plasticity. Communications in Numerical Methods in Engineering, 10(12), 1021-1025.
van den Bogert PAJ & de Borst R (1994) On the behaviour of rubberlike materials in compression and shear. Archive of Applied Mechanics, 64(2), 136-146.
Shahrooz BM, Ho IK, Aktan AE, de Borst R, Blaauwendraad J, van der Veen C, Iding RH & Miller RA (1994) Nonlinear Finite Element Analysis of Deteriorated RC Slab Bridge. Journal of Structural Engineering, 120(2), 422-440.
Sluys LJ & de Borst R (1994) Dispersive properties of gradient-dependent and rate-dependent media. Mechanics of Materials, 18(2), 131-149.
Feenstra PH & de Borst R (1993) Aspects of robust computational modeling for plain and reinforced concrete. Heron, 38(4), 1-76.
DE BORST R, SLUYS LJ, MUHLHAUS H & PAMIN J (1993) FUNDAMENTAL ISSUES IN FINITE ELEMENT ANALYSES OF LOCALIZATION OF DEFORMATION. Engineering Computations, 10(2), 99-121.
Sluys LJ, de Borst R & Mühlhaus H-B (1993) Wave propagation, localization and dispersion in a gradient-dependent medium. International Journal of Solids and Structures, 30(9), 1153-1171.
Schellekens JCJ & de Borst R (1993) A non-linear finite element approach for the analysis of mode-I free edge delamination in composites. International Journal of Solids and Structures, 30(9), 1239-1253.
Schellekens JCJ & De Borst R (1993) On the numerical integration of interface elements. International Journal for Numerical Methods in Engineering, 36(1), 43-66.
de Borst R (1993) A generalisation of theory for polar continua. Computer Methods in Applied Mechanics and Engineering, 103(3), 347-362.
Sluys LJ & de Borst R (1992) Wave propagation and localization in a rate-dependent cracked medium—model formulation and one-dimensional examples. International Journal of Solids and Structures, 29(23), 2945-2958.
De Borst R & Mühlhaus H-B (1992) Gradient-dependent plasticity: Formulation and algorithmic aspects. International Journal for Numerical Methods in Engineering, 35(3), 521-539.
de Borst R (1991) Numerical modelling of bifurcation and localisation in cohesive-frictional materials. pure and applied geophysics, 137(4), 367-390.
Schellekens JCJ & De Borst R (1991) Application of linear and nonlinear fracture mechanics options to free edge delamination in laminated composites. Heron, 36(2), 37-48.
Sluys LS & De Borst R (1991) Rate-dependent modelling of concrete fracture. Heron, 36(2), 3-15.
DE BORST R (1991) SIMULATION OF STRAIN LOCALIZATION: A REAPPRAISAL OF THE COSSERAT CONTINUUM. Engineering Computations, 8(4), 317-332.
VAN DEN BOGERT PAJ, DE BORST R, LUITEN GT & ZEILMAKER J (1991) ROBUST FINITE ELEMENTS FOR 3D‐ANALYSIS OF RUBBER‐LIKE MATERIALS. Engineering Computations, 8(1), 3-17.
De Borst R (1991) The zero-normal-stress condition in plane-stress and shell elastoplasticity. Communications in Applied Numerical Methods, 7(1), 29-33.
de Borst R & Sluys LJ (1991) Localisation in a Cosserat continuum under static and dynamic loading conditions. Computer Methods in Applied Mechanics and Engineering, 90(1-3), 805-827.
Feenstra PH, Borst RD & Rots JG (1991) Numerical Study on Crack Dilatancy Part I: Models and Stability Analysis. Journal of Engineering Mechanics, 117(4), 733-753.
de Borst R, Pankaj & Bićanić N (1991) A note on singularity indicators for mohr-coulomb type yield criteria. Computers & Structures, 39(1-2), 219-220.
Feenstra PH, de Borst R & Rots JG (1991) Numerical Study on Crack Dilatancy Part 2: Applications. Journal of Engineering Mechanics, 117(4), 754-769.
Schellekens JCJ & de Borst R (1990) The use of the Hoffman yield criterion in finite element analysis of anisotropic composites. Computers & Structures, 37(6), 1087-1096.
De Borst R & Feenstra PH (1990) Studies in anisotropic plasticity with reference to the Hill criterion. International Journal for Numerical Methods in Engineering, 29(2), 315-336.
De Borst R (1989) Discussion of the paper ‘on the numerical instability of the smeared-crack approach in the non-linear modelling of concrete structures’. Communications in Applied Numerical Methods, 5(7), 489-490.
de Borst R & Rots JG (1989) Occurrence of spurious mechanisms in computations of strain‐softening solids. Engineering Computations, 6(4), 272-280.
Borst R (1989) Numerical methods for bifurcation analysis in geomechanics. Ingenieur-Archiv, 59(2), 160-174.
Rots JG & De Borst R (1989) Analysis of concrete fracture in “direct” tension. International Journal of Solids and Structures, 25(12), 1381-1394.
de Borst R & Peeters PPJM (1989) Analysis of concrete structures under thermal loading. Computer Methods in Applied Mechanics and Engineering, 77(3), 293-310.
Rots JG & de Borst R (1989) Closure to “ Analvsis of Mixed‐Mode Fracture in Concrete ” by Jan G. Rots and René de Borst (November, 1987, Vol. 113, No. 11). Journal of Engineering Mechanics, 115(10), 2346-2347.
DEBORST R (1988) CORRECTION. COMPUTERS & STRUCTURES, 28(3), 435-435.
De Borst R (1988) Bifurcations in finite element models with a non-associated flow law. International Journal for Numerical and Analytical Methods in Geomechanics, 12(1), 99-116.
de Borst R, van den Bogert PAJ & Zeilmaker J (1988) MODELLING AND ANALYSIS OF RUBBERLIKE MATERIALS.. Heron, 33(1), 2-57.
de Borst R (1987) Integration of plasticity equations for singular yield functions. Computers & Structures, 26(5), 823-829.
Rots JG & de Borst R (1987) Analysis of Mixed‐Mode Fracture in Concrete. Journal of Engineering Mechanics, 113(11), 1739-1758.
de Borst R (1987) Computation of post-bifurcation and post-failure behavior of strain-softening solids. Computers & Structures, 25(2), 211-224.
De Borst R (1987) Smeared cracking, plasticity, creep, and thermal loading—A unified approach. Computer Methods in Applied Mechanics and Engineering, 62(1), 89-110.
van Mier JGM & de Borst R (1986) 2‐D Representation of 3‐D Limit Surfaces. Journal of Engineering Mechanics, 112(11), 1255-1258.
De Borst R & Vermeer PA (1985) Discussion: Possibilities and limitations of finite elements for limit analysis. Géotechnique, 35(1), 90-94.
de Borst R & Nauta P (1985) Non‐orthogonal cracks in a smeared finite element model. Engineering Computations, 2(1), 35-46.
GRIFFITHS DV, KOUTSABELOULIS N, DEBORST R & VERMEER PA (1985) POSSIBILITIES AND LIMITATIONS OF FINITE-ELEMENTS FOR LIMIT ANALYSIS - DISCUSSION. GEOTECHNIQUE, 35(1), 90-94.
Vermeer PA & de Borst R (1984) NON-ASSOCIATED PLASTICITY FOR SOILS, CONCRETE AND ROCK.. Heron, 29(3).
De Borst R & Vermeer PA (1984) Possibilites and limitations of finite elements for limit analysis. Géotechnique, 34(2), 199-210.
de Borst R & Chen L () Phase‐field modelling of cohesive interface failure. International Journal for Numerical Methods in Engineering.
Eraslan S, Gitman I, Askes H & de Borst R () Effects of randomness and piezomagnetic coupling on the appearance of stop-bands in heterogeneous magnetorheological elastomers. Archive of Applied Mechanics.
Aubertin P, Réthoré J & Borst RD () A molecular dynamics/extended finite element method for dynamic crack propagation. Vietnam Journal of Mechanics, 30(4).
Réthoré J, Borst RD & Abellan M-A () A two-scale approach for fluid flow in fractured porous media. International Journal for Numerical Methods in Engineering, 71(7), 780-800.
Meijers SJH () Computational results of a model for chloride ingress in concrete including convection, drying-wetting cycles and carbonation. Materials and Structures, 38(276), 145-154.
Schellekens JCJ & De Borst R () On the Numerical Modelling of Edge Delamination in Composites. Key Engineering Materials, 120-121, 131-160.
Fathi F, Chen L & Borst R () X‐IGALME : Isogeometric analysis extended with local maximum entropy for fracture analysis. International Journal for Numerical Methods in Engineering.
Chen L & Borst R () Weak imposition of Dirichlet boundary conditions for analyses using Powell‐Sabin B‐splines. International Journal for Numerical Methods in Engineering.

Chapters

de Borst R (2024) Introduction to Experimental and Computational Mechanics of Materials, Comprehensive Mechanics of Materials (pp. 1-2). Elsevier
de Borst R (2024) Introduction to Experimental and Computational Mechanics of Materials, Comprehensive Mechanics of Materials, Volume 1-4 (pp. V2-1-V2-2).
de Borst R (2024) Element-Based Simulation Technologies, Comprehensive Mechanics of Materials, Volume 1-4 (pp. V2-103-V2-140).
Eraslan S, Gitman IM, Xu M, Askes H & de Borst R (2023) Representative Volume Element Size and Length Scale Identification in Generalised Magneto-Elasticity, Advanced Structured Materials (pp. 159-170). Springer International Publishing
de Borst R (2023) Element-Based Simulation Technologies, Reference Module in Materials Science and Materials Engineering Elsevier
de Borst R (2020) Nonlinear Computations, Encyclopedia of Continuum Mechanics (pp. 1834-1840). Springer Berlin Heidelberg
de Borst R (2018) Fractured or Fracturing, Fully or Partially Saturated Porous Media, Computational Methods for Fracture in Porous Media (pp. 13-34). Elsevier
de Borst R (2018) Interface Elements, Computational Methods for Fracture in Porous Media (pp. 47-67). Elsevier
de Borst R (2018) Fracture Mechanics, Computational Methods for Fracture in Porous Media (pp. 35-45). Elsevier
de Borst R (2018) Fracture Modeling Using Isogeometric Analysis, Computational Methods for Fracture in Porous Media (pp. 109-154). Elsevier
de Borst R (2018) The Extended Finite Element Method, Computational Methods for Fracture in Porous Media (pp. 69-107). Elsevier
de Borst R (2018) Phase-Field Methods for Fracture, Computational Methods for Fracture in Porous Media (pp. 155-184). Elsevier
de Borst R (2018) Finite Element Methods, Encyclopedia of Continuum Mechanics (pp. 1-8). Springer Berlin Heidelberg
de Borst R (2018) Nonlinear Computations, Encyclopedia of Continuum Mechanics (pp. 1-7). Springer Berlin Heidelberg
de Borst R (2018) Acknowledgment, Computational Methods for Fracture in Porous Media (pp. xv-xv). Elsevier
de Borst R (2018) Introduction, Computational Methods for Fracture in Porous Media (pp. 1-12). Elsevier View this article in WRRO
de Borst R & Verhoosel CV (2016) A Discussion on Gradient Damage and Phase-Field Models for Brittle Fracture, Advanced Structured Materials (pp. 263-277). Springer Singapore
de Borst R, May S & Vignollet J (2016) A Numerical Assessment of Phase-Field Models for Fracture, Materials with Internal Structure (pp. 17-28). Springer International Publishing
Remmers JJC, Verhoosel CV & de Borst R (2015) Isogeometric analysis for modelling of failure in advanced composite materials, Numerical Modelling of Failure in Advanced Composite Materials (pp. 309-329).
Remmers JJC, Verhoosel CV & de Borst R (2015) Isogeometric analysis for modelling of failure in advanced composite materials, Numerical Modelling of Failure in Advanced Composite Materials (pp. 309-329). Elsevier
de Borst R (2014) Atomistic-Continuum Couplings for Dynamic Fracture, Multiscale Modeling of Complex Materials (pp. 1-28). Springer Vienna
Huyghe JM, Kraaijeveld F, Remmers JJC & de Borst R (2013) Discontinuous Versus Continuous Chemical Potential Across a Crack in a Swelling Porous Medium, Computer Models in Biomechanics (pp. 317-334). Springer Netherlands
de Borst R (2013) Computational Methods for Generalised Continua, Generalized Continua from the Theory to Engineering Applications (pp. 361-388). Springer Vienna
Verhoosel CV, Scott MA, Borden MJ, de Borst R & Hughes TJR (2011) Isogeometric Failure Analysis, Recent Developments and Innovative Applications in Computational Mechanics (pp. 275-282). Springer Berlin Heidelberg
Akkerman I, Hulshoff SJ, van der Zee KG & de Borst R (2010) Variational Germano Approach for Multiscale Formulations, Multiscale Methods in Computational Mechanics (pp. 53-73). Springer Netherlands
Alfaro MVC, Suiker ASJ & de Borst R (2010) Multiscale Modelling of the Failure Behaviour of Fibre-Reinforced Laminates, Multiscale Methods in Computational Mechanics (pp. 233-259). Springer Netherlands
de Borst R (2009) Computational Multi-Scale Methods and Evolving Discontinuities, Computational Structural Engineering (pp. 3-9). Springer Netherlands
De Borst R & Sadowski T (2009) Preface In Sadowski T & De Borst R (Ed.), Lecture Notes on Composite Materials: Current Topics and Achievements (pp. v-vi). Springer Netherlands
Remmers JJC & de Borst R (2007) Numerical Modelling of Self Healing Mechanisms, Springer Series in Materials Science (pp. 365-380). Springer Netherlands
de Borst R (2006) Modern domain-based discretization methods for damage and fracture, Advances in Fracture Research (pp. 241-262). Springer Netherlands
Hulshoff SJ, Munts EJ & de Borst R (2006) A Comparison of Space-Time Variational-Multiscale Discretizations, Computational Fluid Dynamics 2004 (pp. 189-195). Springer Berlin Heidelberg
Réthoré J, de Borst R & Abellan M-A (2006) Instabilities and Discontinuities in Two-Phase Media, III European Conference on Computational Mechanics (pp. 11-11). Springer Netherlands
de Borst R, Abellan M-A & Réthoré J (2006) Instabilities and Discontinuities in Two-Phase Media, Computational Mechanics (pp. 173-190). Springer Netherlands
de Borst R (2005) Computational Mechanics of Failure in Composites at Multiple Scales, Multiscale Modelling of Damage and Fracture Processes in Composite Materials (pp. 63-101). Springer Vienna
de Borst R (2004) Solids and Structures: Introduction and Survey Wiley
de Borst R (2004) Damage, Material Instabilities, and Failure Wiley
Remmers JJC, de Borst R & Needleman A (2004) A Cohesive Segments Approach For Dynamic Crack Growth, Solid Mechanics and Its Applications (pp. 299-306). Springer Netherlands
Gutiérrez MA & de Borst R (2003) Stochastic Finite Element Methods, Comprehensive Structural Integrity (pp. 607-635). Elsevier
Wells GN, Remmers JJC, de Borst R & Sluys LJ (2003) A Large Strain Discontinuous Finite Element Approach to Laminated Composites, IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains (pp. 355-364). Springer Netherlands
Askes H, Wells GN & de Borst R (2003) Novel Discretization Concepts, Comprehensive Structural Integrity (pp. 377-425). Elsevier
Gutiérrez MA & de Borst R (2003) 3.11 - Stochastic Finite Element Methods, Comprehensive Structural Integrity: Nine Volume Set (pp. 607-635).
Askes H, Wells GN & de Borst R (2003) 3.07 - Novel Discretization Concepts, Comprehensive Structural Integrity: Nine Volume Set (pp. 377-425).
Wells GN, de Borst R & Sluys LJ (2002) Analysis of Cohesive Cracks Under Quasi-Static and Dynamic Loading, IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials (pp. 293-302). Springer Netherlands
De Borst R & Schipperen JHA (2002) Computational methods for delamination and fracture in composites, Continuum Damage Mechanics of Materials and Structures (pp. 325-352). Elsevier
Remmers JJC & de Borst R (2001) Numerical modelling: delamination buckling, Fibre Metal Laminates (pp. 281-297). Springer Netherlands
Borst R & Heeres O (2001) Computational Plasticity, Environmental Geomechanics (pp. 171-202). Springer Vienna
Gutiérrez MA & de Borst R (2001) Computational models for failure in cohesive-frictional materials with stochastically distributed imperfections, Continuous and Discontinuous Modelling of Cohesive-Frictional Materials (pp. 1-16). Springer Berlin Heidelberg
van Zijl GPAG, Rots JG & de Borst R (2001) The Physical Role of Crack Rate Dependence in the Long-term Behaviour of Cementitious Materials, Solid Mechanics and Its Applications (pp. 321-328). Springer Netherlands
Suiker ASJ, de Borst R & Chang CS (2000) Micromechanically based higher-order continuum models for granular materials, Constitutive Modelling of Granular Materials (pp. 249-274). Springer Berlin Heidelberg
Pijaudier-Cabot G & de Borst R (2000) Enriched damage models for continuum failure analyses, Solid Mechanics and Its Applications (pp. 355-366). Springer Netherlands
De Borst R, Groen AE & Heeres OM (1999) Performance of Enhanced Low-Order Elements for Plastic Continua, IUTAM Symposium on Discretization Methods in Structural Mechanics (pp. 315-322). Springer Netherlands
Heeres OM & Borst RD (1998) Implicit Integration of Non-Standard Plasticity Models, Application of Numerical Methods to Geotechnical Problems (pp. 483-492). Springer Vienna
De Borst R, Benallal A & Peerlings RHJ (1997) On Gradient-Enhanced Damage Theories, IUTAM Symposium on Mechanics of Granular and Porous Materials (pp. 215-226). Springer Netherlands
Groen AE & de Borst R (1996) A Fully Implicit Numerical Integration of a Three-dimensional Elastoplastic Model for Sand, Advances in Engineering Plasticity and its Applications (aepa 1996) (pp. 475-480). Elsevier
Geers MGD, Brekelmans WAM & Borst R (1994) Viscous Regularization of Strain-Localisation for Damaging Materials, DIANA Computational Mechanics ‘84 (pp. 127-138). Springer Netherlands
Feenstra PH, Borst R & Rots JG (1994) Analyses of Shear-Wall Panels With a Composite Plasticity Model, DIANA Computational Mechanics ‘84 (pp. 349-358). Springer Netherlands
Gutiérrez MA, Carmeliet J & Borst R (1994) Finite Element Reliability Methods Using DIANA, DIANA Computational Mechanics ‘84 (pp. 255-263). Springer Netherlands
Carmeliet J & Borst R (1994) Stochastic Approaches for Damage Evolution in Quasi-Brittle Materials, Probabilities and Materials (pp. 491-503). Springer Netherlands
Borst R, Carmeliet J, Pamin J & Sluys LJ (1994) Some Future Directions in Computational Failure Mechanics, DIANA Computational Mechanics ‘84 (pp. 1-12). Springer Netherlands
de Borst R, Feenstra PH, Mühlhaus H-B, Pamin J, Schellekens JCJ & Sluys LJ (1993) Damage Processes in Solids and Structures and their Numerical Computation, Topics in Applied Mechanics (pp. 89-95). Springer Netherlands
Sluys LJ & de Borst R (1993) Wave Propagation in Strain-Softening Plasticity, Modern Approaches to Plasticity (pp. 411-447). Elsevier
de Borst R & Muhlhaus H-B (1992) Finite Deformation Analysis of Inelastic Materials with Micro-Structure, Finite Inelastic Deformations — Theory and Applications (pp. 313-322). Springer Berlin Heidelberg
Schellekens JCJ & De Borst R (1991) Numerical Simulation of Free Edge Delamination in Graphite-Epoxy Laminates under Uniaxial Tension, Composite Structures (pp. 647-657). Springer Netherlands
Schellekens H & De Borst R (1990) Geometrically and Physically Non-Linear Interface Elements in Finite Element Analysis of Layered Composite Structures, Developments in the Science and Technology of Composite Materials (pp. 749-754). Springer Netherlands
de Borst R & Blaauwendraad J (1988) Stability and Spurious Kinematic Modes in Strain-Softening Concrete, Computational Mechanics ’88 (pp. 581-584). Springer Berlin Heidelberg
de Borst R () Solids and Structures: Introduction and Survey (pp. 1-4). Wiley
de Borst R & Verhoosel CV () Damage, Material Instabilities, and Failure (pp. 1-50). Wiley
Ingraffea AR & de Borst R () Computational Fracture Mechanics (pp. 1-26). Wiley
Verhoosel CV, Scott MA, Borden MJ, Hughes TJR & de Borst R () Discretization of Higher Order Gradient Damage Models Using Isogeometric Finite Elements, Damage Mechanics of Cementitious Materials and Structures (pp. 89-120). John Wiley & Sons, Inc.
de Borst R () Fundamentals of Discretization Methods Wiley
de Borst R () Computational Methods in Buckling and Instability Wiley
Benson DJ, de Borst R, Hughes TJR, Scott MA & Verhoosel CV () Isogeometric Analysis: A Calculus for Computational Mechanics, Computational Science, Engineering & Technology Series (pp. 1-17). Saxe-Coburg Publications

Conference proceedings papers

de Borst R, Reese J, Owen R & Pearce C (2020) Preface. Proceedings of the 6th European Conference on Computational Mechanics: Solids, Structures and Coupled Problems, ECCM 2018 and 7th European Conference on Computational Fluid Dynamics, ECFD 2018 (pp 7)
de Borst R (2018) Preface (pp xiii-xiii)
de Borst R (2016) Isogeometric Analysis of Deformation, Inelasticity and Fracture In Thin-Walled Structures. Journal of Physics : Conference Series, Vol. 734(B), 4 September 2016 - 9 September 2016. View this article in WRRO
de Borst R, Remmers JJC & Verhoosel CV (2014) Evolving Discontinuities and Cohesive Fracture. Procedia IUTAM, Vol. 10 (pp 125-137)
Horobin R (2013) Foreword (pp vii-vii)
de Borst R, Remmers J, Verhoosel C & Needleman A (2013) Mechanics of interfaces and evolving discontinuities (pp 29-34)
Irzal F, Remmers JJC, Verhoosel CV & de Borst R (2013) An Isogeometric Analysis Approach to Fluid Flow in a Fractured Porous Medium. Poromechanics V
Wyatt DJ (2013) Foreword. Journal of Song-Yuan Studies, Vol. 43(1) (pp ix-x)
de Borst R, Hughes TJR, Scott MA & Verhoosel CV (2011) ISOGEOMETRIC FAILURE ANALYSIS (pp 113-116)
Irzal F, Remmers JJC, Huyghe JM, Borst RD & Ito K (2010) A two-scale approach for propagating cracks in a fluid-saturated porous material. IOP Conference Series: Materials Science and Engineering, Vol. 10 (pp 012044-012044)
Pizzocolo F, Huyghe JM, J.c. Remmers J, Ito K & De Borst R (2010) A mixed hybrid formulation for 2D poroelasticity with discontinuity. 18th European Conference on Fracture: Fracture of Materials and Structures from Micro to Macro Scale
de Borst R, Rethore J & Abellan M-A (2010) A two-scale approach for fluid flow in fracturing porous media. COMPUTATIONAL MODELLING OF CONCRETE STRUCTURES (pp 451-460)
Aubertin P, Réthoré J & De Borst R (2009) Dynamic crack propagation from the macro to the micro-scale in a partition of unity context. 12th International Conference on Fracture 2009, ICF-12, Vol. 6 (pp 4513-4520)
Verhoosel CV, Remmers JJC, De Borst R & Gutiérrez MA (2009) The simulation of coupled failure mechanisms in laminates using discontinuous solid-like shell elements. 12th International Conference on Fracture 2009, ICF-12, Vol. 7 (pp 5642-5651)
Kraaijeveld F, Huyghe JM, Dittmar R, Remmers JJC, Ito K & De Borst R (2009) Cracks in the degenerating disc: Microscopic observation and partition of unity finite element simulation. Poromechanics IV - 4th Biot Conference on Poromechanics (pp 89-93)
Valance S, de Borst R, Réthoré J & Coret M (2009) A Finite Element Method for Level Sets (pp 95-106)
van der Zee KG, van Brummelen EH & de Borst R (2008) Goal-oriented error estimation for Stokes flow interacting with a flexible channel. International Journal for Numerical Methods in Fluids, Vol. 56(8) (pp 1551-1557)
de Borst R & Remmers JJC (2008) Computational Methods for Debonding in Composites (pp 1-25)
Remmers JJC, de Borst R & Needleman A (2007) An Evaluation of the Accuracy of Discontinuous Finite Elements in Explicit Dynamic Calculations (pp 303-322)
van Brummelen EH & de Borst R (2007) Conservation under Incompatibility for Fluid-Solid-Interaction Problems: the NPCL Method (pp 413-432)
Réthore J, de Borst R & Abellan M-A (2007) A discrete model for the propagation of discontinuities in a fluid-saturated medium (pp 323-342)
De Borst R, Réthoré J & Abellan MA (2007) Two-scale approaches for fracture in porous media. Computational Plasticity - Fundamentals and Applications, COMPLAS IX(PART 1) (pp 74-77)
Verhoosel CV, Gutiérrez MA & De Borst R (2007) Multi-scale modelling of fracture in piezoelectric ceramics. Computational Plasticity - Fundamentals and Applications, COMPLAS IX(PART 1) (pp 384-387)
de Borst R & Abellan M-A (2007) Dispersion and Localisation in a Strain–Softening Two–Phase Medium (pp 55-66)
De Borst R & Abellan MA (2006) Dispersion and internal length scales in strain-softening two-phase media. Computational Modelling of Concrete Structures - Proceedings of EURO-C 2006 (pp 549-556)
de Borst R (2006) NUMERICAL METHODS FOR DEBONDING IN COMPOSITE MATERIALSA Comparison of Approaches (pp 13-22)
Borst R (2006) Modern Domain-based Discretization Methods for Damage and Fracture. International Journal of Fracture, Vol. 138(1-4) (pp 241-262)
De Borst R & Abellan MA (2005) Dispersion and localisation in a strain-softening multiphase medium. Computational Plasticity: Fundamentals and Applications - Proceedings of the 8th International Conference on Computational Plasticity, COMPLAS VIII(PART 1) (pp 43-46)
Remmers JJC, De Borst R & Needleman A (2005) Simulation of fracture in heterogeneous materials with the cohesive segments method. Computational Plasticity: Fundamentals and Applications - Proceedings of the 8th International Conference on Computational Plasticity, COMPLAS VIII(PART 1) (pp 573-576)
Remmers JJC, De Borst R & Needleman A (2005) The cohesive segments method for the simulation of fracture. 11th International Conference on Fracture 2005, ICF11, Vol. 2 (pp 1259-1264)
Abellan MA, De Borst R & Bergheau JM (2005) Analysis of discontinuities in fluid-saturated media. 11th International Conference on Fracture 2005, ICF11, Vol. 3 (pp 2164-2169)
De Borst R & Remmers JJC (2005) Computational models for delamination fracture. 11th International Conference on Fracture 2005, ICF11, Vol. 1 (pp 694-699)
Remmers J & de Borst R (2004) Application of the Discontinuous Solid-Like Shell Element to Delamination. 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference
Chung DB, Gutierrez M, Remmers J & Borst R (2004) Stochastic Finite Element Modelling of Fibre-Metal Laminates. 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference
Chung DB, Gutierrez MA & De Borst R (2004) The development of an object-oriented stochastic finite element package for the analysis of fibre-metal laminates. ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering
Munts E, Hulshoff S & de Borst R (2004) A Space-Time Variational Multiscale Discretization for LES. 34th AIAA Fluid Dynamics Conference and Exhibit
Borst RD, Gutiérrez MA, Wells GN, Remmers JJC & Askes H (2004) Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis. International Journal for Numerical Methods in Engineering, Vol. 60(1) (pp 289-315)
De Borst R (2003) PREFACE. Revue Française de Génie Civil, Vol. 7(5) (pp 539-541)
Hagenbeek M, Remmers J & de Borst R (2003) Numerical Modelling of Fibre Metal Laminates Under Thermomechanical Loading. 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Hagenbeek M, Remmers JJC & De Borst R (2003) Numerical modelling of fibre metal laminates under thermo-mechanical loading. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Vol. 4 (pp 2496-2504)
de Borst R, Remmers JJC, Needleman A & Abellan MA (2003) Keynote paper: Discrete vs smeared crack models for concrete fracture: bridging the gap. COMPUTATIONAL MODELLING OF CONCRETE STRUCTURES (pp 3-17)
Matsuda A, Watanabe O & de Borst R (2003) A finite element formulation for the stress rate in hyperelasticity based on the Updated Lagrangian approach and its applicability to vibration control devices. CONSTITUTIVE MODELS FOR RUBBER III (pp 169-176)
Wells GN, de Borst R & Sluys LJ (2001) An enhanced finite element method for analysing failure in elasto-plastic solids. TRENDS IN COMPUTATIONAL STRUCTURAL MECHANICS (pp 397-406)
Pamin J, Askes H & de Borst R (2001) Gradient regularization and EFG discretization of the plastic flow theory. TRENDS IN COMPUTATIONAL STRUCTURAL MECHANICS (pp 179-188)
Pijaudier-Cabot G, de Borst R & Mazars J (2001) Continuous damage models for fracture of concrete. FRACTURE MECHANICS OF CONCRETE STRUCTURES, VOLS 1 AND 2 (pp 471-482)
Kuhl E, Hulshoff S & de Borst R (2001) A comparison of coupled and partitioned solution strategies for fluid-structure interaction phenomena. TRENDS IN COMPUTATIONAL STRUCTURAL MECHANICS (pp 670-679)
Heeres OM & de Borst R (2000) Implicit integration of hypoplastic models (pp 457-470)
Remmers JJC & De Borst R (2000) Delamination buckling of fibre-metal laminates. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
De Borst R (2000) Theoretical and computational issues in localisation and failure. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Peerlings RHJ, Brekelmans WAM, De Borst R & Geers MGD (2000) Enhanced damage modelling of quasi-brittle and fatigue fracture - Computational aspects. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Heeres OM & De Borst R (2000) Implicit integration of standard and non-standard elasto-plastic models. European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Gutierrez MA & de Borst R (2000) Stochastic boundary constraints in finite element reliability analysis of non-linear solids. APPLICATIONS OF STATISTICS AND PROBABILITY, VOLS 1 AND 2 (pp 51-56)
Schipperen JHA & De Borst R (2000) Numerical modelling of matrix cracking in fibre reinforced laminated plastics. ADVANCES IN MECHANICAL BEHAVIOUR, PLASTICITY AND DAMAGE, VOLS 1 AND 2, PROCEEDINGS (pp 735-740)
Suiker ASJ & de Borst R (1999) Critical response of a granular railway track under high train velocities. Numerical models in geomechanics. Proceedings of the 7th international symposium, Graz, September 1999. (pp 297-302)
Gutierrez MA & de Borst R (1999) On the necessity of stochastic material descriptions in the computational analysis of soils. Numerical models in geomechanics. Proceedings of the 7th international symposium, Graz, September 1999. (pp 109-113)
de Borst R (1999) Embedded discontinuity approaches for shear band analysis. Numerical models in geomechanics. Proceedings of the 7th international symposium, Graz, September 1999. (pp 103-108)
Heeres OM & de Borst R (1999) Robust modeling of cyclic soil behaviour using a subloading model. Numerical models in geomechanics. Proceedings of the 7th international symposium, Graz, September 1999. (pp 183-188)
Gutierrez MA & de Borst R (1998) Computational analysis of softening solids with random material properties. STRUCTURAL SAFETY AND RELIABILITY, VOLS. 1-3 (pp 959-963)
van Zijl GPAG, de Borst R & Rots JG (1998) FE analysis of the interaction between moisture migration, creep, shrinkage and cracking. COMPUTATIONAL MODELLING OF CONCRETE STRUCTURES, VOLS 1 AND 2 (pp 505-511)
de Borst R, Geers MGD, Kuhl E & Peerlings RHJ (1998) Enhanced damage models for concrete fracture. COMPUTATIONAL MODELLING OF CONCRETE STRUCTURES, VOLS 1 AND 2 (pp 231-248)
Gutierrez MA & de Borst R (1998) Computational analysis of the influence of stochastic heterogeneities in concrete fracture using a gradient-enhanced damage model. COMPUTATIONAL MODELLING OF CONCRETE STRUCTURES, VOLS 1 AND 2 (pp 337-345)
Kuhl E, Ramm E & de Borst R (1998) Anisotropic gradient damage with the microplane model. COMPUTATIONAL MODELLING OF CONCRETE STRUCTURES, VOLS 1 AND 2 (pp 103-112)
Groen AE & de Borst R (1997) Failure in plane strain compression using a non-associative cosserat continuum. DEFORMATION AND PROGRESSIVE FAILURE IN GEOMECHANICS - IS-NAGOYA'97 (pp 39-44)
deBorst R, Wang WM, Geers MGD & Sluys LJ (1997) Material instabilities and internal length scales. COMPUTATIONAL PLASTICITY: FUNDAMENTALS AND APPLICATIONS, PTS 1 AND 2 (pp 56-71)
de Borst R & Groen AE (1997) Efficient and robust low-order elements for 2D- and 3D-soil plasticity. COMPUTER METHODS AND ADVANCES IN GEOMECHANICS, VOL 1 (pp 95-104)
de Borst R, Benallal A & Heeres OM (1996) Gradient-enhanced damage approach to fracture. Journal De Physique. IV : JP, Vol. 6(6)
de Borst R & van den Boogaard AH (1995) Numerical simulation of deformation and cracking in maturing concrete. Proceedings of Engineering Mechanics, Vol. 2 (pp 966-969)
Feenstra PH & de Borst R (1995) Constitutive model for reinforced concrete based on stress decomposition. Proceedings of Engineering Mechanics, Vol. 1 (pp 643-646)
Carmeliet J & de Borst R (1995) Stochastic approaches for damage evolution in standard and non-standard continua. Proceedings of Engineering Mechanics, Vol. 2 (pp 706-709)
Schellekens JCJ & de Borst R (1993) Nonlinear fracture mechanics of mode-I and mixed-mode free edge delamination in carbon-epoxy composites. Proceedings of the International Conference on Advanced Composite Materials (pp 359-366)
Bicanic N, de Borst R, Gerstle W, Murray DW, Pijaudier-Cabot G, Saouma V, Willam KJ & Yamazaki J (1993) Computational aspects (pp 367-489)
Sluys LJ & De Borst R (1992) Mesh-sensitivity analysis of an impact test on a double-notched specimen. 33rd U.S. Symposium on Rock Mechanics, USRMS 1992 (pp 707-716)
de Borst R, Muehlaus HB & Pamin J (1992) Computational gradient plasticity. Proceedings of Engineering Mechanics (pp 776-779)
Sluys LJ & de Borst R (1992) On the role of dispersive waves in strain-softening media. Proceedings of Engineering Mechanics (pp 624-627)
Sluys LJ & De Borst R (1991) Mesh-sensitivity analysis of an impact test on a double-notched specimen. U.S. Symposium on Rock Mechanics (pp 707)
DEBORST R & MUHLHAUS HB (1991) CONTINUUM MODELS FOR DISCONTINUOUS MEDIA. FRACTURE PROCESSES IN CONCRETE, ROCK AND CERAMICS, VOLS 1 AND 2, Vol. 13 (pp 601-618)
de Borst R, Kusters GMA, Nauta P & de Witte FC (1984) DIANA, A THREE-DIMENSIONAL, NONLINEAR FINITE ELEMENT PACKAGE ON A MICRO-COMPUTER. (pp 435-446)
de Borst R & Nauta P (1984) SMEARED CRACK ANALYSIS OF REINFORCED CONCRETE BEAMS AND SLABS FAILING IN SHEAR. (pp 261-273)
de Borst R & Vermeer PA (1982) FINITE ELEMENT ANALYSIS OF STATIC PENETRATION TESTS. (pp 457-462)
De Borst R (1982) CALCULATION OF COLLAPSE LOADS USING HIGHER ORDER ELEMENTS. (pp 503-513)
Askes H, Pamin J & de Borst R () An EFG Implementation of a Gradient-Enhanced Damage Model. Computational Techniques for Materials, Composites and Composite Structures, 6 September 2000 - 8 September 2000.

Preprints

Hansen-Dörr AC, Dammaß F, de Borst R & Kästner M (2019) Phase-Field Modeling of Crack Branching and Deflection in Heterogeneous Media, arXiv.
Hansen-Dörr AC, de Borst R, Hennig P & Kästner M (2019) Phase-Field Modelling of Interface Failure in Brittle Materials, arXiv.

Research group

Computational Mechanics & Design

Geotechnical Engineering

Grants

View all research projects

Past Grants

FRAMED

U-funded research into fracture processes across a variety of scales, materials and processes.

Structural performance of 3D concrete printed composites

In this project, we will develop and validate a novel design-for-manufacturing paradigm, where closed-loop iteration across all scales of the concrete being 3D-printed, from the fresh to the hardened state, will be combined with an innovative approach to reinforcement design.

PoroFrac - A high-fidelity isogeometric simulation methodology for fracture in porous media

This research examines the interactions between microorganisms which can biodegrade ETBE in groundwater. The aim of the project is to explore the functional role of these microorganisms in biodegradation processes, such as co-metabolism of ETBE with other ether oxygenate compounds and hydrocarbons in European groundwater.

Potential PhD offerings: Unfortunately I am not seeking any PhD Students at this time, however please contact me if you are interested in doing a project in my area of research.

School of Mechanical, Aerospace and Civil Engineering

School of Mechanical, Aerospace and Civil Engineering

Professor René de Borst

Books

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