Edit Profile (opens in new tab) de Borst, René Co-Author Distance Author ID: de-borst.rene Published as: de Borst, R.; de Borst, René; De Borst, R.; De Borst, René; de Borst, Rene; De Borst, Rene more...less Homepage: https://www.sheffield.ac.uk/civil/staff/academic/deborst External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 171 Publications since 1987, including 2 Books 6 Contributions as Editor Co-Authors: 95 Co-Authors with 164 Joint Publications 2,292 Co-Co-Authors all top 5 Co-Authors 12 single-authored 16 Remmers, Joris J. C. 15 Sluys, Lambertus Johannes 15 Van Brummelen, Harald 13 Verhoosel, Clemens V. 12 Réthoré, Julien 11 Pamin, Jerzy 10 Abellan, Marie-Angèle 10 Brekelmans, W. A. M. 10 Peerlings, Ron H. J. 9 Geers, Marc G. D. 9 Suiker, Akke S. J. 8 Gutiérrez, Miguel A. 8 Hulshoff, Steven J. 7 Wells, Garth N. 6 Heeres, Otto M. 5 Chen, Lin 5 Feenstra, Peter H. 5 Hageman, Tim 5 May, Stefan 5 Michler, Christian 5 Schellekens, J. C. J. 5 Vignollet, Julien 4 Askes, Harm 4 Hosseini, Saman 4 Needleman, Alan 4 Vuik, Cornelis 3 Akkerman, Ido 3 Aubertin, Pascal 3 Ganghoffer, Jean-François 3 Groen, Arend E. 3 Hughes, Thomas J. R. 3 Mühlhaus, Hans-Bernd 3 Rots, Jan G. 2 Arbocz, Johann 2 Chang, Ching-Sen 2 Cid Alfaro, M. V. 2 Coret, Michel 2 Crisfield, Mike A. 2 de Vree, J. H. P. 2 Esveld, Coenraad 2 Farhat, Charbel H. 2 Fish, Jacob 2 Harari, Isaac 2 Irzal, Faisal 2 Kästner, Markus 2 Kuhl, Ellen 2 Le Tallec, Patrick 2 Munts, E. A. 2 Perić, Djordje 2 Ramm, Ekkehard 2 Scott, Michael A. 2 Valance, Stéphane 2 van den Bogert, P. A. J. 2 van der Giessen, Erik 2 van der Veen, Hilda 2 van Zijl, G. P. A. G. 1 Baker, Graham 1 Belytschko, Ted Bohdan 1 Bicanic, Nenad 1 Blaauwendraad, Johan 1 Borino, Guido 1 Brillard, Alain 1 Carmeliet, Jan 1 Cauvern, M. 1 Chung, Doo Bo 1 Combescure, Alain 1 Darve, Félix 1 Fathi, Farshid 1 Ghaffari Motlagh, Yousef 1 Hansen-Dörr, Arne Claus 1 Hashagen, Frank 1 Hennig, Paul 1 Huyghe, Jacques M. 1 Jimack, Peter K. 1 Lewis, Mervyn R. 1 Lourenço, Paulo B. 1 Metrikine, Andrei V. 1 Metsch, Philipp 1 Peeters, Paul P. J. M. 1 Sadowski, Tomasz 1 Schrefler, Bernhard A. 1 Smith, Ian M. 1 Spee, I. 1 Stein, Erwin 1 Sture, Stein 1 van den Boogaard, A. H. 1 van der Zee, Kris G. 1 van Opstal, T. M. 1 van Rietbergen, Bert 1 van Vroonhoven, Jos C. W. 1 van Zwieten, G. J. 1 Weihe, Stefan 1 Whittle, Andrew J. 1 Wolfert, A. R. M. 1 Zhang, Hongwu all top 5 Serials 39 International Journal for Numerical Methods in Engineering 25 Computer Methods in Applied Mechanics and Engineering 15 International Journal of Solids and Structures 9 European Journal of Mechanics. A. Solids 7 Computational Mechanics 5 Computers and Structures 5 International Journal for Numerical and Analytical Methods in Geomechanics 5 Archive of Applied Mechanics 4 Journal of Computational Physics 3 Acta Mechanica 3 Archives of Mechanics 3 International Journal for Numerical Methods in Fluids 3 European Journal of Mechanics. A. Solids 3 SIAM Journal on Scientific Computing 3 Engineering Computations 2 Computers & Mathematics with Applications 2 Communications in Applied Numerical Methods 2 Communications in Numerical Methods in Engineering 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computers and Fluids 1 International Journal of Engineering Science 1 Journal of the Mechanics and Physics of Solids 1 Wave Motion 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Revue Européenne des Éléments Finis 1 Engineering Computations 1 Computational Geosciences 1 Computer Assisted Mechanics and Engineering Sciences 1 International Journal of Fracture 1 Solid Mechanics and Its Applications 1 Lecture Notes in Applied and Computational Mechanics 1 Revue Européenne de Mécanique Numérique 1 IUTAM Bookseries 1 Wiley Series in Computational Mechanics all top 5 Fields 158 Mechanics of deformable solids (74-XX) 26 Numerical analysis (65-XX) 25 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 150 Publications have been cited 3,214 times in 2,000 Documents Cited by ▼ Year ▼ Gradient enhanced damage for quasi-brittle materials. Zbl 0882.73057 Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; de Vree, J. H. P. 267 1996 Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019 De Borst, René; Mühlhaus, Hans-Bernd 179 1992 A critical comparison of nonlocal and gradient-enhanced softening continua. Zbl 1032.74008 Peerlings, R. H. J.; Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M. 136 2001 A phase-field model for cohesive fracture. Zbl 1352.74029 Verhoosel, Clemens V.; De Borst, René 109 2013 Nonlinear finite element analysis of solids and structures. 2nd ed. Zbl 1300.74002 de Borst, René; Crisfield, Mike A.; Remmers, Joris J.; Verhoosel, Clemens V. 102 2012 Strain-based transient-gradient damage model for failure analyses. Zbl 0938.74006 Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.; Peerlings, R. H. J. 82 1998 On the numerical integration of interface elements. Zbl 0825.73840 Schellekens, J. C. J.; de Borst, R. 79 1993 An isogeometric analysis approach to gradient damage models. Zbl 1235.74320 Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René 77 2011 A cohesive segments method for the simulation of crack growth. Zbl 1038.74679 Remmers, J. J. C.; de Borst, R.; Needleman, A. 72 2003 Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001 65 2004 An isogeometric approach to cohesive zone modeling. Zbl 1242.74169 Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R. 60 2011 Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347 de Borst, René; Verhoosel, Clemens V. 59 2016 Computation of post-bifurcation and post-failure behavior of strain- softening solids. Zbl 0603.73046 de Borst, R. 55 1987 An isogeometric solid-like shell element for nonlinear analysis. Zbl 1352.74362 Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; De Borst, René 53 2013 A monolithic approach to fluid-structure interaction. Zbl 1053.76042 Michler, C.; Hulshoff, S. J.; van Brummelen, E. H.; de Borst, R. 52 2004 Some novel developments in finite element procedures for gradient-dependent plasticity. Zbl 0885.73074 de Borst, René; Pamin, Jerzy 51 1996 On the nonnormality of subiteration for a fluid-structure-interaction problem. Zbl 1136.65334 van Brummelen, E. H.; de Borst, R. 51 2005 An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033 Michler, C.; van Brummelen, E. H.; de Borst, R. 47 2005 A consistent geometrically nonlinear approach for delamination. Zbl 1086.74043 Wells, G. N.; de Borst, R.; Sluys, L. J. 46 2002 A numerical assessment of phase-field models for brittle and cohesive fracture: \(\Gamma\)-convergence and stress oscillations. Zbl 1406.74599 May, Stefan; Vignollet, Julien; de Borst, René 46 2015 Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone. Zbl 1423.74929 Verhoosel, C. V.; van Zwieten, G. J.; van Rietbergen, B.; de Borst, R. 45 2015 A generalisation of \(J_ 2\)-flow theory for polar continua. Zbl 0777.73014 de Borst, René 41 1993 Computational homogenization for adhesive and cohesive failure in quasi-brittle solids. Zbl 1197.74139 Verhoosel, Clemens V.; Remmers, Joris J. C.; Gutiérrez, Miguel A.; de Borst, René 41 2010 Some observations on localisation in non-local and gradient damage models. Zbl 0891.73055 Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; de Vree, J. H. P.; Spee, I. 40 1996 A two-scale approach for fluid flow in fractured porous media. Zbl 1194.76139 Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle 39 2007 Viscoplasticity for instabilities due to strain softening and strain-rate softening. Zbl 0974.74511 Wang, W. M.; Sluys, L. J.; de Borst, R. 37 1997 Micro-mechanical modelling of granular material. I: Derivation of a second-gradient micro-polar constitutive theory. II: Plane wave propagation in infinite media. Zbl 1135.74307 Suiker, A. S. J.; de Borst, R.; Chang, C. S. 37 2001 An isogeometric continuum shell element for non-linear analysis. Zbl 1296.74057 Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René 37 2014 On coupled gradient-dependent plasticity and damage theories with a view to localization analysis. Zbl 0968.74007 de Borst, René; Pamin, Jerzy; Geers, Marc G. D. 36 1999 Wave propagation, localization and dispersion in a gradient-dependent medium. Zbl 0771.73017 Sluys, L. J.; de Borst, R.; Mühlhaus, H.-B. 34 1993 A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks. Zbl 1154.76053 Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle 33 2008 An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617 Kuhl, E.; Hulshoff, S.; de Borst, R. 29 2003 Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models. Zbl 0984.74034 Suiker, A. S. J.; Metrikine, A. V.; de Borst, R. 29 2001 Discrete \(vs\) smeared crack models for concrete fracture: bridging the gap. Zbl 1086.74044 de Borst, René; Remmers, Joris J. C.; Needleman, Alan; Abellan, Marie-Angèle 29 2004 A numerical approach for arbitrary cracks in a fluid-saturated medium. Zbl 1168.74447 de Borst, René; Réthoré, Julien; Abellan, Marie-Angèle 28 2006 An anisotropic gradient damage model for quasi-brittle materials. Zbl 0992.74060 Kuhl, Ellen; Ramm, Ekkehard; de Borst, René 28 2000 On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials. Zbl 0840.73047 de Borst, R.; Pamin, J.; Peerlings, R. H. J.; Sluys, L. J. 28 1995 Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453 Kästner, Markus; Metsch, Philipp; de Borst, René 27 2016 The relevance of conservation for stability and accuracy of numerical methods for fluid-structure interaction. Zbl 1181.74156 Michler, C.; van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R. 26 2003 Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis. Zbl 1060.74620 de Borst, René; Gutiérrez, Miguel A.; Wells, Garth N.; Remmers, Joris J. C.; Askes, Harm 26 2004 A non-linear finite element approach for the analysis of mode-I free edge delamination in composites. Zbl 0775.73292 Schellekens, J. C. J.; de Borst, R. 25 1993 Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints. Zbl 1230.74199 Van Der Zee, K. G.; Van Brummelen, E. H.; Akkerman, I.; De Borst, R. 24 2011 The simulation of dynamic crack propagation using the cohesive segments method. Zbl 1162.74438 Remmers, Joris J. C.; de Borst, René; Needleman, Alan 23 2008 A plane stress softening plasticity model for orthotropic materials. Zbl 0897.73015 Lourenço, Paulo B.; de Borst, René; Rots, Jan G. 22 1997 Localisation issues in local and nonlocal continuum approaches to fracture. Zbl 1041.74006 Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; Geers, M. G. D. 22 2002 Gradient-enhanced damage modelling of high-cycle fatigue. Zbl 0995.74056 Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.; Geers, M. G. D. 22 2000 Phase-field modelling of interface failure in brittle materials. Zbl 1440.74048 Hansen-Dörr, Arne Claus; de Borst, René; Hennig, Paul; Kästner, Markus 22 2019 A finite-element/boundary-element method for large-displacement fluid-structure interaction. Zbl 1311.76075 van Opstal, T. M.; van Brummelen, E. H.; de Borst, R.; Lewis, M. R. 21 2012 Studies in anisotropic plasticity with reference to the Hill criterion. Zbl 0712.73025 de Borst, René; Feenstra, Peter H. 21 1990 Dispersion analysis and element-free Galerkin solutions of second- and fourth-order gradient-enhanced damage models. Zbl 1009.74082 Askes, Harm; Pamin, Jerzy; de Borst, René 20 2000 A solid-like shell element allowing for arbitrary delaminations. Zbl 1032.74682 Remmers, Joris J. C.; Wells, Garth N.; de Borst, René 19 2003 Energy conservation of atomistic/continuum coupling. Zbl 1183.74011 Aubertin, Pascal; Réthoré, Julien; de Borst, René 19 2009 Space/time multigrid for a fluid-structure-interaction problem. Zbl 1148.74046 van Brummelen, E. H.; van der Zee, K. G.; de Borst, R. 18 2008 Phenomenological nonlocal approaches based on implicit gradient-enhanced damage. Zbl 0993.74006 Geers, M. G. D.; Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R. 15 2000 Error-amplification analysis of subiteration-preconditioned GMRES for fluid-structure interaction. Zbl 1176.74217 Michler, C.; Van Brummelen, E. H.; De Borst, R. 15 2006 The zero-normal-stress condition in plane-stress and shell elastoplasticity. Zbl 0714.73021 De Borst, René 15 1991 A comparison between the Perzyna viscoplastic model and the consistency viscoplastic model. Zbl 1005.74013 Heeres, Otto M.; Suiker, Akke S. J.; de Borst, René 14 2002 Conditions for locking-free elasto-plastic analyses in the element-free Galerkin method. Zbl 0962.74076 Askes, Harm; de Borst, René; Heeres, Otto 14 1999 Goal-oriented error estimation and adaptivity for free-boundary problems: the domain-map linearization approach. Zbl 1210.35300 van der Zee, K. G.; van Brummelen, E. H.; De Borst, R. 14 2010 Validation and internal length scale determination for a gradient damage model: Application to short glass-fibre-reinforced polypropylene. Zbl 0963.74502 Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.; Peerlings, R. H. J. 13 1999 Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631 Pamin, Jerzy; Askes, Harm; de Borst, René 13 2003 Goal-oriented error estimation and adaptivity for free-boundary problems: the shape-linearization approach. Zbl 1209.35159 van der Zee, K. G.; van Brummelen, E. H.; De Borst, R. 13 2010 A large deformation formulation for fluid flow in a progressively fracturing porous material. Zbl 1352.76113 Irzal, Faisal; Remmers, Joris J. C.; Huyghe, Jacques M.; de Borst, René 13 2013 An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems. Zbl 1352.74366 Irzal, F.; Remmers, J. J. C.; Verhoosel, C. V.; De Borst, R. 12 2014 Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction. Zbl 1352.74405 May, Stefan; Vignollet, Julien; De Borst, René 12 2016 Numerical assessment of delamination in fibre metal laminates. Zbl 0965.74066 Hashagen, Frank; de Borst, René 11 2000 A discrete model for the dynamic propagation of shear bands in a fluid-saturated medium. Zbl 1112.74055 Réthoré, Julien; De Borst, René; Abellan, Marie-Angèle 11 2007 Bifurcations in finite element models with a non-associated flow law. Zbl 0626.73118 de Borst, R. 11 1988 A new framework in nonlocal mechanics. Zbl 1213.74278 Ganghoffer, J. F.; De Borst, R. 11 2000 An investigation of interface-GMRES(R) for fluid-structure interaction problems with flutter and divergence. Zbl 1398.74086 Michler, Christian; van Brummelen, Harald; de Borst, René 11 2011 Wave propagation and localisation in a softening two-phase medium. Zbl 1118.74013 Abellan, Marie-Angèle; de Borst, René 10 2006 Propagation of delamination in composite materials with isogeometric continuum shell elements. Zbl 1352.74174 Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René 10 2015 On the behaviour of rubberlike materials in compression and shear. Zbl 0800.73035 van den Bogert, P. A. J.; de Borst, R. 9 1994 Energy conservation under incompatibility for fluid-structure interaction problems. Zbl 1054.74567 van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R. 9 2003 Smeared cracking, plasticity, creep, and thermal loading - A unified approach. Zbl 0607.73109 de Borst, R. 9 1987 Integration of plasticity equations for singular yield functions. Zbl 0614.73027 de Borst, R. 9 1987 A numerical model for the cyclic deterioration of railway tracks. Zbl 1062.74601 Suiker, Akke S. J.; de Borst, René 8 2003 The partition-of-unity method for linear diffusion and convection problems: Accuracy, stabilization and multiscale interpretation. Zbl 1032.76599 Munts, E. A.; Hulshoff, S. J.; de Borst, R. 8 2003 Numerical analysis of localization using a viscoplastic regularization: Influence of stochastic material defects. Zbl 0927.74068 Gutiérrez, M. A.; de Borst, R. 8 1999 A modal-based multiscale method for large eddy simulation. Zbl 1120.76031 Munts, E. A.; Hulshoff, S. J.; de Borst, R. 8 2007 The incorporation of gradient damage models in shell elements. Zbl 1352.74273 Hosseini, Saman; Remmers, Joris J. C.; De Borst, René 8 2014 A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257 Aubertin, Pascal; Réthoré, Julien; de Borst, René 8 2010 A \(p\)-adaptive scheme for overcoming volumetric locking during plastic flow. Zbl 1047.74069 Wells, G. N.; Sluys, L. J.; de Borst, R. 7 2002 A reappraisal of nonlocal mechanics. Zbl 0932.74062 Ganghoffer, J. F.; Sluys, L. J.; de Borst, R. 7 1999 Failure in plain and reinforced concrete – an analysis of crack width and crack spacing. Zbl 0900.73611 Sluys, L. J.; de Borst, R. 7 1996 A composite plasticity model for concrete. Zbl 0900.73455 Feenstra, Peter H.; de Borst, René 7 1996 Gradient plasticity in numerical simulation of concrete cracking. Zbl 0858.73069 de Borst, René; Pamin, Jerzy 7 1996 Computational issues in gradient plasticity. Zbl 0900.73852 de Borst, R.; Pamin, J.; Sluys, L. J. 7 1995 Some observations on embedded discontinuity models. Zbl 0997.74061 de Borst, R.; Wells, G. N.; Sluys, L. J. 7 2001 The role of the Bézier extraction operator for T-splines of arbitrary degree: linear dependencies, partition of unity property, nesting behaviour and local refinement. Zbl 1352.65041 May, Stefan; Vignollet, Julien; de Borst, René 7 2015 Combination of fracture and damage mechanics for numerical failure analysis. Zbl 0949.74061 van Vroonhoven, J. C. W.; de Borst, R. 6 1999 Classification of smeared crack models based on material and structural properties. Zbl 0932.74005 Weihe, S.; Kröplin, B.; de Borst, R. 6 1998 Interaction between material length scale and imperfection size for localisation phenomena in viscoplastic media. Zbl 0864.73022 Wang, W. M.; Sluys, L. J.; de Borst, R. 6 1996 Enhanced continua and discrete lattices for modelling granular assemblies. Zbl 1152.74307 Suiker, Akke S. J.; de Borst, René 6 2005 Towards efficient and robust elements for 3D soil plasticity. Zbl 0953.74062 de Borst, R.; Groen, A. E. 6 1999 A unified approach to the implicit integration of standard, non-standard and viscous plasticity models. Zbl 1019.74004 de Borst, René; Heeres, Otto M. 6 2002 Discretization influence in strain-softening problems. Zbl 0824.73080 Sluys, L. J.; Cauvern, M.; de Borst, R. 6 1995 Some observations on element performance in isochoric and dilatant plastic flow. Zbl 0836.73065 de Borst, René; Groen, Arend E. 6 1995 Adaptive refinement of hierarchical T-splines. Zbl 1440.65193 Chen, L.; de Borst, R. 6 2018 On the numerical integration of isogeometric interface elements. Zbl 1352.65087 Vignollet, Julien; May, Stefan; de Borst, René 6 2015 A time-based arc-length like method to remove step size effects during fracture propagation. Zbl 07757770 Hageman, Tim; de Borst, René 1 2022 The use of Powell-Sabin B-splines in a higher-order phase-field model for crack kinking. Zbl 07360497 Chen, Lin; Li, Bin; de Borst, René 5 2021 Phase-field modelling of cohesive fracture. Zbl 1481.74051 Chen, Lin; de Borst, René 5 2021 A refined two-scale model for newtonian and non-Newtonian fluids in fractured poroelastic media. Zbl 07513814 Hageman, Tim; de Borst, René 4 2021 Sub-grid models for multiphase fluid flow inside fractures in poroelastic media. Zbl 1440.76095 Hageman, Tim; de Borst, René 2 2020 Phase-field modelling of interface failure in brittle materials. Zbl 1440.74048 Hansen-Dörr, Arne Claus; de Borst, René; Hennig, Paul; Kästner, Markus 22 2019 Adaptive refinement of hierarchical T-splines. Zbl 1440.65193 Chen, L.; de Borst, R. 6 2018 Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347 de Borst, René; Verhoosel, Clemens V. 59 2016 Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453 Kästner, Markus; Metsch, Philipp; de Borst, René 27 2016 Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction. Zbl 1352.74405 May, Stefan; Vignollet, Julien; De Borst, René 12 2016 Powell-Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials. Zbl 1436.74071 May, Stefan; de Borst, René; Vignollet, Julien 5 2016 A numerical assessment of phase-field models for brittle and cohesive fracture: \(\Gamma\)-convergence and stress oscillations. Zbl 1406.74599 May, Stefan; Vignollet, Julien; de Borst, René 46 2015 Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone. Zbl 1423.74929 Verhoosel, C. V.; van Zwieten, G. J.; van Rietbergen, B.; de Borst, R. 45 2015 Propagation of delamination in composite materials with isogeometric continuum shell elements. Zbl 1352.74174 Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René 10 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. Zbl 1352.65041 May, Stefan; Vignollet, Julien; de Borst, René 7 2015 On the numerical integration of isogeometric interface elements. Zbl 1352.65087 Vignollet, Julien; May, Stefan; de Borst, René 6 2015 An isogeometric continuum shell element for non-linear analysis. Zbl 1296.74057 Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René 37 2014 An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems. Zbl 1352.74366 Irzal, F.; Remmers, J. J. C.; Verhoosel, C. V.; De Borst, R. 12 2014 The incorporation of gradient damage models in shell elements. Zbl 1352.74273 Hosseini, Saman; Remmers, Joris J. C.; De Borst, René 8 2014 A phase-field model for cohesive fracture. Zbl 1352.74029 Verhoosel, Clemens V.; De Borst, René 109 2013 An isogeometric solid-like shell element for nonlinear analysis. Zbl 1352.74362 Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; De Borst, René 53 2013 A large deformation formulation for fluid flow in a progressively fracturing porous material. Zbl 1352.76113 Irzal, Faisal; Remmers, Joris J. C.; Huyghe, Jacques M.; de Borst, René 13 2013 Computational methods for generalised continua. Zbl 1279.74044 de Borst, René 1 2013 Nonlinear finite element analysis of solids and structures. 2nd ed. Zbl 1300.74002 de Borst, René; Crisfield, Mike A.; Remmers, Joris J.; Verhoosel, Clemens V. 102 2012 A finite-element/boundary-element method for large-displacement fluid-structure interaction. Zbl 1311.76075 van Opstal, T. M.; van Brummelen, E. H.; de Borst, R.; Lewis, M. R. 21 2012 An isogeometric analysis approach to gradient damage models. Zbl 1235.74320 Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René 77 2011 An isogeometric approach to cohesive zone modeling. Zbl 1242.74169 Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R. 60 2011 Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints. Zbl 1230.74199 Van Der Zee, K. G.; Van Brummelen, E. H.; Akkerman, I.; De Borst, R. 24 2011 An investigation of interface-GMRES(R) for fluid-structure interaction problems with flutter and divergence. Zbl 1398.74086 Michler, Christian; van Brummelen, Harald; de Borst, René 11 2011 Multiscale methods in computational mechanics. Progress and accomplishments. Selected papers based on the presentations at the international colloquium (MMCM 2009), Rolduc, The Netherlands, March 11–13, 2009. Zbl 1202.74012 3 2011 Variational Germano approach for multiscale formulations. Zbl 1323.76082 Akkerman, Ido; Hulshoff, Steven J.; van der Zee, Kris G.; de Borst, René 2 2011 Multiscale modelling of the failure behaviour of fibre-reinforced laminates. Zbl 1323.74071 Cid Alfaro, M. V.; Suiker, A. S. J.; de Borst, R. 1 2011 Computational homogenization for adhesive and cohesive failure in quasi-brittle solids. Zbl 1197.74139 Verhoosel, Clemens V.; Remmers, Joris J. C.; Gutiérrez, Miguel A.; de Borst, René 41 2010 Goal-oriented error estimation and adaptivity for free-boundary problems: the domain-map linearization approach. Zbl 1210.35300 van der Zee, K. G.; van Brummelen, E. H.; De Borst, R. 14 2010 Goal-oriented error estimation and adaptivity for free-boundary problems: the shape-linearization approach. Zbl 1209.35159 van der Zee, K. G.; van Brummelen, E. H.; De Borst, R. 13 2010 A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257 Aubertin, Pascal; Réthoré, Julien; de Borst, René 8 2010 Numerical homogenization of cracking processes in thin fibre-epoxy layers. Zbl 1476.74131 Cid Alfaro, M. V.; Suiker, A. S. J.; Verhoosel, C. V.; de Borst, R. 5 2010 Energy conservation of atomistic/continuum coupling. Zbl 1183.74011 Aubertin, Pascal; Réthoré, Julien; de Borst, René 19 2009 A finite element method for level sets. Zbl 1168.76027 Valance, S.; de Borst, R.; Réthoré, J.; Coret, M. 1 2009 A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks. Zbl 1154.76053 Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle 33 2008 The simulation of dynamic crack propagation using the cohesive segments method. Zbl 1162.74438 Remmers, Joris J. C.; de Borst, René; Needleman, Alan 23 2008 Space/time multigrid for a fluid-structure-interaction problem. Zbl 1148.74046 van Brummelen, E. H.; van der Zee, K. G.; de Borst, R. 18 2008 A partition-of-unity-based finite element method for level sets. Zbl 1195.65134 Valance, Stéphane; de Borst, René; Réthoré, Julien; Coret, Michel 5 2008 Lecture notes on composite materials. Current topics and achievements. Zbl 1155.74006 4 2008 Goal-oriented error estimation for Stokes flow interacting with a flexible channel. Zbl 1136.76032 van der Zee, K. G.; van Brummelen, E. H.; de Borst, R. 4 2008 A method for coupling atoms to continuum mechanics for capturing dynamic crack propagation. Zbl 1151.74033 Aubertin, Pascal; de Borst, René; Réthoré, Julien 1 2008 A precis of two-scale approaches for fracture in porous media. Zbl 1298.74224 de Borst, R.; Rethore, J.; Abellan, M.-A. 1 2008 A two-scale approach for fluid flow in fractured porous media. Zbl 1194.76139 Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle 39 2007 A discrete model for the dynamic propagation of shear bands in a fluid-saturated medium. Zbl 1112.74055 Réthoré, Julien; De Borst, René; Abellan, Marie-Angèle 11 2007 A modal-based multiscale method for large eddy simulation. Zbl 1120.76031 Munts, E. A.; Hulshoff, S. J.; de Borst, R. 8 2007 Conservation under incompatibility for fluid-solid-interaction problems: the NPCL method. Zbl 1209.74074 van Brummelen, E. H.; de Borst, R. 1 2007 Multiscale overlap coupling for hybrid computations. Zbl 1173.76326 Akkerman, Ido; Hulshoff, Steven J.; de Borst, René 1 2007 A numerical approach for arbitrary cracks in a fluid-saturated medium. Zbl 1168.74447 de Borst, René; Réthoré, Julien; Abellan, Marie-Angèle 28 2006 Error-amplification analysis of subiteration-preconditioned GMRES for fluid-structure interaction. Zbl 1176.74217 Michler, C.; Van Brummelen, E. H.; De Borst, R. 15 2006 Wave propagation and localisation in a softening two-phase medium. Zbl 1118.74013 Abellan, Marie-Angèle; de Borst, René 10 2006 Modern domain-based discretization methods for damage and fracture. Zbl 1113.74420 De Borst, René 3 2006 On the nonnormality of subiteration for a fluid-structure-interaction problem. Zbl 1136.65334 van Brummelen, E. H.; de Borst, R. 51 2005 An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033 Michler, C.; van Brummelen, E. H.; de Borst, R. 47 2005 Enhanced continua and discrete lattices for modelling granular assemblies. Zbl 1152.74307 Suiker, Akke S. J.; de Borst, René 6 2005 Object-oriented stochastic finite element analysis of fibre metal laminates. Zbl 1082.74051 Chung, Doo Bo; Gutiérrez, Miguel A.; de Borst, René 6 2005 An anisotropic thermomechanical damage model for concrete at transient elevated temperatures. Zbl 1152.74334 Baker, Graham; de Borst, René 2 2005 Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001 65 2004 A monolithic approach to fluid-structure interaction. Zbl 1053.76042 Michler, C.; Hulshoff, S. J.; van Brummelen, E. H.; de Borst, R. 52 2004 Discrete \(vs\) smeared crack models for concrete fracture: bridging the gap. Zbl 1086.74044 de Borst, René; Remmers, Joris J. C.; Needleman, Alan; Abellan, Marie-Angèle 29 2004 Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis. Zbl 1060.74620 de Borst, René; Gutiérrez, Miguel A.; Wells, Garth N.; Remmers, Joris J. C.; Askes, Harm 26 2004 A cohesive segments method for the simulation of crack growth. Zbl 1038.74679 Remmers, J. J. C.; de Borst, R.; Needleman, A. 72 2003 An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617 Kuhl, E.; Hulshoff, S.; de Borst, R. 29 2003 The relevance of conservation for stability and accuracy of numerical methods for fluid-structure interaction. Zbl 1181.74156 Michler, C.; van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R. 26 2003 A solid-like shell element allowing for arbitrary delaminations. Zbl 1032.74682 Remmers, Joris J. C.; Wells, Garth N.; de Borst, René 19 2003 Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631 Pamin, Jerzy; Askes, Harm; de Borst, René 13 2003 Energy conservation under incompatibility for fluid-structure interaction problems. Zbl 1054.74567 van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R. 9 2003 A numerical model for the cyclic deterioration of railway tracks. Zbl 1062.74601 Suiker, Akke S. J.; de Borst, René 8 2003 The partition-of-unity method for linear diffusion and convection problems: Accuracy, stabilization and multiscale interpretation. Zbl 1032.76599 Munts, E. A.; Hulshoff, S. J.; de Borst, R. 8 2003 A large-strain discontinuous finite element approach to laminated composites. Zbl 1037.74052 Wells, G. N.; Remmers, J. J. C.; de Borst, R.; Sluys, L. J. 1 2003 A consistent geometrically nonlinear approach for delamination. Zbl 1086.74043 Wells, G. N.; de Borst, R.; Sluys, L. J. 46 2002 Localisation issues in local and nonlocal continuum approaches to fracture. Zbl 1041.74006 Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; Geers, M. G. D. 22 2002 A comparison between the Perzyna viscoplastic model and the consistency viscoplastic model. Zbl 1005.74013 Heeres, Otto M.; Suiker, Akke S. J.; de Borst, René 14 2002 A \(p\)-adaptive scheme for overcoming volumetric locking during plastic flow. Zbl 1047.74069 Wells, G. N.; Sluys, L. J.; de Borst, R. 7 2002 A unified approach to the implicit integration of standard, non-standard and viscous plasticity models. Zbl 1019.74004 de Borst, René; Heeres, Otto M. 6 2002 Instability analysis of vibrations of a uniformly moving mass in one- and two-dimensional elastic systems. Zbl 1005.74031 Kononov, A. V.; de Borst, R. 4 2002 A numerical framework for continuum damage – discontinuum transition. Zbl 1064.74015 de Borst, R.; Abellan, M. A. 1 2002 A critical comparison of nonlocal and gradient-enhanced softening continua. Zbl 1032.74008 Peerlings, R. H. J.; Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M. 136 2001 Micro-mechanical modelling of granular material. I: Derivation of a second-gradient micro-polar constitutive theory. II: Plane wave propagation in infinite media. Zbl 1135.74307 Suiker, A. S. J.; de Borst, R.; Chang, C. S. 37 2001 Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models. Zbl 0984.74034 Suiker, A. S. J.; Metrikine, A. V.; de Borst, R. 29 2001 Some observations on embedded discontinuity models. Zbl 0997.74061 de Borst, R.; Wells, G. N.; Sluys, L. J. 7 2001 A numerical model for the time-dependent cracking of cementitious materials. Zbl 1055.74043 van Zijl, G. P. A. G.; de Borst, R.; Rots, J. G. 5 2001 Implicit integration of a generalized plasticity constitutive model for partially saturated soil. Zbl 1015.74080 Zhang, H. W.; Heeres, O. M.; de Borst, R.; Schrefler, B. A. 5 2001 The role of crack rate dependence in the long-term behaviour of cementitious materials. Zbl 1046.74045 van Zijl, G. P. A. G.; de Borst, R.; Rots, J. G. 2 2001 Mathematical and numerical aspects of an elasticity-based local approach to fracture. Zbl 1014.74060 Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.; Geers, M. G. D. 1 2001 An anisotropic gradient damage model for quasi-brittle materials. Zbl 0992.74060 Kuhl, Ellen; Ramm, Ekkehard; de Borst, René 28 2000 Gradient-enhanced damage modelling of high-cycle fatigue. Zbl 0995.74056 Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.; Geers, M. G. D. 22 2000 Dispersion analysis and element-free Galerkin solutions of second- and fourth-order gradient-enhanced damage models. Zbl 1009.74082 Askes, Harm; Pamin, Jerzy; de Borst, René 20 2000 Phenomenological nonlocal approaches based on implicit gradient-enhanced damage. Zbl 0993.74006 Geers, M. G. D.; Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R. 15 2000 Numerical assessment of delamination in fibre metal laminates. Zbl 0965.74066 Hashagen, Frank; de Borst, René 11 2000 A new framework in nonlocal mechanics. Zbl 1213.74278 Ganghoffer, J. F.; De Borst, R. 11 2000 Stochastic aspects of localised failure: Material and boundary imperfections. Zbl 0993.74063 Gutiérrez, M. A.; De Borst, R. 3 2000 Branch switching techniques for bifurcation in soil deformation. Zbl 0967.74042 van der Veen, Hilda; Vuik, Kees; de Borst, René 3 2000 On coupled gradient-dependent plasticity and damage theories with a view to localization analysis. Zbl 0968.74007 de Borst, René; Pamin, Jerzy; Geers, Marc G. D. 36 1999 Conditions for locking-free elasto-plastic analyses in the element-free Galerkin method. Zbl 0962.74076 Askes, Harm; de Borst, René; Heeres, Otto 14 1999 Validation and internal length scale determination for a gradient damage model: Application to short glass-fibre-reinforced polypropylene. Zbl 0963.74502 Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.; Peerlings, R. H. J. 13 1999 ...and 50 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,278 Authors 80 de Borst, René 43 Tezduyar, Tayfun E. 38 Sluys, Lambertus Johannes 37 Takizawa, Kenji 30 Rabczuk, Timon 30 Van Brummelen, Harald 28 Steinmann, Paul 28 Verhoosel, Clemens V. 24 Bazilevs, Yuri 22 Hughes, Thomas J. R. 22 Wick, Thomas 20 Askes, Harm 19 Miehe, Christian 19 Waisman, Haim 18 Sun, WaiChing 17 Scott, Michael A. 16 Aldakheel, Fadi 16 Geers, Marc G. D. 16 Reali, Alessandro 15 Combescure, Alain 15 de Lorenzis, Laura 15 Remmers, Joris J. C. 15 Zhang, Hongwu 14 Areias, Pedro M. A. 14 Kiendl, Josef 14 Schillinger, Dominik 14 Wriggers, Peter 14 Wu, Jianying 13 Hsu, Ming-Chen 13 Menzel, Andreas M. 13 Paggi, Marco 13 Simone, Angelo 12 Nguyen, Vinh Phu 12 Peerlings, Ron H. J. 12 Zhuang, Xiaoying 11 Ambati, Marreddy 11 Bui, Tinh Quoc 11 Forest, Samuel 11 Khoei, Amir R. 11 Reinoso, Jose 11 Réthoré, Julien 10 Bordas, Stéphane Pierre Alain 10 Fish, Jacob 10 Gravouil, Anthony 10 Kästner, Markus 10 Kuhl, Ellen 10 Wells, Garth N. 9 Belytschko, Ted Bohdan 9 Calo, Victor Manuel 9 Hesch, Christian 9 Mosler, Jörn 9 Wheeler, Mary Fanett 9 Zheng, Hong 9 Zheng, Yonggang 8 Cervera, Miguel 8 Fagerström, Martin 8 Gutiérrez, Miguel A. 8 Kaliske, Michael 8 Klinkel, Sven 8 Larsson, Ragnar 8 Meschke, Günther 8 Natarajan, Sundararajan 8 Noels, Ludovic 8 Ramm, Ekkehard 8 Scovazzi, Guglielmo 8 Song, Chongmin 8 Yan, Jinhui 8 Zhang, Yongjie Jessica 7 Benvenuti, Elena 7 Bijl, Hester 7 Bouclier, Robin 7 Chiumenti, Michele 7 Degroote, Joris 7 Düster, Alexander 7 Elguedj, Thomas 7 Evans, John A. 7 François, Stijn 7 Garikipati, Krishna 7 Huerta, Antonio 7 Jaiman, Rajeev Kumar 7 Kostov, Nikolay A. 7 Li, Xikui 7 Lloberas-Valls, Oriol 7 Marigo, Jean-Jacques 7 Marotti de Sciarra, Francesco 7 Mohamed, M. Shadi 7 Niordson, Christian F. 7 Rodríguez-Ferran, Antonio 7 Sigmund, Ole 7 Suiker, Akke S. J. 7 van Zuijlen, Alexander H. 7 Weinberg, Kerstin 7 Ye, Hongfei 6 Altenbach, Holm 6 Auricchio, Ferdinando 6 Benallal, Ahmed 6 Borden, Michael J. 6 Borja, Ronaldo I. 6 Brekelmans, W. A. M. 6 Chambon, René Pierre Henri ...and 3,178 more Authors all top 5 Cited in 115 Serials 679 Computer Methods in Applied Mechanics and Engineering 221 International Journal for Numerical Methods in Engineering 216 Computational Mechanics 77 European Journal of Mechanics. A. 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Académie des Sciences, Paris 1 Journal of Numerical Mathematics ...and 15 more Serials all top 5 Cited in 36 Fields 1,755 Mechanics of deformable solids (74-XX) 608 Numerical analysis (65-XX) 333 Fluid mechanics (76-XX) 83 Partial differential equations (35-XX) 58 Biology and other natural sciences (92-XX) 24 Statistical mechanics, structure of matter (82-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Classical thermodynamics, heat transfer (80-XX) 15 Mechanics of particles and systems (70-XX) 15 Geophysics (86-XX) 14 Computer science (68-XX) 13 Approximations and expansions (41-XX) 9 Optics, electromagnetic theory (78-XX) 7 Operations research, mathematical programming (90-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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