Edit Profile (opens in new tab) de Borst, René Compute Distance To: Compute 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: 167 Publications since 1987, including 2 Books 6 Contributions as Editor Co-Authors: 91 Co-Authors with 157 Joint Publications 2,077 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 Feenstra, Peter H. 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 Hageman, Tim 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 Hansen-Dörr, Arne Claus 1 Hashagen, Frank 1 Hennig, Paul 1 Huyghe, Jacques M. 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, S. 1 Whittle, Andrew J. 1 Wolfert, A. R. M. 1 Zhang, Hongwu all top 5 Serials 35 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 154 Mechanics of deformable solids (74-XX) 26 Numerical analysis (65-XX) 24 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 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 Computer science (68-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 144 Publications have been cited 2,726 times in 1,697 Documents Cited by ▼ Year ▼ Gradient enhanced damage for quasi-brittle materials. Zbl 0882.73057Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; de Vree, J. H. P. 222 1996 Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019De Borst, René; Mühlhaus, Hans-Bernd 167 1992 A critical comparison of nonlocal and gradient-enhanced softening continua. Zbl 1032.74008Peerlings, R. H. J.; Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M. 109 2001 A phase-field model for cohesive fracture. Zbl 1352.74029Verhoosel, Clemens V.; De Borst, René 87 2013 Strain-based transient-gradient damage model for failure analyses. Zbl 0938.74006Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.; Peerlings, R. H. J. 72 1998 On the numerical integration of interface elements. Zbl 0825.73840Schellekens, J. C. J.; de Borst, R. 69 1993 An isogeometric analysis approach to gradient damage models. Zbl 1235.74320Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René 69 2011 A cohesive segments method for the simulation of crack growth. Zbl 1038.74679Remmers, J. J. C.; de Borst, R.; Needleman, A. 68 2003 Nonlinear finite element analysis of solids and structures. 2nd ed. Zbl 1300.74002de Borst, René; Crisfield, Mike A.; Remmers, Joris J.; Verhoosel, Clemens V. 67 2012 An isogeometric approach to cohesive zone modeling. Zbl 1242.74169Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R. 56 2011 On the nonnormality of subiteration for a fluid-structure-interaction problem. Zbl 1136.65334van Brummelen, E. H.; de Borst, R. 51 2005 Some novel developments in finite element procedures for gradient-dependent plasticity. Zbl 0885.73074de Borst, René; Pamin, Jerzy 47 1996 Computation of post-bifurcation and post-failure behavior of strain- softening solids. Zbl 0603.73046de Borst, R. 47 1987 An isogeometric solid-like shell element for nonlinear analysis. Zbl 1352.74362Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; De Borst, René 46 2013 An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033Michler, C.; van Brummelen, E. H.; de Borst, R. 45 2005 A monolithic approach to fluid-structure interaction. Zbl 1053.76042Michler, C.; Hulshoff, S. J.; van Brummelen, E. H.; de Borst, R. 44 2004 A consistent geometrically nonlinear approach for delamination. Zbl 1086.74043Wells, G. N.; de Borst, R.; Sluys, L. J. 44 2002 A numerical assessment of phase-field models for brittle and cohesive fracture: \(\Gamma\)-convergence and stress oscillations. Zbl 1406.74599May, Stefan; Vignollet, Julien; de Borst, René 37 2015 A generalisation of \(J_ 2\)-flow theory for polar continua. Zbl 0777.73014de Borst, René 36 1993 Computational homogenization for adhesive and cohesive failure in quasi-brittle solids. Zbl 1197.74139Verhoosel, Clemens V.; Remmers, Joris J. C.; Gutiérrez, Miguel A.; de Borst, René 35 2010 Micro-mechanical modelling of granular material. I: Derivation of a second-gradient micro-polar constitutive theory. II: Plane wave propagation in infinite media. Zbl 1135.74307Suiker, A. S. J.; de Borst, R.; Chang, C. S. 34 2001 An isogeometric continuum shell element for non-linear analysis. Zbl 1296.74057Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René 34 2014 Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone. Zbl 1423.74929Verhoosel, C. V.; van Zwieten, G. J.; van Rietbergen, B.; de Borst, R. 33 2015 A two-scale approach for fluid flow in fractured porous media. Zbl 1194.76139Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle 33 2007 On coupled gradient-dependent plasticity and damage theories with a view to localization analysis. Zbl 0968.74007de Borst, René; Pamin, Jerzy; Geers, Marc G. D. 32 1999 Wave propagation, localization and dispersion in a gradient-dependent medium. Zbl 0771.73017Sluys, L. J.; de Borst, R.; Mühlhaus, H.-B. 32 1993 Some observations on localisation in non-local and gradient damage models. Zbl 0891.73055Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; de Vree, J. H. P.; Spee, I. 32 1996 Viscoplasticity for instabilities due to strain softening and strain-rate softening. Zbl 0974.74511Wang, W. M.; Sluys, L. J.; de Borst, R. 32 1997 Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347de Borst, René; Verhoosel, Clemens V. 27 2016 Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models. Zbl 0984.74034Suiker, A. S. J.; Metrikine, A. V.; de Borst, R. 27 2001 An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617Kuhl, E.; Hulshoff, S.; de Borst, R. 26 2003 The relevance of conservation for stability and accuracy of numerical methods for fluid-structure interaction. Zbl 1181.74156Michler, C.; van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R. 26 2003 A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks. Zbl 1154.76053Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle 26 2008 A numerical approach for arbitrary cracks in a fluid-saturated medium. Zbl 1168.74447de Borst, René; Réthoré, Julien; Abellan, Marie-Angèle 25 2006 Discrete \(vs\) smeared crack models for concrete fracture: bridging the gap. Zbl 1086.74044de Borst, René; Remmers, Joris J. C.; Needleman, Alan; Abellan, Marie-Angèle 24 2004 On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials. Zbl 0840.73047de Borst, R.; Pamin, J.; Peerlings, R. H. J.; Sluys, L. J. 24 1995 An anisotropic gradient damage model for quasi-brittle materials. Zbl 0992.74060Kuhl, Ellen; Ramm, Ekkehard; de Borst, René 24 2000 A non-linear finite element approach for the analysis of mode-I free edge delamination in composites. Zbl 0775.73292Schellekens, J. C. J.; de Borst, R. 24 1993 Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis. Zbl 1060.74620de Borst, René; Gutiérrez, Miguel A.; Wells, Garth N.; Remmers, Joris J. C.; Askes, Harm 24 2004 The simulation of dynamic crack propagation using the cohesive segments method. Zbl 1162.74438Remmers, Joris J. C.; de Borst, René; Needleman, Alan 22 2008 Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints. Zbl 1230.74199Van Der Zee, K. G.; Van Brummelen, E. H.; Akkerman, I.; De Borst, R. 22 2011 Studies in anisotropic plasticity with reference to the Hill criterion. Zbl 0712.73025de Borst, René; Feenstra, Peter H. 21 1990 Gradient-enhanced damage modelling of high-cycle fatigue. Zbl 0995.74056Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.; Geers, M. G. D. 21 2000 Localisation issues in local and nonlocal continuum approaches to fracture. Zbl 1041.74006Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; Geers, M. G. D. 21 2002 Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453Kästner, Markus; Metsch, Philipp; de Borst, René 20 2016 A finite-element/boundary-element method for large-displacement fluid-structure interaction. Zbl 1311.76075van Opstal, T. M.; van Brummelen, E. H.; de Borst, R.; Lewis, M. R. 18 2012 A solid-like shell element allowing for arbitrary delaminations. Zbl 1032.74682Remmers, Joris J. C.; Wells, Garth N.; de Borst, René 17 2003 A plane stress softening plasticity model for orthotropic materials. Zbl 0897.73015Lourenço, Paulo B.; de Borst, René; Rots, Jan G. 17 1997 Energy conservation of atomistic/continuum coupling. Zbl 1183.74011Aubertin, Pascal; Réthoré, Julien; de Borst, René 17 2009 Space/time multigrid for a fluid-structure-interaction problem. Zbl 1148.74046van Brummelen, E. H.; van der Zee, K. G.; de Borst, R. 17 2008 Phase-field modelling of interface failure in brittle materials. Zbl 1440.74048Hansen-Dörr, Arne Claus; de Borst, René; Hennig, Paul; Kästner, Markus 16 2019 Dispersion analysis and element-free Galerkin solutions of second- and fourth-order gradient-enhanced damage models. Zbl 1009.74082Askes, Harm; Pamin, Jerzy; de Borst, René 16 2000 Error-amplification analysis of subiteration-preconditioned GMRES for fluid-structure interaction. Zbl 1176.74217Michler, C.; Van Brummelen, E. H.; De Borst, R. 15 2006 Conditions for locking-free elasto-plastic analyses in the element-free Galerkin method. Zbl 0962.74076Askes, Harm; de Borst, René; Heeres, Otto 14 1999 Goal-oriented error estimation and adaptivity for free-boundary problems: the domain-map linearization approach. Zbl 1210.35300van der Zee, K. G.; van Brummelen, E. H.; De Borst, R. 13 2010 Validation and internal length scale determination for a gradient damage model: Application to short glass-fibre-reinforced polypropylene. Zbl 0963.74502Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.; Peerlings, R. H. J. 13 1999 A large deformation formulation for fluid flow in a progressively fracturing porous material. Zbl 1352.76113Irzal, Faisal; Remmers, Joris J. C.; Huyghe, Jacques M.; de Borst, René 12 2013 Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631Pamin, Jerzy; Askes, Harm; de Borst, René 12 2003 The zero-normal-stress condition in plane-stress and shell elastoplasticity. Zbl 0714.73021De Borst, René 12 1991 Phenomenological nonlocal approaches based on implicit gradient-enhanced damage. Zbl 0993.74006Geers, M. G. D.; Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R. 12 2000 A comparison between the Perzyna viscoplastic model and the consistency viscoplastic model. Zbl 1005.74013Heeres, Otto M.; Suiker, Akke S. J.; de Borst, René 12 2002 Goal-oriented error estimation and adaptivity for free-boundary problems: the shape-linearization approach. Zbl 1209.35159van der Zee, K. G.; van Brummelen, E. H.; De Borst, R. 12 2010 Bifurcations in finite element models with a non-associated flow law. Zbl 0626.73118de Borst, R. 11 1988 Wave propagation and localisation in a softening two-phase medium. Zbl 1118.74013Abellan, Marie-Angèle; de Borst, René 11 2006 An investigation of interface-GMRES(R) for fluid-structure interaction problems with flutter and divergence. Zbl 1398.74086Michler, Christian; van Brummelen, Harald; de Borst, René 11 2011 A new framework in nonlocal mechanics. Zbl 1213.74278Ganghoffer, J. F.; De Borst, R. 11 2000 Numerical assessment of delamination in fibre metal laminates. Zbl 0965.74066Hashagen, Frank; de Borst, René 10 2000 Propagation of delamination in composite materials with isogeometric continuum shell elements. Zbl 1352.74174Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René 9 2015 On the behaviour of rubberlike materials in compression and shear. Zbl 0800.73035van den Bogert, P. A. J.; de Borst, R. 9 1994 A discrete model for the dynamic propagation of shear bands in a fluid-saturated medium. Zbl 1112.74055Réthoré, Julien; De Borst, René; Abellan, Marie-Angèle 9 2007 Energy conservation under incompatibility for fluid-structure interaction problems. Zbl 1054.74567van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R. 9 2003 Smeared cracking, plasticity, creep, and thermal loading - A unified approach. Zbl 0607.73109de Borst, R. 9 1987 An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems. Zbl 1352.74366Irzal, F.; Remmers, J. J. C.; Verhoosel, C. V.; De Borst, R. 8 2014 The incorporation of gradient damage models in shell elements. Zbl 1352.74273Hosseini, Saman; Remmers, Joris J. C.; De Borst, René 8 2014 Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction. Zbl 1352.74405May, Stefan; Vignollet, Julien; De Borst, René 8 2016 The partition-of-unity method for linear diffusion and convection problems: Accuracy, stabilization and multiscale interpretation. Zbl 1032.76599Munts, E. A.; Hulshoff, S. J.; de Borst, R. 8 2003 Integration of plasticity equations for singular yield functions. Zbl 0614.73027de Borst, R. 8 1987 Numerical analysis of localization using a viscoplastic regularization: Influence of stochastic material defects. Zbl 0927.74068Gutiérrez, M. A.; de Borst, R. 8 1999 A modal-based multiscale method for large eddy simulation. Zbl 1120.76031Munts, E. A.; Hulshoff, S. J.; de Borst, R. 8 2007 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 1352.65041May, Stefan; Vignollet, Julien; de Borst, René 7 2015 A numerical model for the cyclic deterioration of railway tracks. Zbl 1062.74601Suiker, Akke S. J.; de Borst, René 7 2003 Failure in plain and reinforced concrete – an analysis of crack width and crack spacing. Zbl 0900.73611Sluys, L. J.; de Borst, R. 7 1996 A composite plasticity model for concrete. Zbl 0900.73455Feenstra, Peter H.; de Borst, René 7 1996 Some observations on embedded discontinuity models. Zbl 0997.74061de Borst, R.; Wells, G. N.; Sluys, L. J. 7 2001 A \(p\)-adaptive scheme for overcoming volumetric locking during plastic flow. Zbl 1047.74069Wells, G. N.; Sluys, L. J.; de Borst, R. 7 2002 Gradient plasticity in numerical simulation of concrete cracking. Zbl 0858.73069de Borst, René; Pamin, Jerzy 7 1996 Computational issues in gradient plasticity. Zbl 0900.73852de Borst, R.; Pamin, J.; Sluys, L. J. 7 1995 A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257Aubertin, Pascal; Réthoré, Julien; de Borst, René 7 2010 A reappraisal of nonlocal mechanics. Zbl 0932.74062Ganghoffer, J. F.; Sluys, L. J.; de Borst, R. 7 1999 Classification of smeared crack models based on material and structural properties. Zbl 0932.74005Weihe, S.; Kröplin, B.; de Borst, R. 6 1998 Combination of fracture and damage mechanics for numerical failure analysis. Zbl 0949.74061van Vroonhoven, J. C. W.; de Borst, R. 6 1999 Towards efficient and robust elements for 3D soil plasticity. Zbl 0953.74062de Borst, R.; Groen, A. E. 6 1999 Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001 6 2004 Object-oriented stochastic finite element analysis of fibre metal laminates. Zbl 1082.74051Chung, Doo Bo; Gutiérrez, Miguel A.; de Borst, René 6 2005 Interaction between material length scale and imperfection size for localisation phenomena in viscoplastic media. Zbl 0864.73022Wang, W. M.; Sluys, L. J.; de Borst, R. 6 1996 Some observations on element performance in isochoric and dilatant plastic flow. Zbl 0836.73065de Borst, René; Groen, Arend E. 6 1995 Enhanced continua and discrete lattices for modelling granular assemblies. Zbl 1152.74307Suiker, Akke S. J.; de Borst, René 6 2005 Discretization influence in strain-softening problems. Zbl 0824.73080Sluys, L. J.; Cauvern, M.; de Borst, R. 5 1995 Implicit integration of a generalized plasticity constitutive model for partially saturated soil. Zbl 1015.74080Zhang, H. W.; Heeres, O. M.; de Borst, R.; Schrefler, B. A. 5 2001 A unified approach to the implicit integration of standard, non-standard and viscous plasticity models. Zbl 1019.74004de Borst, René; Heeres, Otto M. 5 2002 Phase-field modelling of cohesive fracture. Zbl 1481.74051Chen, Lin; de Borst, René 3 2021 The use of Powell-Sabin B-splines in a higher-order phase-field model for crack kinking. Zbl 07360497Chen, Lin; Li, Bin; de Borst, René 3 2021 A refined two-scale model for newtonian and non-Newtonian fluids in fractured poroelastic media. Zbl 07513814Hageman, Tim; de Borst, René 2 2021 Sub-grid models for multiphase fluid flow inside fractures in poroelastic media. Zbl 1440.76095Hageman, Tim; de Borst, René 1 2020 Phase-field modelling of interface failure in brittle materials. Zbl 1440.74048Hansen-Dörr, Arne Claus; de Borst, René; Hennig, Paul; Kästner, Markus 16 2019 Adaptive refinement of hierarchical T-splines. Zbl 1440.65193Chen, L.; de Borst, R. 3 2018 Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347de Borst, René; Verhoosel, Clemens V. 27 2016 Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453Kästner, Markus; Metsch, Philipp; de Borst, René 20 2016 Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction. Zbl 1352.74405May, Stefan; Vignollet, Julien; De Borst, René 8 2016 Powell-Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials. Zbl 1436.74071May, Stefan; de Borst, René; Vignollet, Julien 4 2016 A numerical assessment of phase-field models for brittle and cohesive fracture: \(\Gamma\)-convergence and stress oscillations. Zbl 1406.74599May, Stefan; Vignollet, Julien; de Borst, René 37 2015 Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone. Zbl 1423.74929Verhoosel, C. V.; van Zwieten, G. J.; van Rietbergen, B.; de Borst, R. 33 2015 Propagation of delamination in composite materials with isogeometric continuum shell elements. Zbl 1352.74174Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René 9 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 1352.65041May, Stefan; Vignollet, Julien; de Borst, René 7 2015 On the numerical integration of isogeometric interface elements. Zbl 1352.65087Vignollet, Julien; May, Stefan; de Borst, René 4 2015 An isogeometric continuum shell element for non-linear analysis. Zbl 1296.74057Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René 34 2014 An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems. Zbl 1352.74366Irzal, F.; Remmers, J. J. C.; Verhoosel, C. V.; De Borst, R. 8 2014 The incorporation of gradient damage models in shell elements. Zbl 1352.74273Hosseini, Saman; Remmers, Joris J. C.; De Borst, René 8 2014 A phase-field model for cohesive fracture. Zbl 1352.74029Verhoosel, Clemens V.; De Borst, René 87 2013 An isogeometric solid-like shell element for nonlinear analysis. Zbl 1352.74362Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; De Borst, René 46 2013 A large deformation formulation for fluid flow in a progressively fracturing porous material. Zbl 1352.76113Irzal, Faisal; Remmers, Joris J. C.; Huyghe, Jacques M.; de Borst, René 12 2013 Nonlinear finite element analysis of solids and structures. 2nd ed. Zbl 1300.74002de Borst, René; Crisfield, Mike A.; Remmers, Joris J.; Verhoosel, Clemens V. 67 2012 A finite-element/boundary-element method for large-displacement fluid-structure interaction. Zbl 1311.76075van Opstal, T. M.; van Brummelen, E. H.; de Borst, R.; Lewis, M. R. 18 2012 An isogeometric analysis approach to gradient damage models. Zbl 1235.74320Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René 69 2011 An isogeometric approach to cohesive zone modeling. Zbl 1242.74169Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R. 56 2011 Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints. Zbl 1230.74199Van Der Zee, K. G.; Van Brummelen, E. H.; Akkerman, I.; De Borst, R. 22 2011 An investigation of interface-GMRES(R) for fluid-structure interaction problems with flutter and divergence. Zbl 1398.74086Michler, 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 1323.76082Akkerman, Ido; Hulshoff, Steven J.; van der Zee, Kris G.; de Borst, René 1 2011 Computational homogenization for adhesive and cohesive failure in quasi-brittle solids. Zbl 1197.74139Verhoosel, Clemens V.; Remmers, Joris J. C.; Gutiérrez, Miguel A.; de Borst, René 35 2010 Goal-oriented error estimation and adaptivity for free-boundary problems: the domain-map linearization approach. Zbl 1210.35300van der Zee, K. G.; van Brummelen, E. H.; De Borst, R. 13 2010 Goal-oriented error estimation and adaptivity for free-boundary problems: the shape-linearization approach. Zbl 1209.35159van der Zee, K. G.; van Brummelen, E. H.; De Borst, R. 12 2010 A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257Aubertin, Pascal; Réthoré, Julien; de Borst, René 7 2010 Numerical homogenization of cracking processes in thin fibre-epoxy layers. Zbl 1476.74131Cid Alfaro, M. V.; Suiker, A. S. J.; Verhoosel, C. V.; de Borst, R. 1 2010 Energy conservation of atomistic/continuum coupling. Zbl 1183.74011Aubertin, Pascal; Réthoré, Julien; de Borst, René 17 2009 A finite element method for level sets. Zbl 1168.76027Valance, 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 1154.76053Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle 26 2008 The simulation of dynamic crack propagation using the cohesive segments method. Zbl 1162.74438Remmers, Joris J. C.; de Borst, René; Needleman, Alan 22 2008 Space/time multigrid for a fluid-structure-interaction problem. Zbl 1148.74046van Brummelen, E. H.; van der Zee, K. G.; de Borst, R. 17 2008 A partition-of-unity-based finite element method for level sets. Zbl 1195.65134Valance, Stéphane; de Borst, René; Réthoré, Julien; Coret, Michel 5 2008 Goal-oriented error estimation for Stokes flow interacting with a flexible channel. Zbl 1136.76032van der Zee, K. G.; van Brummelen, E. H.; de Borst, R. 4 2008 A precis of two-scale approaches for fracture in porous media. Zbl 1298.74224de Borst, R.; Rethore, J.; Abellan, M.-A. 1 2008 A method for coupling atoms to continuum mechanics for capturing dynamic crack propagation. Zbl 1151.74033Aubertin, Pascal; de Borst, René; Réthoré, Julien 1 2008 Lecture notes on composite materials. Current topics and achievements. Zbl 1155.74006 1 2008 A two-scale approach for fluid flow in fractured porous media. Zbl 1194.76139Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle 33 2007 A discrete model for the dynamic propagation of shear bands in a fluid-saturated medium. Zbl 1112.74055Réthoré, Julien; De Borst, René; Abellan, Marie-Angèle 9 2007 A modal-based multiscale method for large eddy simulation. Zbl 1120.76031Munts, E. A.; Hulshoff, S. J.; de Borst, R. 8 2007 Multiscale overlap coupling for hybrid computations. Zbl 1173.76326Akkerman, Ido; Hulshoff, Steven J.; de Borst, René 1 2007 Conservation under incompatibility for fluid-solid-interaction problems: the NPCL method. Zbl 1209.74074van Brummelen, E. H.; de Borst, R. 1 2007 A numerical approach for arbitrary cracks in a fluid-saturated medium. Zbl 1168.74447de Borst, René; Réthoré, Julien; Abellan, Marie-Angèle 25 2006 Error-amplification analysis of subiteration-preconditioned GMRES for fluid-structure interaction. Zbl 1176.74217Michler, C.; Van Brummelen, E. H.; De Borst, R. 15 2006 Wave propagation and localisation in a softening two-phase medium. Zbl 1118.74013Abellan, Marie-Angèle; de Borst, René 11 2006 Modern domain-based discretization methods for damage and fracture. Zbl 1113.74420De Borst, René 3 2006 On the nonnormality of subiteration for a fluid-structure-interaction problem. Zbl 1136.65334van Brummelen, E. H.; de Borst, R. 51 2005 An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033Michler, C.; van Brummelen, E. H.; de Borst, R. 45 2005 Object-oriented stochastic finite element analysis of fibre metal laminates. Zbl 1082.74051Chung, Doo Bo; Gutiérrez, Miguel A.; de Borst, René 6 2005 Enhanced continua and discrete lattices for modelling granular assemblies. Zbl 1152.74307Suiker, Akke S. J.; de Borst, René 6 2005 An anisotropic thermomechanical damage model for concrete at transient elevated temperatures. Zbl 1152.74334Baker, Graham; de Borst, René 2 2005 A monolithic approach to fluid-structure interaction. Zbl 1053.76042Michler, C.; Hulshoff, S. J.; van Brummelen, E. H.; de Borst, R. 44 2004 Discrete \(vs\) smeared crack models for concrete fracture: bridging the gap. Zbl 1086.74044de Borst, René; Remmers, Joris J. C.; Needleman, Alan; Abellan, Marie-Angèle 24 2004 Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis. Zbl 1060.74620de Borst, René; Gutiérrez, Miguel A.; Wells, Garth N.; Remmers, Joris J. C.; Askes, Harm 24 2004 Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001 6 2004 A cohesive segments method for the simulation of crack growth. Zbl 1038.74679Remmers, J. J. C.; de Borst, R.; Needleman, A. 68 2003 An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617Kuhl, E.; Hulshoff, S.; de Borst, R. 26 2003 The relevance of conservation for stability and accuracy of numerical methods for fluid-structure interaction. Zbl 1181.74156Michler, C.; van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R. 26 2003 A solid-like shell element allowing for arbitrary delaminations. Zbl 1032.74682Remmers, Joris J. C.; Wells, Garth N.; de Borst, René 17 2003 Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631Pamin, Jerzy; Askes, Harm; de Borst, René 12 2003 Energy conservation under incompatibility for fluid-structure interaction problems. Zbl 1054.74567van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R. 9 2003 The partition-of-unity method for linear diffusion and convection problems: Accuracy, stabilization and multiscale interpretation. Zbl 1032.76599Munts, E. A.; Hulshoff, S. J.; de Borst, R. 8 2003 A numerical model for the cyclic deterioration of railway tracks. Zbl 1062.74601Suiker, Akke S. J.; de Borst, René 7 2003 A large-strain discontinuous finite element approach to laminated composites. Zbl 1037.74052Wells, G. N.; Remmers, J. J. C.; de Borst, R.; Sluys, L. J. 1 2003 A consistent geometrically nonlinear approach for delamination. Zbl 1086.74043Wells, G. N.; de Borst, R.; Sluys, L. J. 44 2002 Localisation issues in local and nonlocal continuum approaches to fracture. Zbl 1041.74006Peerlings, R. H. J.; de Borst, R.; Brekelmans, W. A. M.; Geers, M. G. D. 21 2002 A comparison between the Perzyna viscoplastic model and the consistency viscoplastic model. Zbl 1005.74013Heeres, Otto M.; Suiker, Akke S. J.; de Borst, René 12 2002 A \(p\)-adaptive scheme for overcoming volumetric locking during plastic flow. Zbl 1047.74069Wells, 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 1019.74004de Borst, René; Heeres, Otto M. 5 2002 Instability analysis of vibrations of a uniformly moving mass in one- and two-dimensional elastic systems. Zbl 1005.74031Kononov, A. V.; de Borst, R. 4 2002 A numerical framework for continuum damage – discontinuum transition. Zbl 1064.74015de Borst, R.; Abellan, M. A. 1 2002 A critical comparison of nonlocal and gradient-enhanced softening continua. Zbl 1032.74008Peerlings, R. H. J.; Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M. 109 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 1135.74307Suiker, A. S. J.; de Borst, R.; Chang, C. S. 34 2001 Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models. Zbl 0984.74034Suiker, A. S. J.; Metrikine, A. V.; de Borst, R. 27 2001 Some observations on embedded discontinuity models. Zbl 0997.74061de Borst, R.; Wells, G. N.; Sluys, L. J. 7 2001 Implicit integration of a generalized plasticity constitutive model for partially saturated soil. Zbl 1015.74080Zhang, H. W.; Heeres, O. M.; de Borst, R.; Schrefler, B. A. 5 2001 A numerical model for the time-dependent cracking of cementitious materials. Zbl 1055.74043van Zijl, G. P. A. G.; de Borst, R.; Rots, J. G. 4 2001 The role of crack rate dependence in the long-term behaviour of cementitious materials. Zbl 1046.74045van Zijl, G. P. A. G.; de Borst, R.; Rots, J. G. 2 2001 An anisotropic gradient damage model for quasi-brittle materials. Zbl 0992.74060Kuhl, Ellen; Ramm, Ekkehard; de Borst, René 24 2000 Gradient-enhanced damage modelling of high-cycle fatigue. Zbl 0995.74056Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R.; Geers, M. G. D. 21 2000 Dispersion analysis and element-free Galerkin solutions of second- and fourth-order gradient-enhanced damage models. Zbl 1009.74082Askes, Harm; Pamin, Jerzy; de Borst, René 16 2000 Phenomenological nonlocal approaches based on implicit gradient-enhanced damage. Zbl 0993.74006Geers, M. G. D.; Peerlings, R. H. J.; Brekelmans, W. A. M.; de Borst, R. 12 2000 A new framework in nonlocal mechanics. Zbl 1213.74278Ganghoffer, J. F.; De Borst, R. 11 2000 Numerical assessment of delamination in fibre metal laminates. Zbl 0965.74066Hashagen, Frank; de Borst, René 10 2000 Stochastic aspects of localised failure: Material and boundary imperfections. Zbl 0993.74063Gutiérrez, M. A.; De Borst, R. 3 2000 Branch switching techniques for bifurcation in soil deformation. Zbl 0967.74042van 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 0968.74007de Borst, René; Pamin, Jerzy; Geers, Marc G. D. 32 1999 Conditions for locking-free elasto-plastic analyses in the element-free Galerkin method. Zbl 0962.74076Askes, 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 0963.74502Geers, M. G. D.; de Borst, R.; Brekelmans, W. A. M.; Peerlings, R. H. J. 13 1999 Numerical analysis of localization using a viscoplastic regularization: Influence of stochastic material defects. Zbl 0927.74068Gutiérrez, M. A.; de Borst, R. 8 1999 A reappraisal of nonlocal mechanics. Zbl 0932.74062Ganghoffer, J. F.; Sluys, L. J.; de Borst, R. 7 1999 Combination of fracture and damage mechanics for numerical failure analysis. Zbl 0949.74061van Vroonhoven, J. C. W.; de Borst, R. 6 1999 Towards efficient and robust elements for 3D soil plasticity. Zbl 0953.74062de Borst, R.; Groen, A. E. 6 1999 ...and 44 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,740 Authors 74 de Borst, René 43 Tezduyar, Tayfun E. 37 Sluys, Lambertus Johannes 37 Takizawa, Kenji 27 Steinmann, Paul 26 Rabczuk, Timon 25 Van Brummelen, Harald 25 Verhoosel, Clemens V. 20 Bazilevs, Yuri 19 Askes, Harm 19 Hughes, Thomas J. R. 19 Miehe, Christian 19 Wick, Thomas 17 Waisman, Haim 16 Geers, Marc G. D. 15 Aldakheel, Fadi 15 Combescure, Alain 15 Remmers, Joris J. C. 15 Scott, Michael A. 15 Sun, WaiChing 13 Reali, Alessandro 13 Wriggers, Peter 12 Areias, Pedro M. A. 12 de Lorenzis, Laura 12 Kiendl, Josef 12 Menzel, Andreas M. 11 Hsu, Ming-Chen 11 Khoei, Amir R. 11 Peerlings, Ron H. J. 11 Simone, Angelo 10 Fish, Jacob 10 Gravouil, Anthony 10 Kuhl, Ellen 10 Paggi, Marco 10 Wells, Garth N. 10 Wu, Jianying 10 Zhang, Hongwu 9 Belytschko, Ted Bohdan 9 Bui, Tinh Quoc 9 Nguyen, Vinh Phu 9 Réthoré, Julien 9 Schillinger, Dominik 9 Zhuang, Xiaoying 8 Bordas, Stéphane Pierre Alain 8 Calo, Victor Manuel 8 Cervera, Miguel 8 Fagerström, Martin 8 Forest, Samuel 8 Gutiérrez, Miguel A. 8 Hesch, Christian 8 Klinkel, Sven 8 Larsson, Ragnar 8 Meschke, Günther 8 Reinoso, Jose 7 Ambati, Marreddy 7 Benvenuti, Elena 7 Bijl, Hester 7 Chiumenti, Michele 7 Elguedj, Thomas 7 Garikipati, Krishna 7 Huerta, Antonio 7 Kaliske, Michael 7 Kostov, Nikolay A. 7 Lloberas-Valls, Oriol 7 Marigo, Jean-Jacques 7 Marotti de Sciarra, Francesco 7 Mohamed, M. Shadi 7 Mosler, Jörn 7 Niordson, Christian F. 7 Ramm, Ekkehard 7 Rodríguez-Ferran, Antonio 7 Suiker, Akke S. J. 7 van Zuijlen, Alexander H. 7 Wheeler, Mary Fanett 7 Zhang, Yongjie Jessica 7 Zheng, Hong 6 Auricchio, Ferdinando 6 Benallal, Ahmed 6 Borden, Michael J. 6 Borja, Ronaldo I. 6 Brekelmans, W. A. M. 6 Chambon, René Pierre Henri 6 Christopher, Jason 6 Degroote, Joris 6 Dittmann, M. 6 Düster, Alexander 6 Fernández, Jose Ramon 6 Ganghoffer, Jean-François 6 Jirásek, Milan 6 Kästner, Markus 6 Laghrouche, Omar 6 Li, Xikui 6 Li, Xin 6 Mergheim, Julia 6 Moorman, Creighton 6 Noels, Ludovic 6 Reddy, B. Dayanand 6 Reese, Stefanie 6 Sathe, Sunil 6 Sauer, Roger A. ...and 2,640 more Authors all top 5 Cited in 104 Serials 562 Computer Methods in Applied Mechanics and Engineering 200 Computational Mechanics 168 International Journal for Numerical Methods in Engineering 73 European Journal of Mechanics. A. 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Zeitschrift für angewandte Mathematik und Physik 4 Journal of Scientific Computing 4 SIAM Journal on Scientific Computing 3 Archives of Mechanics 3 Journal of Engineering Mathematics 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 Mathematical and Computer Modelling 3 Mathematical Problems in Engineering 3 Structural and Multidisciplinary Optimization 3 Granular Matter 3 International Journal of Structural Stability and Dynamics 3 Mathematics and Mechanics of Complex Systems 3 International Journal of Engineering Mathematics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Wave Motion 2 Computer Aided Geometric Design 2 Nonlinear Dynamics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Matematicheskoe Modelirovanie 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 2 International Journal of Numerical Analysis and Modeling 2 Acta Mechanica Sinica 2 Communications in Computational Physics 2 GEM - International Journal on Geomathematics 2 ISRN Applied Mathematics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Journal of Applied Mathematics and Mechanics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. 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Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Milan Journal of Mathematics 1 Quantum Information Processing 1 Acta Numerica 1 Waves in Random and Complex Media 1 GAMM-Mitteilungen 1 Networks and Heterogeneous Media 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Algorithms ...and 4 more Serials all top 5 Cited in 33 Fields 1,518 Mechanics of deformable solids (74-XX) 493 Numerical analysis (65-XX) 255 Fluid mechanics (76-XX) 59 Partial differential equations (35-XX) 46 Biology and other natural sciences (92-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 12 Approximations and expansions (41-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Optics, electromagnetic theory (78-XX) 9 Mechanics of particles and systems (70-XX) 8 Computer science (68-XX) 8 Geophysics (86-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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