×
Compute Distance To:
Author ID: de-borst.rene Recent zbMATH articles by "de Borst, René"
Published as: de Borst, R.; de Borst, René; De Borst, R.; De Borst, René; de Borst, Rene; De Borst, Rene
Homepage: https://www.sheffield.ac.uk/civil/staff/academic/deborst
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr
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 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.
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

Publications by Year

Citations contained in zbMATH Open

144 Publications have been cited 2,625 times in 1,657 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.
216
1996
Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019
De Borst, René; Mühlhaus, Hans-Bernd
166
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.
107
2001
A phase-field model for cohesive fracture. Zbl 1352.74029
Verhoosel, Clemens V.; De Borst, René
82
2013
On the numerical integration of interface elements. Zbl 0825.73840
Schellekens, J. C. J.; de Borst, R.
69
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
68
2011
A cohesive segments method for the simulation of crack growth. Zbl 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
66
2003
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.
66
1998
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.
55
2012
An isogeometric approach to cohesive zone modeling. Zbl 1242.74169
Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R.
55
2011
On the nonnormality of subiteration for a fluid-structure-interaction problem. Zbl 1136.65334
van Brummelen, E. H.; de Borst, R.
51
2005
Some novel developments in finite element procedures for gradient-dependent plasticity. Zbl 0885.73074
de Borst, René; Pamin, Jerzy
47
1996
Computation of post-bifurcation and post-failure behavior of strain- softening solids. Zbl 0603.73046
de Borst, R.
46
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
46
2013
An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033
Michler, C.; van Brummelen, E. H.; de Borst, R.
45
2005
A consistent geometrically nonlinear approach for delamination. Zbl 1086.74043
Wells, G. N.; de Borst, R.; Sluys, L. J.
44
2002
A monolithic approach to fluid-structure interaction. Zbl 1053.76042
Michler, C.; Hulshoff, S. J.; van Brummelen, E. H.; de Borst, R.
41
2004
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
35
2010
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
35
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
33
2014
A generalisation of \(J_ 2\)-flow theory for polar continua. Zbl 0777.73014
de Borst, René
33
1993
A two-scale approach for fluid flow in fractured porous media. Zbl 1194.76139
Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle
32
2007
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.
32
1996
Wave propagation, localization and dispersion in a gradient-dependent medium. Zbl 0771.73017
Sluys, L. J.; de Borst, R.; Mühlhaus, H.-B.
31
1993
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.
30
1999
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.
30
2015
Viscoplasticity for instabilities due to strain softening and strain-rate softening. Zbl 0974.74511
Wang, W. M.; Sluys, L. J.; de Borst, R.
29
1997
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.
27
2001
An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617
Kuhl, E.; Hulshoff, S.; de Borst, R.
26
2003
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.
26
2001
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.
25
2003
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
25
2008
A numerical approach for arbitrary cracks in a fluid-saturated medium. Zbl 1168.74447
de Borst, René; Réthoré, Julien; Abellan, Marie-Angèle
24
2006
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.
24
1993
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
24
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
23
2004
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.
23
1995
An anisotropic gradient damage model for quasi-brittle materials. Zbl 0992.74060
Kuhl, Ellen; Ramm, Ekkehard; de Borst, René
23
2000
Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347
de Borst, René; Verhoosel, Clemens V.
22
2016
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.
22
2011
The simulation of dynamic crack propagation using the cohesive segments method. Zbl 1162.74438
Remmers, Joris J. C.; de Borst, René; Needleman, Alan
22
2008
Studies in anisotropic plasticity with reference to the Hill criterion. Zbl 0712.73025
de Borst, René; Feenstra, Peter H.
21
1990
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.
20
2002
Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453
Kästner, Markus; Metsch, Philipp; de Borst, René
19
2016
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.
18
2000
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.
17
2012
Energy conservation of atomistic/continuum coupling. Zbl 1183.74011
Aubertin, Pascal; Réthoré, Julien; de Borst, René
17
2009
A plane stress softening plasticity model for orthotropic materials. Zbl 0897.73015
Lourenço, Paulo B.; de Borst, René; Rots, Jan G.
17
1997
Space/time multigrid for a fluid-structure-interaction problem. Zbl 1148.74046
van Brummelen, E. H.; van der Zee, K. G.; de Borst, R.
17
2008
A solid-like shell element allowing for arbitrary delaminations. Zbl 1032.74682
Remmers, Joris J. C.; Wells, Garth N.; de Borst, René
17
2003
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
16
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
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
Phase-field modelling of interface failure in brittle materials. Zbl 1440.74048
Hansen-Dörr, Arne Claus; de Borst, René; Hennig, Paul; Kästner, Markus
13
2019
Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631
Pamin, Jerzy; Askes, Harm; de Borst, René
12
2003
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.
12
1999
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
12
2002
The zero-normal-stress condition in plane-stress and shell elastoplasticity. Zbl 0714.73021
De Borst, René
12
1991
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.
12
2010
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.
12
2000
A new framework in nonlocal mechanics. Zbl 1213.74278
Ganghoffer, J. F.; De Borst, R.
11
2000
Bifurcations in finite element models with a non-associated flow law. Zbl 0626.73118
de Borst, R.
11
1988
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.
11
2010
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
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
10
2013
Wave propagation and localisation in a softening two-phase medium. Zbl 1118.74013
Abellan, Marie-Angèle; de Borst, René
10
2006
Numerical assessment of delamination in fibre metal laminates. Zbl 0965.74066
Hashagen, Frank; de Borst, René
10
2000
Smeared cracking, plasticity, creep, and thermal loading - A unified approach. Zbl 0607.73109
de Borst, R.
9
1987
On the behaviour of rubberlike materials in compression and shear. Zbl 0800.73035
van 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 1112.74055
Réthoré, Julien; De Borst, René; Abellan, Marie-Angèle
9
2007
Energy conservation under incompatibility for fluid-structure interaction problems. Zbl 1054.74567
van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R.
9
2003
Integration of plasticity equations for singular yield functions. Zbl 0614.73027
de Borst, R.
8
1987
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.
8
2014
The incorporation of gradient damage models in shell elements. Zbl 1352.74273
Hosseini, Saman; Remmers, Joris J. C.; De Borst, René
8
2014
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
8
2015
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 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
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
7
2016
A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257
Aubertin, Pascal; Réthoré, Julien; de Borst, René
7
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
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 cyclic deterioration of railway tracks. Zbl 1062.74601
Suiker, Akke S. J.; de Borst, René
7
2003
Gradient plasticity in numerical simulation of concrete cracking. Zbl 0858.73069
de Borst, René; Pamin, Jerzy
7
1996
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
6
2015
Classification of smeared crack models based on material and structural properties. Zbl 0932.74005
Weihe, S.; Kröplin, B.; de Borst, R.
6
1998
Combination of fracture and damage mechanics for numerical failure analysis. Zbl 0949.74061
van Vroonhoven, J. C. W.; de Borst, R.
6
1999
Towards efficient and robust elements for 3D soil plasticity. Zbl 0953.74062
de Borst, R.; Groen, A. E.
6
1999
Some observations on element performance in isochoric and dilatant plastic flow. Zbl 0836.73065
de Borst, René; Groen, Arend E.
6
1995
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
Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001
6
2004
Computational issues in gradient plasticity. Zbl 0900.73852
de Borst, R.; Pamin, J.; Sluys, L. J.
6
1995
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
A unified approach to the implicit integration of standard, non-standard and viscous plasticity models. Zbl 1019.74004
de Borst, René; Heeres, Otto M.
5
2002
An algorithm for mesh rezoning with application to strain localization problems. Zbl 0918.73145
Gutiérrez, M. A.; de Borst, R.; Schellekens, J. C. J.; Sluys, L. J.
5
1995
Discretization influence in strain-softening problems. Zbl 0824.73080
Sluys, L. J.; Cauvern, M.; de Borst, R.
5
1995
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
2
2021
Phase-field modelling of cohesive fracture. Zbl 1481.74051
Chen, Lin; de Borst, René
2
2021
A refined two-scale model for newtonian and non-Newtonian fluids in fractured poroelastic media. Zbl 07513814
Hageman, Tim; de Borst, René
1
2021
Sub-grid models for multiphase fluid flow inside fractures in poroelastic media. Zbl 1440.76095
Hageman, Tim; de Borst, René
1
2020
Phase-field modelling of interface failure in brittle materials. Zbl 1440.74048
Hansen-Dörr, Arne Claus; de Borst, René; Hennig, Paul; Kästner, Markus
13
2019
Adaptive refinement of hierarchical T-splines. Zbl 1440.65193
Chen, L.; de Borst, R.
2
2018
Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347
de Borst, René; Verhoosel, Clemens V.
22
2016
Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453
Kästner, Markus; Metsch, Philipp; de Borst, René
19
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
7
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
4
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
35
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.
30
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
8
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
6
2015
On the numerical integration of isogeometric interface elements. Zbl 1352.65087
Vignollet, Julien; May, Stefan; de Borst, René
4
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
33
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.
8
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
82
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
46
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
10
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.
55
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.
17
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
68
2011
An isogeometric approach to cohesive zone modeling. Zbl 1242.74169
Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R.
55
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.
22
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
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
35
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.
12
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.
11
2010
A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257
Aubertin, Pascal; Réthoré, Julien; de Borst, René
7
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.
1
2010
Energy conservation of atomistic/continuum coupling. Zbl 1183.74011
Aubertin, Pascal; Réthoré, Julien; de Borst, René
17
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
25
2008
The simulation of dynamic crack propagation using the cohesive segments method. Zbl 1162.74438
Remmers, Joris J. C.; de Borst, René; Needleman, Alan
22
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.
17
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
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 precis of two-scale approaches for fracture in porous media. Zbl 1298.74224
de Borst, R.; Rethore, J.; Abellan, M.-A.
1
2008
Lecture notes on composite materials. Current topics and achievements. Zbl 1155.74006
1
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 two-scale approach for fluid flow in fractured porous media. Zbl 1194.76139
Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle
32
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
9
2007
A modal-based multiscale method for large eddy simulation. Zbl 1120.76031
Munts, E. A.; Hulshoff, S. J.; de Borst, R.
8
2007
Multiscale overlap coupling for hybrid computations. Zbl 1173.76326
Akkerman, Ido; Hulshoff, Steven J.; de Borst, René
1
2007
Conservation under incompatibility for fluid-solid-interaction problems: the NPCL method. Zbl 1209.74074
van Brummelen, E. H.; de Borst, R.
1
2007
A numerical approach for arbitrary cracks in a fluid-saturated medium. Zbl 1168.74447
de Borst, René; Réthoré, Julien; Abellan, Marie-Angèle
24
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.
45
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
A monolithic approach to fluid-structure interaction. Zbl 1053.76042
Michler, C.; Hulshoff, S. J.; van Brummelen, E. H.; de Borst, R.
41
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
24
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
23
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 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
66
2003
An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617
Kuhl, E.; Hulshoff, S.; de Borst, R.
26
2003
The relevance of conservation for stability and accuracy of numerical methods for fluid-structure interaction. Zbl 1181.74156
Michler, C.; van Brummelen, E. H.; Hulshoff, S. J.; de Borst, R.
25
2003
A solid-like shell element allowing for arbitrary delaminations. Zbl 1032.74682
Remmers, Joris J. C.; Wells, Garth N.; de Borst, René
17
2003
Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631
Pamin, Jerzy; Askes, Harm; de Borst, René
12
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
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 numerical model for the cyclic deterioration of railway tracks. Zbl 1062.74601
Suiker, Akke S. J.; de Borst, René
7
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.
44
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.
20
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
12
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.
5
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.
107
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.
27
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.
26
2001
Some observations on embedded discontinuity models. Zbl 0997.74061
de Borst, R.; Wells, G. N.; Sluys, L. J.
7
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
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.
4
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.
1
2001
An anisotropic gradient damage model for quasi-brittle materials. Zbl 0992.74060
Kuhl, Ellen; Ramm, Ekkehard; de Borst, René
23
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.
18
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
16
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.
12
2000
A new framework in nonlocal mechanics. Zbl 1213.74278
Ganghoffer, J. F.; De Borst, R.
11
2000
Numerical assessment of delamination in fibre metal laminates. Zbl 0965.74066
Hashagen, Frank; de Borst, René
10
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.
30
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.
12
1999
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 reappraisal of nonlocal mechanics. Zbl 0932.74062
Ganghoffer, J. F.; Sluys, L. J.; de Borst, R.
7
1999
Combination of fracture and damage mechanics for numerical failure analysis. Zbl 0949.74061
van Vroonhoven, J. C. W.; de Borst, R.
6
1999
Towards efficient and robust elements for 3D soil plasticity. Zbl 0953.74062
de Borst, R.; Groen, A. E.
6
1999
...and 44 more Documents
all top 5

Cited by 2,624 Authors

74 de Borst, René
43 Tezduyar, Tayfun E.
37 Sluys, Lambertus Johannes
37 Takizawa, Kenji
26 Steinmann, Paul
25 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 Combescure, Alain
15 Remmers, Joris J. C.
15 Scott, Michael A.
15 Sun, WaiChing
14 Aldakheel, Fadi
13 Reali, Alessandro
12 Areias, Pedro M. A.
12 de Lorenzis, Laura
12 Kiendl, Josef
12 Menzel, Andreas M.
12 Wriggers, Peter
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
9 Belytschko, Ted Bohdan
9 Nguyen, Vinh Phu
9 Réthoré, Julien
9 Schillinger, Dominik
9 Zhang, Hongwu
9 Zhuang, Xiaoying
8 Bordas, Stéphane Pierre Alain
8 Bui, Tinh Quoc
8 Calo, Victor Manuel
8 Cervera, Miguel
8 Fagerström, Martin
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 Forest, Samuel
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 Laghrouche, Omar
6 Li, Xikui
6 Moorman, Creighton
6 Noels, Ludovic
6 Reddy, B. Dayanand
6 Reese, Stefanie
6 Sathe, Sunil
6 Sauer, Roger A.
6 Tejchman, Jacek
6 Thomas, Derek C.
6 Tvergaard, Viggo
...and 2,524 more Authors
all top 5

Cited in 102 Serials

552 Computer Methods in Applied Mechanics and Engineering
196 Computational Mechanics
168 International Journal for Numerical Methods in Engineering
70 European Journal of Mechanics. A. Solids
47 Journal of the Mechanics and Physics of Solids
45 Journal of Computational Physics
43 International Journal of Solids and Structures
38 Acta Mechanica
28 Engineering Analysis with Boundary Elements
22 Computers and Fluids
22 International Journal of Engineering Science
22 Applied Mathematical Modelling
22 Mathematics and Mechanics of Solids
21 Computers & Mathematics with Applications
20 Communications in Numerical Methods in Engineering
18 International Journal for Numerical and Analytical Methods in Geomechanics
17 Continuum Mechanics and Thermodynamics
16 Engineering Computations
15 Archives of Computational Methods in Engineering
15 International Journal of Fracture
14 International Journal of Plasticity
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Journal of Elasticity
11 International Journal for Numerical Methods in Fluids
11 Meccanica
10 Journal of Computational and Applied Mathematics
9 Archive of Applied Mechanics
9 International Journal of Computational Methods
7 Computational Geosciences
6 International Journal for Numerical Methods in Biomedical Engineering
5 Applied Mathematics and Mechanics. (English Edition)
5 Applied Numerical Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
4 ZAMP. 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. Series A: Theory and Methods
1 Numerische Mathematik
1 Physica D
1 Finite Elements in Analysis and Design
1 Numerical Methods for Partial Differential Equations
1 Computational Mathematics and Mathematical Physics
1 Computational Statistics and Data Analysis
1 Advances in Engineering Software
1 Computational and Applied Mathematics
1 Advances in Computational Mathematics
1 Journal of Vibration and Control
1 International Journal of Computational Fluid Dynamics
1 Abstract and Applied Analysis
1 Journal of Applied Mechanics and Technical Physics
1 Journal of Shanghai University
1 Journal of Mathematical Fluid Mechanics
1 European Journal of Mechanics. B. Fluids
1 Optimization and Engineering
1 Comptes Rendus. Mécanique. 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
1 Science China. Mathematics
1 Science China. Technological Sciences
...and 2 more Serials

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.