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de Borst, René

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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
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Documents Indexed: 171 Publications since 1987, including 6 Books
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 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 Hageman, Tim
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.

Publications by Year

Citations contained in zbMATH Open

139 Publications have been cited 2,373 times in 1,499 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.
190
1996
Gradient-dependent plasticity: Formulation and algorithmic aspects. Zbl 0768.73019
De Borst, René; Mühlhaus, Hans-Bernd
160
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.
95
2001
A phase-field model for cohesive fracture. Zbl 1352.74029
Verhoosel, Clemens V.; De Borst, René
67
2013
An isogeometric analysis approach to gradient damage models. Zbl 1235.74320
Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René
66
2011
On the numerical integration of interface elements. Zbl 0825.73840
Schellekens, J. C. J.; de Borst, R.
64
1993
A cohesive segments method for the simulation of crack growth. Zbl 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
62
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.
57
1998
An isogeometric approach to cohesive zone modeling. Zbl 1242.74169
Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R.
50
2011
On the nonnormality of subiteration for a fluid-structure-interaction problem. Zbl 1136.65334
van Brummelen, E. H.; de Borst, R.
49
2005
Some novel developments in finite element procedures for gradient-dependent plasticity. Zbl 0885.73074
de Borst, René; Pamin, Jerzy
46
1996
A consistent geometrically nonlinear approach for delamination. Zbl 1086.74043
Wells, G. N.; de Borst, R.; Sluys, L. J.
44
2002
An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033
Michler, C.; van Brummelen, E. H.; de Borst, R.
44
2005
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.
43
2012
Computation of post-bifurcation and post-failure behavior of strain- softening solids. Zbl 0603.73046
de Borst, R.
41
1987
A monolithic approach to fluid-structure interaction. Zbl 1053.76042
Michler, C.; Hulshoff, S. J.; van Brummelen, E. H.; de Borst, R.
39
2004
An isogeometric solid-like shell element for nonlinear analysis. Zbl 1352.74362
Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; De Borst, René
37
2013
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
32
2010
A generalisation of \(J_ 2\)-flow theory for polar continua. Zbl 0777.73014
de Borst, René
30
1993
A two-scale approach for fluid flow in fractured porous media. Zbl 1194.76139
Réthoré, Julien; de Borst, René; Abellan, Marie-Angèle
30
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.
29
1996
Wave propagation, localization and dispersion in a gradient-dependent medium. Zbl 0771.73017
Sluys, L. J.; de Borst, R.; Mühlhaus, H.-B.
29
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.
28
1999
An isogeometric continuum shell element for non-linear analysis. Zbl 1296.74057
Hosseini, Saman; Remmers, Joris J. C.; Verhoosel, Clemens V.; de Borst, René
28
2014
Viscoplasticity for instabilities due to strain softening and strain-rate softening. Zbl 0974.74511
Wang, W. M.; Sluys, L. J.; de Borst, R.
26
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.
25
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.
25
2001
An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617
Kuhl, E.; Hulshoff, S.; de Borst, R.
25
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 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
24
2015
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
23
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.
23
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
23
2008
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.
23
2015
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.
22
1995
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
22
2004
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
An anisotropic gradient damage model for quasi-brittle materials. Zbl 0992.74060
Kuhl, Ellen; Ramm, Ekkehard; de Borst, René
20
2000
Studies in anisotropic plasticity with reference to the Hill criterion. Zbl 0712.73025
de Borst, René; Feenstra, Peter H.
20
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.
19
2002
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.
19
2011
A numerical approach for arbitrary cracks in a fluid-saturated medium. Zbl 1168.74447
de Borst, René; Réthoré, Julien; Abellan, Marie-Angèle
19
2006
A plane stress softening plasticity model for orthotropic materials. Zbl 0897.73015
Lourenço, Paulo B.; de Borst, René; Rots, Jan G.
17
1997
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
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.
16
2000
A solid-like shell element allowing for arbitrary delaminations. Zbl 1032.74682
Remmers, Joris J. C.; Wells, Garth N.; de Borst, René
16
2003
Energy conservation of atomistic/continuum coupling. Zbl 1183.74011
Aubertin, Pascal; Réthoré, Julien; de Borst, René
16
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.
16
2008
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.
16
2012
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
Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453
Kästner, Markus; Metsch, Philipp; de Borst, René
14
2016
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
Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347
de Borst, René; Verhoosel, Clemens V.
12
2016
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.
11
1999
Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631
Pamin, Jerzy; Askes, Harm; de Borst, René
11
2003
Bifurcations in finite element models with a non-associated flow law. Zbl 0626.73118
de Borst, R.
11
1988
The zero-normal-stress condition in plane-stress and shell elastoplasticity. Zbl 0714.73021
De Borst, René
11
1991
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 new framework in nonlocal mechanics. Zbl 1213.74278
Ganghoffer, J. F.; De Borst, R.
11
2000
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
Numerical assessment of delamination in fibre metal laminates. Zbl 0965.74066
Hashagen, Frank; de Borst, René
10
2000
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.
10
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.
10
2000
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 comparison between the Perzyna viscoplastic model and the consistency viscoplastic model. Zbl 1005.74013
Heeres, Otto M.; Suiker, Akke S. J.; de Borst, René
9
2002
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
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
Wave propagation and localisation in a softening two-phase medium. Zbl 1118.74013
Abellan, Marie-Angèle; de Borst, René
9
2006
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
Numerical analysis of localization using a viscoplastic regularization: Influence of stochastic material defects. Zbl 0927.74068
Gutiérrez, M. A.; de Borst, R.
8
1999
Integration of plasticity equations for singular yield functions. Zbl 0614.73027
de Borst, R.
8
1987
A modal-based multiscale method for large eddy simulation. Zbl 1120.76031
Munts, E. A.; Hulshoff, S. J.; de Borst, R.
8
2007
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
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 numerical model for the cyclic deterioration of railway tracks. Zbl 1062.74601
Suiker, Akke S. J.; de Borst, René
7
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.
7
2003
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
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
A reappraisal of nonlocal mechanics. Zbl 0932.74062
Ganghoffer, J. F.; Sluys, L. J.; de Borst, R.
6
1999
Some observations on element performance in isochoric and dilatant plastic flow. Zbl 0836.73065
de Borst, René; Groen, Arend E.
6
1995
Some observations on embedded discontinuity models. Zbl 0997.74061
de Borst, R.; Wells, G. N.; Sluys, L. J.
6
2001
Towards efficient and robust elements for 3D soil plasticity. Zbl 0953.74062
de Borst, R.; Groen, A. E.
6
1999
A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257
Aubertin, Pascal; Réthoré, Julien; de Borst, René
6
2010
Object-oriented stochastic finite element analysis of fibre metal laminates. Zbl 1082.74051
Chung, Doo Bo; Gutiérrez, Miguel A.; de Borst, René
6
2005
The incorporation of gradient damage models in shell elements. Zbl 1352.74273
Hosseini, Saman; Remmers, Joris J. C.; De Borst, René
5
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
5
2016
Discretization influence in strain-softening problems. Zbl 0824.73080
Sluys, L. J.; Cauvern, M.; de Borst, R.
5
1995
A plasticity model and algorithm for mode-I cracking in concrete. Zbl 0847.73014
Feenstra, Peter H.; De Borst, René
5
1995
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
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 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
Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001
Stein, Erwin (ed.); de Borst, René (ed.); Hughes, Thomas J. R. (ed.)
5
2004
Enhanced continua and discrete lattices for modelling granular assemblies. Zbl 1152.74307
Suiker, Akke S. J.; de Borst, René
5
2005
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
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
4
2015
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
1
2021
Phase-field modelling of interface failure in brittle materials. Zbl 1440.74048
Hansen-Dörr, Arne Claus; de Borst, René; Hennig, Paul; Kästner, Markus
2
2019
Adaptive refinement of hierarchical T-splines. Zbl 1440.65193
Chen, L.; de Borst, R.
1
2018
Isogeometric analysis of the Cahn-Hilliard equation – a convergence study. Zbl 1349.65453
Kästner, Markus; Metsch, Philipp; de Borst, René
14
2016
Gradient damage vs phase-field approaches for fracture: similarities and differences. Zbl 1439.74347
de Borst, René; Verhoosel, Clemens V.
12
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
5
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
24
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.
23
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
6
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
4
2015
On the numerical integration of isogeometric interface elements. Zbl 1352.65087
Vignollet, Julien; May, Stefan; de Borst, René
3
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
28
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
5
2014
A phase-field model for cohesive fracture. Zbl 1352.74029
Verhoosel, Clemens V.; De Borst, René
67
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
37
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.
43
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.
16
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
66
2011
An isogeometric approach to cohesive zone modeling. Zbl 1242.74169
Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R.
50
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.
19
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
de Borst, René; Ramm, Ekkehard
2
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
32
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.
10
2010
A coupled molecular dynamics and extended finite element method for dynamic crack propagation. Zbl 1183.74257
Aubertin, Pascal; Réthoré, Julien; de Borst, René
6
2010
Energy conservation of atomistic/continuum coupling. Zbl 1183.74011
Aubertin, Pascal; Réthoré, Julien; de Borst, René
16
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
23
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.
16
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 method for coupling atoms to continuum mechanics for capturing dynamic crack propagation. Zbl 1151.74033
Aubertin, Pascal; de Borst, René; Réthoré, Julien
1
2008
Lecture notes on composite materials. Current topics and achievements. Zbl 1155.74006
de Borst, René; Sadowski, Tomasz
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
30
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
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
19
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
9
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.
49
2005
An interface Newton-Krylov solver for fluid-structure interaction. Zbl 1069.76033
Michler, C.; van Brummelen, E. H.; de Borst, R.
44
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
Enhanced continua and discrete lattices for modelling granular assemblies. Zbl 1152.74307
Suiker, Akke S. J.; de Borst, René
5
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.
39
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
23
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
22
2004
Encyclopedia of computational mechanics. Vol. 1. Fundamentals. Vol. 2. Solids and structures. Vol. 3. Fluids. Zbl 1190.76001
Stein, Erwin; de Borst, René; Hughes, Thomas J. R.
5
2004
A cohesive segments method for the simulation of crack growth. Zbl 1038.74679
Remmers, J. J. C.; de Borst, R.; Needleman, A.
62
2003
An arbitrary Lagrangian Eulerian finite-element approach for fluid-structure interaction phenomena. Zbl 1062.74617
Kuhl, E.; Hulshoff, S.; de Borst, R.
25
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
16
2003
Two gradient plasticity theories discretized with the element-free Galerkin method. Zbl 1119.74631
Pamin, Jerzy; Askes, Harm; de Borst, René
11
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
7
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.
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.
19
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
9
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.
95
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.
25
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.
25
2001
Some observations on embedded discontinuity models. Zbl 0997.74061
de Borst, R.; Wells, G. N.; Sluys, L. J.
6
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
20
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
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.
16
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
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.
10
2000
Branch switching techniques for bifurcation in soil deformation. Zbl 0967.74042
van der Veen, Hilda; Vuik, Kees; de Borst, René
3
2000
Stochastic aspects of localised failure: Material and boundary imperfections. Zbl 0993.74063
Gutiérrez, M. A.; De Borst, R.
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.
28
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.
11
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
Combination of fracture and damage mechanics for numerical failure analysis. Zbl 0949.74061
van Vroonhoven, J. C. W.; de Borst, R.
6
1999
A reappraisal of nonlocal mechanics. Zbl 0932.74062
Ganghoffer, J. F.; Sluys, L. J.; 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
Surface waves in a stratified half-space with enhanced continuum properties. I: Formulation of the boundary value problem. II: Analysis of the wave characteristics in regard to high-speed railway tracks. Zbl 0969.74037
Suiker, Akke S. J.; Chang, Ching S.; de Borst, René; Esveld, Coenraad
4
1999
Deterministic and stochastic analysis of size effects and damage evolution in quasi-brittle materials. Zbl 0968.74055
Gutiérrez, M. A.; de Borst, R.
4
1999
Performance of low-order triangular elements during plastic flow. Zbl 0946.74062
Heeres, O. M.; de Borst, R.
3
1999
An eigenvalue analysis of nonassociated plasticity. Zbl 0948.74007
Van der Veen, H.; Vuik, C.; De Borst, R.
1
1999
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.
57
1998
...and 39 more Documents
all top 5

Cited by 2,357 Authors

72 de Borst, René
43 Tezduyar, Tayfun E.
37 Sluys, Lambertus Johannes
37 Takizawa, Kenji
26 Steinmann, Paul
23 Van Brummelen, Harald
23 Verhoosel, Clemens V.
22 Rabczuk, Timon
19 Askes, Harm
19 Bazilevs, Yuri
19 Hughes, Thomas J. R.
19 Miehe, Christian
16 Geers, Marc G. D.
16 Wick, Thomas
15 Combescure, Alain
15 Waisman, Haim
14 Scott, Michael A.
13 Remmers, Joris J. C.
13 Sun, WaiChing
12 Aldakheel, Fadi
12 de Lorenzis, Laura
12 Menzel, Andreas M.
11 Areias, Pedro M. A.
11 Khoei, Amir R.
11 Kiendl, Josef
11 Peerlings, Ron H. J.
11 Simone, Angelo
11 Wriggers, Peter
10 Gravouil, Anthony
10 Kuhl, Ellen
10 Reali, Alessandro
10 Wells, Garth N.
9 Belytschko, Ted Bohdan
9 Fish, Jacob
9 Réthoré, Julien
9 Schillinger, Dominik
9 Zhuang, Xiaoying
8 Bordas, Stéphane Pierre Alain
8 Cervera, Miguel
8 Gutiérrez, Miguel A.
8 Hesch, Christian
8 Hsu, Ming-Chen
8 Larsson, Ragnar
8 Meschke, Günther
8 Nguyen, Vinh Phu
7 Ambati, Marreddy
7 Bijl, Hester
7 Calo, Victor Manuel
7 Chiumenti, Michele
7 Elguedj, Thomas
7 Garikipati, Krishna
7 Huerta, Antonio
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 Paggi, Marco
7 Ramm, Ekkehard
7 Rodríguez-Ferran, Antonio
7 van Zuijlen, Alexander H.
7 Wheeler, Mary Fanett
7 Wu, Jianying
7 Zhang, Hongwu
6 Benallal, Ahmed
6 Benvenuti, Elena
6 Borja, Ronaldo I.
6 Brekelmans, W. A. M.
6 Chambon, René Pierre Henri
6 Christopher, Jason
6 Degroote, Joris
6 Dittmann, Moritz Christopher
6 Fagerström, Martin
6 Fernández, Jose Ramon
6 Jirásek, Milan
6 Klinkel, Sven
6 Laghrouche, Omar
6 Li, Xikui
6 Moorman, Creighton
6 Noels, Ludovic
6 Reddy, B. Dayanand
6 Reinoso, J. F.
6 Sathe, Sunil
6 Suiker, Akke S. J.
6 Tejchman, Jacek
6 Tvergaard, Viggo
6 Wright, Samuel
5 Auricchio, Ferdinando
5 Borden, Michael J.
5 Cazes, Fabien
5 Challamel, Noël
5 Di Paola, Mario
5 Forest, Samuel
5 Gitman, Inna M.
5 Guo, Yujie
5 Henicke, Bradley
5 Huespe, Alfredo E.
5 Jaiman, Rajeev Kumar
...and 2,257 more Authors
all top 5

Cited in 97 Serials

476 Computer Methods in Applied Mechanics and Engineering
171 Computational Mechanics
168 International Journal for Numerical Methods in Engineering
63 European Journal of Mechanics. A. Solids
47 Journal of the Mechanics and Physics of Solids
43 International Journal of Solids and Structures
39 Journal of Computational Physics
35 Acta Mechanica
25 Engineering Analysis with Boundary Elements
22 Computers and Fluids
20 Computers & Mathematics with Applications
20 International Journal of Engineering Science
20 Communications in Numerical Methods in Engineering
18 International Journal for Numerical and Analytical Methods in Geomechanics
18 Mathematics and Mechanics of Solids
17 Applied Mathematical Modelling
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
11 International Journal for Numerical Methods in Fluids
11 Meccanica
10 Journal of Elasticity
9 Journal of Computational and Applied Mathematics
9 Archive of Applied Mechanics
7 International Journal of Computational Methods
6 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 Journal of Scientific Computing
3 Journal of Engineering Mathematics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Applied Mathematics and Computation
3 Mathematics and Computers in Simulation
3 Mathematical and Computer Modelling
3 SIAM Journal on Scientific Computing
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
2 Archives of Mechanics
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 Computational Methods in Applied Mathematics
2 Multiscale Modeling & Simulation
2 Acta Mechanica Sinica
2 GEM - International Journal on Geomathematics
2 ISRN Applied Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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 Matematicheskoe Modelirovanie
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 Advances in Difference Equations
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
1 Nanoscale Systems: Mathematical Modeling, Theory and Applications
1 Philosophical Transactions A. Royal Society of London
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

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