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Holzapfel, Gerhard Alfred

Author ID: holzapfel.gerhard-a Recent zbMATH articles by "Holzapfel, Gerhard Alfred"
Published as: Holzapfel, Gerhard A.; Holzapfel, G. A.
Homepage: https://www.biomech.tugraz.at/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
Documents Indexed: 85 Publications since 1991, including 1 Book
7 Contributions as Editor
Biographic References: 1 Publication
Co-Authors: 94 Co-Authors with 77 Joint Publications
1,732 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
16 Ogden, Raymond William
6 Gültekin, Osman
5 Gasser, Thomas C.
5 Kroon, Martin
5 Li, Kewei
4 Dal, Hüsnü
4 Murtada, Saeil C.
3 Balzani, Daniel
3 Eberlein, Robert
3 Gasser, T. Christian
3 Sommer, Gerhard
2 Haspinger, Daniel Ch.
2 Kuhl, Ellen
2 Nordsletten, David A.
2 Prot, Victorien
2 Rolf-Pissarczyk, Malte
2 Simo, Juan Carlos
2 Skallerud, Bjørn H.
2 Stålhand, Jonas
2 Steinbach, Olaf
2 Weizsäcker, Hans W.
2 Wriggers, Peter
2 Zhang, Will
1 Ambrosi, Davide
1 Arner, Anders
1 Arruda, Ellen M.
1 Ateshian, Gerard A.
1 Augustin, Christoph M.
1 Berger, Stanley A.
1 Bigoni, Davide
1 Böck, Nikolaus
1 Brenn, Günter
1 Brinkhues, Sarah
1 Budday, Silvia
1 Buganza Tepole, Adrián
1 Bustamante, Roger
1 Capilnasiu, Adela
1 Carniel, Thiago André
1 Celigoj, Christian C.
1 Comellas, Ester
1 Cowin, Stephen C.
1 Cyron, Christian Johannes
1 Dalbosco, Misael
1 deBotton, Gal
1 Denli, Funda Aksu
1 Egger, Jan
1 Eriksson, T. S. E.
1 Fancello, Eduardo Alberto
1 Fleischmann, Dominik
1 Franceschini, Giulia
1 Fröhlich, Manuel
1 Garikipati, Krishna
1 Goriely, Alain
1 Hariton, I.
1 Horvat, Nino
1 Humphrey, Jay D.
1 Jilberto, Javiera
1 Karšaj, Igor
1 Kauffmann, Claude
1 Kemkemer, Ralf
1 Kiousis, D. E.
1 Klarbring, Anders
1 Korelc, Jože
1 Linka, Kevin
1 Liu, Hongliang
1 McHugh, Peter E.
1 Neff, Patrizio
1 Niestrawska, Justyna A.
1 Olberding, J. E.
1 Pelteret, Jean-Paul
1 Pepe, Antonio
1 Pierce, David M.
1 Plank, Gernot
1 Prassl, Anton J.
1 Ranftl, Sascha
1 Regitnig, P.
1 Roy, David B.
1 Sacks, Michael S.
1 Schanz, Martin
1 Schröder, Jörg
1 Sherifova, Selda
1 Sorić, Jurica
1 Soulez, Gilles
1 Steinmann, Paul
1 Taber, Larry A.
1 Trobin, Werner
1 Ventikos, Yiannis
1 Virag, Lana
1 Von der Linden, Wolfgang
1 Watton, Paul N.
1 Wolkerstorfer, Gloria
1 Yang, Yingqiao
1 Yung, Kai-Leung
1 Zohdi, Tarek I.

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 2,120 times in 1,350 Documents Cited by Year
Nonlinear solid mechanics. A continuum approach for engineering. Zbl 0980.74001
Holzapfel, Gerhard A.
536
2000
A new constitutive framework for arterial wall mechanics and a comparative study of material models. Zbl 1023.74033
Holzapfel, Gerhard A.; Gasser, Thomas C.; Ogden, Ray W.
349
2000
Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060
Holzapfel, Gerhard A.; Ogden, Ray W.
121
2009
A polyconvex framework for soft biological tissues. Adjustment to experimental data. Zbl 1120.74632
Balzani, D.; Neff, P.; Schröder, J.; Holzapfel, G. A.
88
2006
Constitutive modelling of arteries. Zbl 1197.74075
Holzapfel, Gerhard A.; Ogden, Ray W.
83
2010
Perspectives on biological growth and remodeling. Zbl 1270.74134
Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K.
81
2011
A new viscoelastic constitutive model for continuous media at finite thermomechanical changes. Zbl 0909.73038
Holzapfel, Gerhard A.; Simo, Juan C.
56
1996
On large strain viscoelasticity: Continuum formulation and finite element applications to elastomeric structures. Zbl 0920.73064
Holzapfel, Gerhard A.
47
1996
Modeling 3D crack propagation in unreinforced concrete using PUFEM. Zbl 1176.74180
Gasser, Thomas C.; Holzapfel, Gerhard A.
42
2005
Brain tissue deforms similarly to filled elastomers and follows consolidation theory. Zbl 1162.74303
Franceschini, G.; Bigoni, D.; Regitnig, P.; Holzapfel, G. A.
36
2006
3D crack propagation in unreinforced concrete: A two-step algorithm for tracking 3D crack paths. Zbl 1154.74376
Gasser, Thomas C.; Holzapfel, Gerhard A.
34
2006
\(C^{n}\) continuous modelling of smooth contact surfaces using NURBS and application to 2D problems. Zbl 1062.74628
Stadler, M.; Holzapfel, G. A.; Korelc, J.
31
2003
A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis. Zbl 1100.74597
Holzapfel, G. A.; Gasser, T. C.; Stadler, M.
30
2002
On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019
Holzapfel, Gerhard A.; Ogden, Ray W.
29
2009
Entropy elasticity of isotropic rubber-like solids at finite strains. Zbl 0890.73022
Holzapfel, G. A.; Simo, J. C.
27
1996
Geometrically nonlinear and consistently linearized embedded strong discontinuity models for 3D problems with an application to the dissection analysis of soft biological tissues. Zbl 1088.74541
Gasser, Thomas C.; Holzapfel, Gerhard A.
26
2003
Numerical aspects of anisotropic failure in soft biological tissues favor energy-based criteria: a rate-dependent anisotropic crack phase-field model. Zbl 1439.74199
Gültekin, Osman; Dal, Hüsnü; Holzapfel, Gerhard A.
26
2018
On the tension-compression switch in soft fibrous solids. Zbl 1406.74496
Holzapfel, Gerhard A.; Ogden, Ray W.
24
2015
Constitutive framework for the modeling of damage in collagenous soft tissues with application to arterial walls. Zbl 1243.74119
Balzani, Daniel; Brinkhues, Sarah; Holzapfel, Gerhard A.
22
2012
A phase-field approach to model fracture of arterial walls: theory and finite element analysis. Zbl 1439.74198
Gültekin, Osman; Dal, Hüsnü; Holzapfel, Gerhard A.
22
2016
On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156
Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda
18
2019
Transversely isotropic membrane shells with application to mitral valve mechanics. Constitutive modelling and finite element implementation. Zbl 1194.74203
Prot, V.; Skallerud, B.; Holzapfel, G. A.
16
2007
Subdivision schemes for smooth contact surfaces of arbitrary mesh topology in 3D. Zbl 1060.74641
Stadler, M.; Holzapfel, G. A.
15
2004
On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons. Zbl 1373.74020
Holzapfel, Gerhard A.; Ogden, Ray W.
15
2017
Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction. Zbl 1528.92014
Eriksson, T. S.; Prassl, A. J.; Plank, G.; Holzapfel, G. A.
15
2013
Computational method for excluding fibers under compression in modeling soft fibrous solids. Zbl 1406.74499
Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A.
15
2016
Large strain analysis of soft biological membranes: Formulation and finite element analysis. Zbl 0890.73051
Holzapfel, Gerhard A.; Eberlein, Robert; Wriggers, Peter; Weizsäcker, Hans W.
14
1996
Determination of material models for arterial walls from uniaxial extension tests and histological structure. Zbl 1445.92024
Holzapfel, Gerhard A.
14
2006
Experiments and mechanochemical modeling of smooth muscle contraction: significance of filament overlap. Zbl 1336.92034
Murtada, Saeil C.; Arner, Anders; Holzapfel, Gerhard A.
13
2012
A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation. Zbl 1146.74342
Gasser, T. C.; Holzapfel, G. A.
13
2002
A mechanochemical 3D continuum model for smooth muscle contraction under finite strains. Zbl 1411.92020
Stålhand, Jonas; Klarbring, A.; Holzapfel, G. A.
13
2011
A phenomenological model for atherosclerotic plaque growth and rupture. Zbl 1439.92072
Zohdi, T. I.; Holzapfel, G. A.; Berger, S. A.
13
2004
Finite element modeling of balloon angioplasty by considering overstretch of remnant non-diseased tissues in lesions. Zbl 1175.74055
Gasser, T. Christian; Holzapfel, Gerhard A.
12
2007
Stress-modulated collagen fiber remodeling in a human carotid bifurcation. Zbl 1451.92047
Hariton, I.; deBotton, G.; Gasser, T. C.; Holzapfel, G. A.
12
2007
Modeling the propagation of arterial dissection. Zbl 1187.74004
Gasser, T. Christian; Holzapfel, Gerhard A.
11
2006
A phase-field model for fracture of unidirectional fiber-reinforced polymer matrix composites. Zbl 1462.74137
Denli, Funda Aksu; Gültekin, Osman; Holzapfel, Gerhard A.; Dal, Hüsnü
11
2020
An efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterials. Zbl 1439.74083
Zhang, Will; Capilnasiu, Adela; Sommer, Gerhard; Holzapfel, Gerhard A.; Nordsletten, David A.
11
2020
An exponential constitutive model excluding fibres under compression: application to extension-inflation of a residually stressed carotid artery. Zbl 1401.74244
Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A.
11
2018
A theoretical model for fibroblast-controlled growth of saccular cerebral aneurysms. Zbl 1400.92097
Kroon, Martin; Holzapfel, Gerhard A.
11
2009
Biomechanics of soft tissue in cardiovascular systems. Lecture notes for an advanced school on “Biomechanics of soft tissue”, Udine, Italy, September 10–14, 2001. Zbl 1030.00054
9
2003
Structural and numerical models for the (visco)elastic response of arterial walls with residual stresses. Zbl 1151.74383
Holzapfel, Gerhard A.
9
2003
Classical and all-floating FETI methods for the simulation of arterial tissues. Zbl 1352.74187
Augustin, Christoph M.; Holzapfel, Gerhard A.; Steinbach, Olaf
9
2014
A model for saccular cerebral aneurysm growth by collagen fibre remodelling. Zbl 1455.92027
Kroon, Martin; Holzapfel, Gerhard A.
9
2007
On the quasi-incompressible finite element analysis of anisotropic hyperelastic materials. Zbl 1464.74177
Gültekin, Osman; Dal, Hüsnü; Holzapfel, Gerhard A.
8
2019
Modeling the porous and viscous responses of human brain tissue behavior. Zbl 1506.74204
Comellas, Ester; Budday, Silvia; Pelteret, Jean-Paul; Holzapfel, Gerhard A.; Steinmann, Paul
8
2020
Modeling the dispersion effects of contractile fibers in smooth muscles. Zbl 1225.74057
Murtada, Sae-Il; Kroon, Martin; Holzapfel, Gerhard A.
7
2010
Anisotropic finite strain viscoelasticity: constitutive modeling and finite element implementation. Zbl 1474.74031
Liu, Hongliang; Holzapfel, Gerhard A.; Skallerud, Bjørn H.; Prot, Victorien
7
2019
Multiscale modeling of fiber recruitment and damage with a discrete fiber dispersion method. Zbl 1477.74098
Li, Kewei; Holzapfel, Gerhard A.
7
2019
Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues. Zbl 1406.74497
Holzapfel, Gerhard A.; Ogden, Raymond W.
7
2017
A finite element implementation of a growth and remodeling model for soft biological tissues: verification and application to abdominal aortic aneurysms. Zbl 1441.74127
Horvat, Nino; Virag, Lana; Holzapfel, Gerhard A.; Sorić, Jurica; Karšaj, Igor
6
2019
On the bending and stretching elasticity of biopolymer filaments. Zbl 1293.74025
Holzapfel, Gerhard A.; Ogden, Ray W.
6
2011
Estimation of the distributions of anisotropic, elastic properties and wall stresses of saccular cerebral aneurysms by inverse analysis. Zbl 1174.74004
Kroon, Martin; Holzapfel, Gerhard A.
5
2008
Methods to compute 3D residual stress distributions in hyperelastic tubes with application to arterial walls. Zbl 1231.74309
Bustamante, R.; Holzapfel, G. A.
5
2010
Statistical approach for a continuum description of damage evolution in soft collagenous tissues. Zbl 1423.74632
Schmidt, Thomas; Balzani, Daniel; Holzapfel, Gerhard A.
5
2014
Elastic properties of anisotropic vascular membranes examined by inverse analysis. Zbl 1229.74098
Kroon, Martin; Holzapfel, Gerhard A.
4
2009
Multi-segment FEA of the human lumbar spine including the heterogeneity of the annulus fibrosus. Zbl 1138.74370
Eberlein, R.; Holzapfel, G. A.; Fröhlich, M.
4
2004
Hermitian-method for the nonlinear analysis of arbitrary thin shell structures. Zbl 0746.73011
Holzapfel, G. A.
4
1991
A new axisymmetrical membrane element for anisotropic, finite strain analysis of arteries. Zbl 0856.73064
Holzapfel, G. A.; Eberlein, R.; Wriggers, P.; Weizsäcker, H. W.
4
1996
Investigating the role of smooth muscle cells in large elastic arteries: A finite element analysis. Zbl 1412.92069
Murtada, Sae-Il; Holzapfel, Gerhard A.
4
2014
Smooth contact strategies with emphasis on the modeling of balloon angioplasty with stenting. Zbl 1195.74115
Kiousis, D. E.; Gasser, T. C.; Holzapfel, G. A.
4
2008
Fully coupled thermomechanical behaviour of viscoelastic solids treated with finite elements. Zbl 0899.73533
Holzapfel, G. A.; Reiter, G.
3
1995
Modelling the growth and stabilization of cerebral aneurysms. Zbl 1163.92019
Watton, Paul N.; Ventikos, Yiannis; Holzapfel, Gerhard A.
3
2009
Biomechanics: trends in modeling and simulation. Zbl 1370.92012
3
2017
A discrete approach for modeling degraded elastic fibers in aortic dissection. Zbl 1506.74214
Rolf-Pissarczyk, Malte; Li, Kewei; Fleischmann, Dominik; Holzapfel, Gerhard A.
3
2021
Necking phenomena of a fiber-reinforced bad modeled by multisurface plasticity. Zbl 1039.74006
Gasser, T. C.; Holzapfel, G. A.
2
2003
A new two-point deformation tensor and its relation to the classical kinematical framework and the stress concept. Zbl 1076.74002
Böck, Nikolaus; Holzapfel, Gerhard A.
2
2004
A damage model for collagen fibres with an application to collagenous soft tissues. Zbl 1472.74161
Holzapfel, Gerhard A.; Ogden, Ray W.
2
2020
Automated model discovery for skin: discovering the best model, data, and experiment. Zbl 07737578
Linka, Kevin; Buganza Tepole, Adrian; Holzapfel, Gerhard A.; Kuhl, Ellen
2
2023
A shear deformation shell theory for finite rotations and its numerical solution with the finite-difference method. Zbl 0850.73161
Holzapfel, G. A.
1
1992
Multiscale soft tissue mechanics and mechanobiology. State-of-the-art modeling. Zbl 1380.92004
1
2018
Length adaptation of smooth muscle contractile filaments in response to sustained activation. Zbl 1343.92172
Stålhand, Jonas; Holzapfel, Gerhard A.
1
2016
A brief review on computational modeling of rupture in soft biological tissues. Zbl 1493.74075
Gültekin, Osman; Holzapfel, Gerhard A.
1
2018
Multiscale numerical analyses of arterial tissue with embedded elements in the finite strain regime. Zbl 1506.74205
Dalbosco, Misael; Carniel, Thiago A.; Fancello, Eduardo A.; Holzapfel, Gerhard A.
1
2021
Stochastic modeling of inhomogeneities in the aortic wall and uncertainty quantification using a Bayesian encoder-decoder surrogate. Zbl 1507.74010
Ranftl, Sascha; Rolf-Pissarczyk, Malte; Wolkerstorfer, Gloria; Pepe, Antonio; Egger, Jan; von der Linden, Wolfgang; Holzapfel, Gerhard A.
1
2022
Automated model discovery for skin: discovering the best model, data, and experiment. Zbl 07737578
Linka, Kevin; Buganza Tepole, Adrian; Holzapfel, Gerhard A.; Kuhl, Ellen
2
2023
Stochastic modeling of inhomogeneities in the aortic wall and uncertainty quantification using a Bayesian encoder-decoder surrogate. Zbl 1507.74010
Ranftl, Sascha; Rolf-Pissarczyk, Malte; Wolkerstorfer, Gloria; Pepe, Antonio; Egger, Jan; von der Linden, Wolfgang; Holzapfel, Gerhard A.
1
2022
A discrete approach for modeling degraded elastic fibers in aortic dissection. Zbl 1506.74214
Rolf-Pissarczyk, Malte; Li, Kewei; Fleischmann, Dominik; Holzapfel, Gerhard A.
3
2021
Multiscale numerical analyses of arterial tissue with embedded elements in the finite strain regime. Zbl 1506.74205
Dalbosco, Misael; Carniel, Thiago A.; Fancello, Eduardo A.; Holzapfel, Gerhard A.
1
2021
A phase-field model for fracture of unidirectional fiber-reinforced polymer matrix composites. Zbl 1462.74137
Denli, Funda Aksu; Gültekin, Osman; Holzapfel, Gerhard A.; Dal, Hüsnü
11
2020
An efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterials. Zbl 1439.74083
Zhang, Will; Capilnasiu, Adela; Sommer, Gerhard; Holzapfel, Gerhard A.; Nordsletten, David A.
11
2020
Modeling the porous and viscous responses of human brain tissue behavior. Zbl 1506.74204
Comellas, Ester; Budday, Silvia; Pelteret, Jean-Paul; Holzapfel, Gerhard A.; Steinmann, Paul
8
2020
A damage model for collagen fibres with an application to collagenous soft tissues. Zbl 1472.74161
Holzapfel, Gerhard A.; Ogden, Ray W.
2
2020
On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156
Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda
18
2019
On the quasi-incompressible finite element analysis of anisotropic hyperelastic materials. Zbl 1464.74177
Gültekin, Osman; Dal, Hüsnü; Holzapfel, Gerhard A.
8
2019
Anisotropic finite strain viscoelasticity: constitutive modeling and finite element implementation. Zbl 1474.74031
Liu, Hongliang; Holzapfel, Gerhard A.; Skallerud, Bjørn H.; Prot, Victorien
7
2019
Multiscale modeling of fiber recruitment and damage with a discrete fiber dispersion method. Zbl 1477.74098
Li, Kewei; Holzapfel, Gerhard A.
7
2019
A finite element implementation of a growth and remodeling model for soft biological tissues: verification and application to abdominal aortic aneurysms. Zbl 1441.74127
Horvat, Nino; Virag, Lana; Holzapfel, Gerhard A.; Sorić, Jurica; Karšaj, Igor
6
2019
Numerical aspects of anisotropic failure in soft biological tissues favor energy-based criteria: a rate-dependent anisotropic crack phase-field model. Zbl 1439.74199
Gültekin, Osman; Dal, Hüsnü; Holzapfel, Gerhard A.
26
2018
An exponential constitutive model excluding fibres under compression: application to extension-inflation of a residually stressed carotid artery. Zbl 1401.74244
Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A.
11
2018
Multiscale soft tissue mechanics and mechanobiology. State-of-the-art modeling. Zbl 1380.92004
1
2018
A brief review on computational modeling of rupture in soft biological tissues. Zbl 1493.74075
Gültekin, Osman; Holzapfel, Gerhard A.
1
2018
On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons. Zbl 1373.74020
Holzapfel, Gerhard A.; Ogden, Ray W.
15
2017
Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues. Zbl 1406.74497
Holzapfel, Gerhard A.; Ogden, Raymond W.
7
2017
Biomechanics: trends in modeling and simulation. Zbl 1370.92012
3
2017
A phase-field approach to model fracture of arterial walls: theory and finite element analysis. Zbl 1439.74198
Gültekin, Osman; Dal, Hüsnü; Holzapfel, Gerhard A.
22
2016
Computational method for excluding fibers under compression in modeling soft fibrous solids. Zbl 1406.74499
Li, Kewei; Ogden, Ray W.; Holzapfel, Gerhard A.
15
2016
Length adaptation of smooth muscle contractile filaments in response to sustained activation. Zbl 1343.92172
Stålhand, Jonas; Holzapfel, Gerhard A.
1
2016
On the tension-compression switch in soft fibrous solids. Zbl 1406.74496
Holzapfel, Gerhard A.; Ogden, Ray W.
24
2015
Classical and all-floating FETI methods for the simulation of arterial tissues. Zbl 1352.74187
Augustin, Christoph M.; Holzapfel, Gerhard A.; Steinbach, Olaf
9
2014
Statistical approach for a continuum description of damage evolution in soft collagenous tissues. Zbl 1423.74632
Schmidt, Thomas; Balzani, Daniel; Holzapfel, Gerhard A.
5
2014
Investigating the role of smooth muscle cells in large elastic arteries: A finite element analysis. Zbl 1412.92069
Murtada, Sae-Il; Holzapfel, Gerhard A.
4
2014
Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction. Zbl 1528.92014
Eriksson, T. S.; Prassl, A. J.; Plank, G.; Holzapfel, G. A.
15
2013
Constitutive framework for the modeling of damage in collagenous soft tissues with application to arterial walls. Zbl 1243.74119
Balzani, Daniel; Brinkhues, Sarah; Holzapfel, Gerhard A.
22
2012
Experiments and mechanochemical modeling of smooth muscle contraction: significance of filament overlap. Zbl 1336.92034
Murtada, Saeil C.; Arner, Anders; Holzapfel, Gerhard A.
13
2012
Perspectives on biological growth and remodeling. Zbl 1270.74134
Ambrosi, D.; Ateshian, G. A.; Arruda, E. M.; Cowin, S. C.; Dumais, J.; Goriely, A.; Holzapfel, G. A.; Humphrey, J. D.; Kemkemer, R.; Kuhl, E.; Olberding, J. E.; Taber, L. A.; Garikipati, K.
81
2011
A mechanochemical 3D continuum model for smooth muscle contraction under finite strains. Zbl 1411.92020
Stålhand, Jonas; Klarbring, A.; Holzapfel, G. A.
13
2011
On the bending and stretching elasticity of biopolymer filaments. Zbl 1293.74025
Holzapfel, Gerhard A.; Ogden, Ray W.
6
2011
Constitutive modelling of arteries. Zbl 1197.74075
Holzapfel, Gerhard A.; Ogden, Ray W.
83
2010
Modeling the dispersion effects of contractile fibers in smooth muscles. Zbl 1225.74057
Murtada, Sae-Il; Kroon, Martin; Holzapfel, Gerhard A.
7
2010
Methods to compute 3D residual stress distributions in hyperelastic tubes with application to arterial walls. Zbl 1231.74309
Bustamante, R.; Holzapfel, G. A.
5
2010
Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Zbl 1185.74060
Holzapfel, Gerhard A.; Ogden, Ray W.
121
2009
On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework. Zbl 1257.74019
Holzapfel, Gerhard A.; Ogden, Ray W.
29
2009
A theoretical model for fibroblast-controlled growth of saccular cerebral aneurysms. Zbl 1400.92097
Kroon, Martin; Holzapfel, Gerhard A.
11
2009
Elastic properties of anisotropic vascular membranes examined by inverse analysis. Zbl 1229.74098
Kroon, Martin; Holzapfel, Gerhard A.
4
2009
Modelling the growth and stabilization of cerebral aneurysms. Zbl 1163.92019
Watton, Paul N.; Ventikos, Yiannis; Holzapfel, Gerhard A.
3
2009
Estimation of the distributions of anisotropic, elastic properties and wall stresses of saccular cerebral aneurysms by inverse analysis. Zbl 1174.74004
Kroon, Martin; Holzapfel, Gerhard A.
5
2008
Smooth contact strategies with emphasis on the modeling of balloon angioplasty with stenting. Zbl 1195.74115
Kiousis, D. E.; Gasser, T. C.; Holzapfel, G. A.
4
2008
Transversely isotropic membrane shells with application to mitral valve mechanics. Constitutive modelling and finite element implementation. Zbl 1194.74203
Prot, V.; Skallerud, B.; Holzapfel, G. A.
16
2007
Finite element modeling of balloon angioplasty by considering overstretch of remnant non-diseased tissues in lesions. Zbl 1175.74055
Gasser, T. Christian; Holzapfel, Gerhard A.
12
2007
Stress-modulated collagen fiber remodeling in a human carotid bifurcation. Zbl 1451.92047
Hariton, I.; deBotton, G.; Gasser, T. C.; Holzapfel, G. A.
12
2007
A model for saccular cerebral aneurysm growth by collagen fibre remodelling. Zbl 1455.92027
Kroon, Martin; Holzapfel, Gerhard A.
9
2007
A polyconvex framework for soft biological tissues. Adjustment to experimental data. Zbl 1120.74632
Balzani, D.; Neff, P.; Schröder, J.; Holzapfel, G. A.
88
2006
Brain tissue deforms similarly to filled elastomers and follows consolidation theory. Zbl 1162.74303
Franceschini, G.; Bigoni, D.; Regitnig, P.; Holzapfel, G. A.
36
2006
3D crack propagation in unreinforced concrete: A two-step algorithm for tracking 3D crack paths. Zbl 1154.74376
Gasser, Thomas C.; Holzapfel, Gerhard A.
34
2006
Determination of material models for arterial walls from uniaxial extension tests and histological structure. Zbl 1445.92024
Holzapfel, Gerhard A.
14
2006
Modeling the propagation of arterial dissection. Zbl 1187.74004
Gasser, T. Christian; Holzapfel, Gerhard A.
11
2006
Modeling 3D crack propagation in unreinforced concrete using PUFEM. Zbl 1176.74180
Gasser, Thomas C.; Holzapfel, Gerhard A.
42
2005
Subdivision schemes for smooth contact surfaces of arbitrary mesh topology in 3D. Zbl 1060.74641
Stadler, M.; Holzapfel, G. A.
15
2004
A phenomenological model for atherosclerotic plaque growth and rupture. Zbl 1439.92072
Zohdi, T. I.; Holzapfel, G. A.; Berger, S. A.
13
2004
Multi-segment FEA of the human lumbar spine including the heterogeneity of the annulus fibrosus. Zbl 1138.74370
Eberlein, R.; Holzapfel, G. A.; Fröhlich, M.
4
2004
A new two-point deformation tensor and its relation to the classical kinematical framework and the stress concept. Zbl 1076.74002
Böck, Nikolaus; Holzapfel, Gerhard A.
2
2004
\(C^{n}\) continuous modelling of smooth contact surfaces using NURBS and application to 2D problems. Zbl 1062.74628
Stadler, M.; Holzapfel, G. A.; Korelc, J.
31
2003
Geometrically nonlinear and consistently linearized embedded strong discontinuity models for 3D problems with an application to the dissection analysis of soft biological tissues. Zbl 1088.74541
Gasser, Thomas C.; Holzapfel, Gerhard A.
26
2003
Biomechanics of soft tissue in cardiovascular systems. Lecture notes for an advanced school on “Biomechanics of soft tissue”, Udine, Italy, September 10–14, 2001. Zbl 1030.00054
9
2003
Structural and numerical models for the (visco)elastic response of arterial walls with residual stresses. Zbl 1151.74383
Holzapfel, Gerhard A.
9
2003
Necking phenomena of a fiber-reinforced bad modeled by multisurface plasticity. Zbl 1039.74006
Gasser, T. C.; Holzapfel, G. A.
2
2003
A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis. Zbl 1100.74597
Holzapfel, G. A.; Gasser, T. C.; Stadler, M.
30
2002
A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation. Zbl 1146.74342
Gasser, T. C.; Holzapfel, G. A.
13
2002
Nonlinear solid mechanics. A continuum approach for engineering. Zbl 0980.74001
Holzapfel, Gerhard A.
536
2000
A new constitutive framework for arterial wall mechanics and a comparative study of material models. Zbl 1023.74033
Holzapfel, Gerhard A.; Gasser, Thomas C.; Ogden, Ray W.
349
2000
A new viscoelastic constitutive model for continuous media at finite thermomechanical changes. Zbl 0909.73038
Holzapfel, Gerhard A.; Simo, Juan C.
56
1996
On large strain viscoelasticity: Continuum formulation and finite element applications to elastomeric structures. Zbl 0920.73064
Holzapfel, Gerhard A.
47
1996
Entropy elasticity of isotropic rubber-like solids at finite strains. Zbl 0890.73022
Holzapfel, G. A.; Simo, J. C.
27
1996
Large strain analysis of soft biological membranes: Formulation and finite element analysis. Zbl 0890.73051
Holzapfel, Gerhard A.; Eberlein, Robert; Wriggers, Peter; Weizsäcker, Hans W.
14
1996
A new axisymmetrical membrane element for anisotropic, finite strain analysis of arteries. Zbl 0856.73064
Holzapfel, G. A.; Eberlein, R.; Wriggers, P.; Weizsäcker, H. W.
4
1996
Fully coupled thermomechanical behaviour of viscoelastic solids treated with finite elements. Zbl 0899.73533
Holzapfel, G. A.; Reiter, G.
3
1995
A shear deformation shell theory for finite rotations and its numerical solution with the finite-difference method. Zbl 0850.73161
Holzapfel, G. A.
1
1992
Hermitian-method for the nonlinear analysis of arbitrary thin shell structures. Zbl 0746.73011
Holzapfel, G. A.
4
1991
all top 5

Cited by 2,352 Authors

52 Holzapfel, Gerhard Alfred
30 Kuhl, Ellen
22 Ogden, Raymond William
22 Quarteroni, Alfio M.
21 Merodio, Jose
20 Wriggers, Peter
19 Steinmann, Paul
18 Balzani, Daniel
18 Schröder, Jörg
16 Horgan, Cornelius Oliver
15 Goriely, Alain
15 Murphy, Jeremiah G.
15 Saccomandi, Giuseppe
14 Bazilevs, Yuri
13 Dede’, Luca
13 Doblaré, Manuel
13 Federico, Salvatore
13 Vergara, Christian
13 Wall, Wolfgang A.
12 de Lorenzis, Laura
12 Gil, Antonio J.
12 Grillo, Alfio
11 Destrade, Michel
11 Gross, Michael B.
11 Hughes, Thomas J. R.
11 Peña, Estefanía
10 Bonet, Javier
10 Dal, Hüsnü
10 Hsu, Ming-Chen
10 Humphrey, Jay D.
10 Javili, Ali
10 Martínez, Miguel Ángel
10 Nordsletten, David A.
10 Rubin, Miles B.
10 Ruiz-Baier, Ricardo
10 Shariff, M. H. B. M.
10 Wick, Thomas
9 Betsch, Peter
9 Gizzi, Alessio
9 Kaliske, Michael
9 Neff, Patrizio
9 Rabczuk, Timon
9 Sauer, Roger A.
8 Buganza Tepole, Adrián
8 Bustamante, Roger
8 Gao, Hao
8 Göktepe, Serdar
8 Luo, Xiaoyu
8 Menzel, Andreas M.
8 Pence, Thomas J.
8 Sacks, Michael S.
7 Augustin, Christoph M.
7 Demirkoparan, Hasan
7 Dietzsch, Julian
7 Ehret, Alexander E.
7 Kroon, Martin
7 Latorre, Marcos
7 Marsden, Alison L.
7 Miehe, Christian
7 Plank, Gernot
7 Popp, Alexander
7 Rachowicz, Waldemar
7 Regazzoni, Francesco
7 Rheinbach, Oliver
7 Scacchi, Simone
7 Zdunek, Adam
6 Aldakheel, Fadi
6 Calvo, Begoña
6 Gasser, T. Christian
6 Gee, Michael W.
6 Gültekin, Osman
6 Linder, Christian
6 Lion, Alexander
6 Nardinocchi, Paola
6 Pavarino, Luca Franco
6 Sáez, Pablo
6 Sun, WaiChing
6 Temizer, Ilker
5 Alastrue, Victor
5 Ambati, Marreddy
5 Berjamin, Harold
5 Bordas, Stéphane Pierre Alain
5 Byrne, Helen Mary
5 Cyron, Christian Johannes
5 Dorfmann, Luis
5 Düster, Alexander
5 Gou, Kun
5 Itskov, Mikhail
5 Kiendl, Josef
5 Klarbring, Anders
5 Klawonn, Axel
5 Korobeĭnikov, Sergeĭ Nikolaevich
5 Lee, Chun Hean
5 Linka, Kevin
5 Liu, Gui-Rong
5 Montáns, Francisco-Javier
5 Mosler, Jörn
5 Moulton, Derek E.
5 Nedjar, Boumediene
5 Ortigosa, Rogelio
...and 2,252 more Authors
all top 5

Cited in 131 Serials

278 Computer Methods in Applied Mechanics and Engineering
123 Computational Mechanics
67 International Journal for Numerical Methods in Engineering
64 Journal of the Mechanics and Physics of Solids
60 Journal of Elasticity
59 European Journal of Mechanics. A. Solids
51 Mathematics and Mechanics of Solids
49 International Journal of Engineering Science
38 Acta Mechanica
38 Journal of Theoretical Biology
30 Journal of Computational Physics
23 International Journal of Solids and Structures
23 Journal of Engineering Mathematics
23 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
20 Applied Mathematical Modelling
18 Continuum Mechanics and Thermodynamics
18 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
17 Meccanica
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Archives of Computational Methods in Engineering
13 Computers & Mathematics with Applications
13 International Journal for Numerical Methods in Biomedical Engineering
12 Archive of Applied Mechanics
11 Journal of Fluid Mechanics
10 Mechanics Research Communications
9 Journal of Mathematical Biology
9 Mathematical Biosciences and Engineering
9 GAMM-Mitteilungen
7 Bulletin of Mathematical Biology
7 Mathematics and Computers in Simulation
7 Engineering Analysis with Boundary Elements
7 International Journal of Computational Methods
6 Archive for Rational Mechanics and Analysis
6 Mathematical Biosciences
6 Journal of Computational and Applied Mathematics
6 SIAM Journal on Scientific Computing
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Computers and Fluids
4 Nonlinear Dynamics
4 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 International Journal of Fracture
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Acta Mechanica Sinica
4 Communications in Computational Physics
4 Mathematical Modelling of Natural Phenomena
4 AMM. Applied Mathematics and Mechanics. (English Edition)
3 International Journal of Plasticity
3 Wave Motion
3 Applied Mathematics and Computation
3 Communications in Numerical Methods in Engineering
3 Structural and Multidisciplinary Optimization
2 Applied Mathematics and Mechanics. (English Edition)
2 Mathematical and Computer Modelling
2 Journal of Scientific Computing
2 Computational Mathematics and Mathematical Physics
2 Journal of Nonlinear Science
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Mathematical Problems in Engineering
2 Multibody System Dynamics
2 Vietnam Journal of Mathematics
2 European Journal of Mechanics. B. Fluids
2 Communications in Nonlinear Science and Numerical Simulation
2 Sādhanā
2 Mathematics and Mechanics of Complex Systems
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Mathematics in Engineering
1 Archives of Mechanics
1 Computer Physics Communications
1 Fluid Dynamics
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 International Journal for Numerical Methods in Fluids
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Quarterly of Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 Applied Numerical Mathematics
1 Finite Elements in Analysis and Design
1 Numerical Methods for Partial Differential Equations
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Journal of Visualization & Computer Animation
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Global Optimization
1 Computational Statistics
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Physics of Fluids
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 Journal of Applied Mechanics and Technical Physics
1 Chaos
...and 31 more Serials

Citations by Year

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