Edit Profile (opens in new tab) Holzapfel, Gerhard Alfred Co-Author Distance Author ID: holzapfel.gerhard-a 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. all top 5 Serials 18 Computer Methods in Applied Mechanics and Engineering 9 Journal of Theoretical Biology 7 European Journal of Mechanics. A. Solids 6 International Journal for Numerical Methods in Engineering 6 Computational Mechanics 5 Journal of the Mechanics and Physics of Solids 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Journal of Elasticity 3 International Journal of Solids and Structures 3 Mathematics and Mechanics of Solids 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Engineering Science 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Mathematical Medicine and Biology 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Acta Mechanica 1 IMA Journal of Applied Mathematics 1 Communications in Numerical Methods in Engineering 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 GAMM-Mitteilungen 1 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 PAMM. Proceedings in Applied Mathematics and Mechanics all top 5 Fields 80 Mechanics of deformable solids (74-XX) 49 Biology and other natural sciences (92-XX) 8 General and overarching topics; collections (00-XX) 7 Numerical analysis (65-XX) 4 Classical thermodynamics, heat transfer (80-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 34 Fields 1,155 Mechanics of deformable solids (74-XX) 456 Biology and other natural sciences (92-XX) 229 Numerical analysis (65-XX) 172 Fluid mechanics (76-XX) 78 Partial differential equations (35-XX) 26 Computer science (68-XX) 25 Statistical mechanics, structure of matter (82-XX) 12 Mechanics of particles and systems (70-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Optics, electromagnetic theory (78-XX) 9 Differential geometry (53-XX) 9 Statistics (62-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Real functions (26-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Integral equations (45-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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