Hyperelasticity

Hyperelasticity is a constitutive theory within continuum mechanics that describes nonlinear elastic material behavior by defining a strain energy density function whose derivatives with respect to deformation measures yield the associated stress tensors, thereby characterizing reversible elastic deformations in materials such as soft biological tissues under finite strains.

540

Publications

28.6K

Citations

1.2K

Authors

544

Institutions

Publications per year

2017–2026

197

Parents

Computational Solid MechanicsConstitutive ModelingConstitutive RelationsContinuum MechanicsElastic DeformationElastic ThermodynamicsNonlinear Finite Element AnalysisNonlinear MechanicsSoft Tissue Biomechanics

Publications

540

Finite element implementation of incompressible, transversely isotropic hyperelasticity

Jeffrey A. Weiss, Bradley N. Maker, Sanjay Govindjee · Computer Methods in Applied Mechanics and Engineering · 1996 · 807 citations

Engineering, Mechanical Engineering, Physics +13

Fitting hyperelastic models to experimental data

Ray W. Ogden, Giuseppe Saccomandi, Ivonne Sgura · Computational Mechanics · 2004 · 768 citations · Full text

Natural Sciences, Materials Science, Physics +7

A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations

J.C. Simo, M. Ortíz · Computer Methods in Applied Mechanics and Engineering · 1985 · 656 citations

Natural Sciences, Materials Science, Mechanical Engineering +16

Passive Material Properties of Intact Ventricular Myocardium Determined From a Cylindrical Model

Julius M. Guccione, Andrew D. McCulloch, Lewis K. Waldman · Journal of Biomechanical Engineering · 1991 · 617 citations

Natural Sciences, Biophysics, Cardiology +16

A Comparative Study of Several Material Models for Prediction of Hyperelastic Properties: Application to Silicone‐Rubber and Soft Tissues

P.A.L.S. Martins, Renato Natal Jorge, A.J.M. Ferreira · Strain · 2006 · 516 citations

Natural Sciences, Materials Engineering, Materials Science +17

1–5 of 540

Authors

1.2K

AG
Alain Goriely
University of Oxford, United Kingdom
11 publications · 672 citations
11
h-index
CO
Cornelius O. Horgan
University of Virginia, United States
11 publications · 634 citations
11
h-index
GS
Giuseppe Saccomandi
University of Perugia, Italy
10 publications · 1.1K citations
10
h-index
FJ
Francisco J. Montáns
Universidad Politécnica de Madrid, Spain
9 publications · 405 citations
9
h-index
PS
Paul Steinmann
Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
9 publications · 824 citations
9
h-index

1–5 of 1.2K

Institutions

544

1–8 of 544

Venues

Computer Methods in Applied Mechanics and Engineering
36 publications · 3.5K citations
22
h-index
International Journal of Solids and Structures
33 publications · 2.2K citations
21
h-index
Journal of the Mechanics and Physics of Solids
19 publications · 1.6K citations
17
h-index
Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials
18 publications · 962 citations
16
h-index
Computational Mechanics
16 publications · 1.5K citations
16
h-index

1–5