Hyperelastic energy densities for soft biological tissues: a review

G Chagnon, M Rebouah, D Favier - Journal of Elasticity, 2015 - Springer
Many soft tissues are naturally made of a matrix and fibres that present some privileged
directions. They are known to support large reversible deformations. The mechanical …

The mechanical behavior of skin: Structures and models for the finite element analysis

JM Benítez, FJ Montáns - Computers & Structures, 2017 - Elsevier
Soft biological tissues are complex materials with a large structural variety, with differences
in behavior, but with some common characteristics. Skin is an archetypal soft tissue which …

Mathematical and computational modelling of skin biophysics: a review

G Limbert - Proceedings of the Royal Society A …, 2017 - royalsocietypublishing.org
The objective of this paper is to provide a review on some aspects of the mathematical and
computational modelling of skin biophysics, with special focus on constitutive theories based …

Coupling multi-physics models to cardiac mechanics

DA Nordsletten, SA Niederer, MP Nash… - Progress in biophysics …, 2011 - Elsevier
We outline and review the mathematical framework for representing mechanical deformation
and contraction of the cardiac ventricles, and how this behaviour integrates with other …

[HTML][HTML] Automated model discovery for human cardiac tissue: Discovering the best model and parameters

D Martonová, M Peirlinck, K Linka, GA Holzapfel… - Computer Methods in …, 2024 - Elsevier
For more than half a century, scientists have developed mathematical models to understand
the behavior of the human heart. Today, we have dozens of heart tissue models to choose …

A polyconvex hyperelastic model for fiber-reinforced materials in application to soft tissues

AE Ehret, M Itskov - Journal of Materials Science, 2007 - Springer
In this paper a generalized anisotropic hyperelastic constitutive model for fiber-reinforced
materials is proposed. Collagen fiber alignment in biological tissues is taken into account by …

A novel constitutive model for passive right ventricular myocardium: evidence for myofiber–collagen fiber mechanical coupling

R Avazmohammadi, MR Hill, MA Simon… - … and modeling in …, 2017 - Springer
The function of right ventricle (RV) is recognized to play a key role in the development of
many cardiopulmonary disorders, such as pulmonary arterial hypertension (PAH). Given the …

A new framework for large strain electromechanics based on convex multi-variable strain energies: variational formulation and material characterisation

AJ Gil, R Ortigosa - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
Following the recent work of Bonet et al.(2015), this paper postulates a new convex multi-
variable variational framework for the analysis of Electro Active Polymers (EAPs) in the …

Numerical integration on the sphere and its effect on the material symmetry of constitutive equations—a comparative study

AE Ehret, M Itskov, H Schmid - International journal for …, 2010 - Wiley Online Library
In the present paper, we consider a class of constitutive models based on numerical
integration on the unit sphere. The directional behaviour of the quadrature schemes and its …

Modeling of anisotropic softening phenomena: application to soft biological tissues

AE Ehret, M Itskov - International Journal of Plasticity, 2009 - Elsevier
A thermodynamically consistent dissipative model is proposed to describe softening
phenomena in anisotropic materials. The model is based on a generalized polyconvex …