Hyperelastic modelling of arterial layers with distributed collagen fibre orientations

TC Gasser, RW Ogden… - Journal of the royal …, 2006 - royalsocietypublishing.org
Constitutive relations are fundamental to the solution of problems in continuum mechanics,
and are required in the study of, for example, mechanically dominated clinical interventions …

Constitutive modelling of passive myocardium: a structurally based framework for material characterization

GA Holzapfel, RW Ogden - Philosophical Transactions of …, 2009 - royalsocietypublishing.org
In this paper, we first of all review the morphology and structure of the myocardium and
discuss the main features of the mechanical response of passive myocardium tissue, which …

[KNIHA][B] The mathematics and mechanics of biological growth

A Goriely - 2017 - books.google.com
This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

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 …

Determination of layer-specific mechanical properties of human coronary arteries with nonatherosclerotic intimal thickening and related constitutive modeling

GA Holzapfel, G Sommer… - American Journal of …, 2005 - journals.physiology.org
At autopsy, 13 nonstenotic human left anterior descending coronary arteries [71.5±7.3
(mean±SD) yr old] were harvested, and related anamnesis was documented …

Constitutive modelling of arteries

GA Holzapfel, RW Ogden - Proceedings of the Royal …, 2010 - royalsocietypublishing.org
This review article is concerned with the mathematical modelling of the mechanical
properties of the soft biological tissues that constitute the walls of arteries. Many important …

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 …

[PDF][PDF] FEAP-A finite element analysis program

RL Taylor - 2014 - projects.ce.berkeley.edu
During the last several decades, the finite element method has evolved from a linear
structural analysis procedure to a general technique for solving non-linear, transient, partial …

On fibre dispersion modelling of soft biological tissues: a review

GA Holzapfel, RW Ogden… - Proceedings of the …, 2019 - royalsocietypublishing.org
Collagen fibres within fibrous soft biological tissues such as artery walls, cartilage,
myocardiums, corneas and heart valves are responsible for their anisotropic mechanical …

A robust anisotropic hyperelastic formulation for the modelling of soft tissue

DR Nolan, AL Gower, M Destrade, RW Ogden… - Journal of the …, 2014 - Elsevier
Abstract The Holzapfel–Gasser–Ogden (HGO) model for anisotropic hyperelastic behaviour
of collagen fibre reinforced materials was initially developed to describe the elastic …