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 …

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 …

Cardiovascular diseases have a major impact in Western countries. Mathematical models
and numerical simulations can aid the understanding of physiological and pathological …

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 …

Abstract The Holzapfel–Gasser–Ogden (HGO) model for anisotropic hyperelastic behaviour
of collagen fibre reinforced materials was initially developed to describe the elastic …

The main goal of this contribution is to provide a simple method for constructing transversely
isotropic polyconvex functions suitable for the description of biological soft tissues. The …

The goals of this paper are (i) to re-examine the constitutive law for the description of the
(passive) highly nonlinear and anisotropic response of healthy elastic arteries introduced …

A biomechanical model for traumatic brain injury and soft tissue damage is presented. A
variational constitutive model for soft biological tissues is utilized to reproduce axonal …

Clinical studies have identified factors such as the stent design and the deployment
technique that are one cause for the success or failure of angioplasty treatments. In addition …

A stress-driven model for the relation between the collagen morphology and the loading
conditions in arterial walls is proposed. We assume that the two families of collagen fibers in …