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

This study uses a recently developed phase-field approach to model fracture of arterial walls
with an emphasis on aortic tissues. We start by deriving the regularized crack surface to …

We investigate a family of isotropic volumetric-isochoric decoupled strain energies F ↦ W_
eH (F):= W _ eH (U):=\left {μ ke^ k ‖ dev _n U ‖^ 2+ κ 2 ke^ k tr (\log U)^ 2 & if\det F> …

This paper discusses tension–compression asymmetry properties of Ogden hyperelastic
formulations. It is shown that if all negative or all positive Ogden coefficients are used …

Quasi-incompressible behavior is a desired feature in several constitutive models within the
finite elasticity of solids, such as rubber-like materials and some fiber-reinforced soft …

Experimental results have revealed the sophisticated Achilles tendon (AT) structure,
including its material properties and complex geometry. The latter incorporates a twisted …

We give conditions on the strain–energy function of nonlinear anisotropic hyperelastic
materials that ensure compatibility with the classical linear theories of anisotropic elasticity …

A study of the evolution of overburden fractures under the solid-fluid coupling state was
conducted based on the geological and mining characteristics of the coal seam depth, weak …

Remodelling of soft biological tissue is characterized by interacting biochemical and
biomechanical events, which change the tissue's microstructure, and, consequently, its …

In order to avoid the numerical difficulties in locally enforcing the incompressibility constraint
using the displacement formulation of the Finite Element Method, slight compressibility is …