It is a common issue in solid deformation simulation that material models will collapse and even permanently invert. In this paper, we present an algorithm for finite element simulation of isotropic tetrahedral mesh that is capable of robustly restoring from inverted configuration to uninverted state in the deformation process. We perform singular value decomposition of deformation gradient to ...

Porcine aortic valve leaflets are comprised of three layers, each of which has a different composition and consequently, different mechanical properties. Each layer exhibits non-linear stress-strain behaviour and is modelled using a hyperelastic material model. Our objective is to determine the mechanical properties of each layer from experimental force-indentation depth data, ensuring that the...

The objective of this research was to develop realistic computational models for soft tissues subjected to finite deformation and failure, and to test these models in the context of numerical simulations of penetrating trauma injuries. A transversely isotropic hyperelastic model with strain-based failure criteria was used to represent the behavior of anisotropic soft tissue. The constitutive mo...

We propose in this paper an Eulerian finite element approximation of a coupled chemical fluid-structure interaction problem arising in the study of mesoscopic cardiac biomechanics. We simulate the active response of a myocardial cell (here considered as an anisotropic, hyperelastic, and incompressible material), the propagation of calcium concentrations inside it, and the presence of a surround...

This article proposes a hyperelastic 3D deformable template for the segmentation of soft structures. It relies on a template, which is a topological, geometrical and material model of the structure to segment. The template is modeled as an elastic body which is deformed by forces derived from the image. The proposed model is based on the nonlinear three-dimensional elasticity problem with a bou...

For an isotropic hyperelastic material, the free energy per unit reference volume, ψ, may be expressed in terms of an isotropic function ψ = ψ̄(E) of the logarithmic elastic strain E = lnV. We have conducted numerical experiments using molecular dynamics simulations of a metallic glass to develop the following simple specialized form of the free energy for circumstances in which one might encoun...

The nonlinear mechanical behavior of tissues that undergo large deformations, e.g. the breast, is characterized by hyperelastic parameters. These parameters take into account both types of nonlinearities: tissue intrinsic nonlinearity and geometric nonlinearity. Elastography technique capable of tissue hyperelastic parameter reconstruction has important clinical applications such as cancer diag...