AuthorsT. Thorvaldsen, J. Sundnes and H. Osnes
TitleNon-Linear Elasticity With Applications to Heart Mechanics
AfilliationScientific Computing
Project(s)No Simula project
StatusPublished
Publication TypeTechnical reports
Year of Publication2005
Number2005-16
PublisherSimula Research Laboratory
Abstract

This report gives an introduction to mathematical and numerical modeling of large-deformation elasticity problems. Basic non-linear continuum mechanics is presented along with a set of hyperelastic material models. Two alternative finite element formulations are described for solving such problems, for compressible and almost incompressible materials. Simulation results are presented for both methods. The elasticity solver is employed in simulating the mechanical behavior of the heart. Mathematical models are presented for describing the passive behavior of cardiac tissue and the active force development. Moreover, we show mathematical models and numerical algorithms for simulating the large deformations of the left ventricle during a heart beat.

Citation KeyThorvaldsen.2005.4