|Authors||T. Thorvaldsen, J. Sundnes and H. Osnes|
|Title||Non-Linear Elasticity With Applications to Heart Mechanics|
|Project(s)||No Simula project|
|Publication Type||Technical reports|
|Year of Publication||2005|
|Publisher||Simula Research Laboratory|
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.