Hyperelastic description of elastomechanic properties of the heart: a new material law and its application.

Knowledge concerning passive mechanic cardiac properties is necessary to model behavior of whole hearts. Commonly, a continuum mechanics based description is chosen in conjunction with the finite element method. The aim of this work is to summarize, derive and evaluate hyperelastic material laws for inhomogeneous, anisotropic myocardium. Hence, different material laws were set up and their parameters were determined taking measurement data in literature into account. The material laws were compared from a theoretical and numerical point of view. Furthermore, the application of continuum mechanics based methods is evaluated concerning aspects of numerical solution and spatial discretisation. In further work the laws will be implemented and integrated in an existing software environment, which allows the calculation of deformations in complex geometries.