Pointwise Estimation of Material Parameters for Heterogeneous Nonlinear Hyperelastic Membranes: Computational Development

Abstract

Material parameter estimation plays a crucial role in the physical characterization of biological structures. However, identification of parameters in living organs presents considerable challenge. Take for example human aneurysms. Aneurysmal tissues are anisotropic, heterogeneous and most notably, patient-specific. More often than not, methods of characterizing the tissues need to be non-invasive. Obviously, the traditional controlled specimen experiments (e.g. uni-axial and bi-axial tests) are not suited to such applications.