Finite element formulation of growing hyperelastic biomaterials - application to organ morphogenesis

Abstract

This study deals with the computational modeling of growth phenomena typically encountered in biomaterials based on the continuum mechanics. Constitutive law of growing hyperelastic material is described as an initial value problem analogous to the finite strain elasto-plasticity theory. The implementation of this constitutive law into finite element methods is detailed. Some applications to the development of living tissue are presented.