A Mechanobiologically Equilibrated Kinematic Growth Model for Soft Tissues

Abstract

The concept of mechanobiological equilibrium (MBE) is incorporated into the finite kinematic growth (KG) model for growth and remodelling (G&R), in order to propose an alternative, rate-independent formulation (MBE-KG). The method proposed yields non-transient solutions to G&R problems and quasi-equilibrated evolutions when imposed perturbations are slow relative to the adaptive process. We perform a finite element implementation of the method and show its performance on some illustrative problems involving the simulation of aneurysms on a single-layered artery model.