Formulation in a constitutive equation of incompressible anisotropic hyperelasticity for a finite element analysis of a blood vessel

Abstract

Elasticity tensor, which is a coefficient of the relationship between a stress rate tensor and its associated strain rate tensor, was derived with material and spatial descriptions for an exponential type of an incompressible transversely isotropic strain energy density function which was used to describe the stress-strain relationship of the blood vessel.