Integrity basis of polyconvex invariants for modeling hyperelastic orthotropic materials — Application to the mechanical response of passive ventricular myocardium

Abstract The present paper proposes a new Strain Energy Function (SEF) for modeling​ incompressible orthotropic hyperelastic materials with specific application to the mechanical response of passive ventricular myocardium. In order build our SEF, we have followed classical strategy based on exponential functions, but chosen work polyconvex invariants instead standard ones. Actually, in context problems, polyconvexity strain energy density is considered as prerequisite ensuring existence solutions. By selecting set invariants, demonstrate that model can predict experimental data 6 different shear modes applied