Approximation of anisotropic elasticity tensors at the reference state with polyconvex energies

In: Archive of Applied Mechanics, Jg. 79 (2009) ; Nr. 6-7, S. 651-657
ISSN: 1432-0681
Zeitschriftenaufsatz / Fach: Bauwissenschaften
For simulations of boundary value problems using anisotropic hyperelastic constitutive equations at
moderate strains anisotropic polyconvex energies can preferably be used because the existence of minimizers
is then automatically guaranteed. For this reason, we investigate the adaptability of anisotropic polyconvex
energy functions for the phenomenological description of real anisotropicmaterial responses.Herewe focus on
the fitting of the fourth-order tangent moduli near the reference state to some experimental data of anisotropic
materials. We use anisotropic energies which can be generated for arbitrary anisotropy classes and automatically
satisfy the polyconvexity condition. In this paper we consider orthotropic and monoclinic materials.
Keywords Polyconvexity · Anisotropy · Finite elasticity