2008 Volume 2008 Pages 20080024
A method of parameter identification by means of numerical material test data is developed for anisotropic hyperelastic materials within the framework of the homogenization method for heterogeneous solids with periodic microstructures. The method is a standard least-square scheme, but is based on the tensor representation of the macroscopic nominal stress and the macroscopic deformation gradient calculated from numerical material tests. The specific error function is proposed for approximating the anisotropic hyperelastic constitutive equation which is linear in its material parameters, whereas a set of loading patterns relevant to parameter identification is determined on the analogy of the method for homogenized elasticity constants in linear elasticity. Several numerical investigations are performed to validate the proposed method and demonstrate its promise and potential.
