Numerical simulation data and FORTRAN code to compare the stress response of two transversely isotropic hyperelastic models

We presented the numerical simulation data obtained by implementing a user material subroutine UMAT in the finite element commercial package ABAQUS. The simulation data correspond to the stress response of two transversely isotropic hyperelastic models on homogeneous and non-homogeneous deformations. The first model is the Holzapfel-Gaser-Ogden (HGO) model that only depends on the anisotropic invariant I ̅_4 for the description of the fiber reinforcement. The authors propose the second model that relies on both anisotropic invariants (I ̅_4 and I ̅_5). Since the proposed model is not found in the ABAQUS material library, we presented a FORTRAN code for a user-defined material subroutine UMAT. In addition, we introduced in detail the steps to implement the material models using the attached files in ABAQUS.