Fortran programs and Abaqus subroutines: Higher-order and higher precision numerical approximations of finite strain elasticity moduli

This dataset contains Fortran programs and subroutines for analytical and approximate implementations of hyperelastic constitutive models in terms of the first invariant of the left/right-Cauchy-Green tensor. The approximation methods are novel in that they exploit higher-precision arithmetic (quadruple precision) and higher-order approximations. The programs may be used to assess the elasticity moduli outwith Finite Element simulations, for the purpose of debugging or numerical study. The user-subroutines may be directly used (by advanced users) within Abaqus/Standard, having been tested with: Abaqus/Standard v2016, Microsoft Visual Studio 2010 and Intel Parallel Studio XE 2013.