Finite strain parametric hfgmc prediction of the micromechanical behavior of composite

Finite-strain mechanical behavior of composite materials is of great interest. For example, composite such as reinforced rubber and soft tissues can reach more than 200% of stretch, and therefore a suitable micromechanical analysis tool must be used for the prediction. In order to predict the micro- and macroscale behavior of these composites, the Parametric High-Fidelity-Generalized-Method-of-Cells (P-HFGMC) that has been established for infinitesimal strains is now extended to incorporate for the finite-strain micromechanical analysis of composites. The P-HFGMC is a micromechanical analysis that based on the homogenization technique for periodic materials and provides the global (homogenized-field) response, the local (fluctuation-field) tensor field distributions, and the instantaneous stiffness matrix of the composite. Predictions of the transverse uniaxial tensile-stress-state response, as well as the response to an equally-biaxial compressive deformation-gradient state, of unidirectional composites (UDs) with potential-based energy functions constituents such as the compressible Mooney-Rivlin model (MR) are demonstrated. Both the macroscale (global) transverse first Piola-Kirchhoff stress tensor - deformation gradient response, as well as the tensors distribution (local) within the constituents, are presented.