MICROMECHANICAL MODELING OF LARGE PLASTIC-DEFORMATION AND TEXTURE EVOLUTION IN SEMICRYSTALLINE POLYMERS

A MICROMECHANICALLY-BASED composite model is proposed to study large plastic deformation and texture evolution in semi-crystalline polymers. The microstructure of many semi-crystalline polymers consists of co-existing crystalline and amorphous phases locally associated with each other in a fine plate-like morphological structure. An aggregate of two-phase composite inclusions is used to model these materials. Special consideration is given to molecular chain inextensibility within the crystalline phase. The introduction of a back stress tensor in the constitutive model of the amorphous phase accounts for hardening due to deformation-induced molecular alignment. Interface compatibility and traction equilibrium are enforced within each composite inclusion. A Sachs-like model and two newly-developed self-consistent-like hybrid models are proposed to relate volume-average deformation and stress within the two-phase composite inclusion to the remote (macroscopic) fields. Applications of these composite models are made to predict stress-strain behavior and texture evolution in initially isotropic high density polyethylene (HDPE) under different modes of straining.