A finite strain framework for steady-state problems: Hyperelasto-viscoplasticity

A numerical framework for analyzing steady-state elastic–plastic material deformation at finite strains is developed and demonstrated in the present work. The an extension of original method by Dean Hutchinson (1980) develop to analyze crack propagation, under a small strain assumption, which history-dependent response captured through streamline integration. Steady-state problems are encountered numerous engineering processes, studies growth have already been extended include rolling drawing, though within framework. However, investigation such manufacturing where greater than 10% easily develop, requires formulation provide accurate results. proposed work offers efficient extract solution without encountering issues related traditional Lagrangian procedures. Furthermore, also accounts elastic unloading compared many existing schemes as they often restricted rigid plasticity. new employs hyperelastic model, terms Neo-Hookean material, combined with isotropic viscoplastic behavior. not limited any specific nor model plastic has verified comparison analysis conducted ANSYS. benchmark case constitutes plane drawing process thickness specimen reduced it between two circular cylindrical tools.