A model of finite strain viscoplasticity based on unified constitutive equations. Theoretical and computational considerations with applications to shells

摘要

A model of multiplicative finite strain viscoplasticity is developed. Hereby the elastic internal potnetial is assumed to depend quadratically on the elastic strian measure C_e by means of corresponding invariants. Hence, possible extension of the model to take anisotropy into account is straightforward. The evolution equation of the unified type due to Bodner and partom [ASME J. Appl. Mech. 42 (1975) 385] are modified so as to fit into the framework adopted. The numerical treatment of the problem is fully developed.