Sei Matsuura

Micromechanical consideration on the theory of elasto-plasticity at finite deformations

Abstract J 2 -based phenomenological plasticity has unchallengedly dominated the scene of the practical applications. However, when the finite deformations are involved, the proper way to generalize the theory is still under the debate. The objective of this work is to examine the phenomenological theory of elasto-plasticity at finite deformations in view of micromechanical plasticity which is based on the crystal plasticity and the averaging procedure. Both macro and macroscopic constitutive relations are discussed in terms of the multiplicative decomposition of deformation gradient. Plastic spin and backstress in phenomenological plasticity are investigated as the averaged quantities of microscopic counterparts. Instead of using the mathematical representation, a certain kinematic condition is assumed to define plastic spin. We, then, discuss the relation between the phenomenological and the micromechanical theories of elasto-plasticity.