On the mechanics of large inelastic deformations: Kinematics and constitutive modeling (Q1202367)

We examine the complexities associated with the kinematics of finite elastoplastic deformations and other issues related to the development of constitutive equations. The decomposition of the total strain and strain rate tensors into elastic and plastic constituents is investigated by considering both a multiplicative decomposition of the deformation gradient and an additive decomposition of the deformation vector field. Constitutive equations for the plastic flow are derived by considering both a phenomenological-energy approach and a physically motivated mesomechanical approach based on the double-slip idealization.