A general finite plasticity model with a smooth elastic-plastic transition and isotropic hardening. A finite element formulation and numerical verification

• Published in: Proceedings in applied mathematics and mechanics Vol. 14; no. 1; pp. 351 - 352
• Main Author: Jabareen, Mahmood
• Format: Journal Article
• Language: English
• Published: Berlin WILEY-VCH Verlag 01.12.2014; WILEY‐VCH Verlag
• ISSN: 1617-7061; 1617-7061
• DOI: 10.1002/pamm.201410163

A number of approaches for finite deformation elastoplasticity with different classes of kinematic decomposition have been published in the literature (e.g. additive split of the Lagrange strain, multiplicative split of the deformation gradient, additive split of the rate of deformation, etc.). In the present work, a general theoretical framework for modeling a smooth elastic inelastic transition for large deformations of rate independent elastic‐plastic and rate dependent elastic‐viscoplastic materials has been proposed. It is well known that in classical rate independent elastic‐plastic models the transition from the elastic regime to the plastic regime is rather sharp, while in the present model this transition is smooth and both rate independent and rate dependent models are characterized by overstress. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)