Abstract

Large deformation generalized plasticity is presented in a covariant setting. For this purpose, the tensor analysis on manifolds is utilized and the manifold structure of the body as well of the ambient and the state space is postulated. On the basis of the multiplicative decomposition of the deformation gradient into elastic and plastic parts and the use of hyperelastic stress-strain relations, a large deformation elastoplasticity model is proposed. Computational aspects and the predictions of the model under uniaxial and biaxial straining are also presented.

Keywords

large deformation plasticity, generalized plasticity, tensor analysis on manifolds, covariant formulation, Lie derivative, internal variables, metric of the elastically relaxed space, loading-unloading conditions, time integration algorithm, predictor-corrector algorithm

Authors