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