Finite elastoplastic deformations of space-curved membranes
Under restriction of an isotropic elastic response of deformed lattice, a covariant theory of finite elastoplasticity is developed in principal axes of a pair of deformation tensors. In material description, the tensor pair consists of the plastic deformation tensor and the total deformation Cauchy-Green tensor. The proposed theory is applied to elastoplastic membranes, whose reference and current configurations can be arbitrary space-curved surfaces. Pressure-insensitive von Mises yield criterion and isotropic hardening are considered as a model problem.
covariant theory of finite elastoplasticity
scientific article; zbMATH DE number 881041
scientific article