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The paper proposes a hyperelasticity-based concept of finite strain plasticity with combined hardening using evolving structure tensors to represent the evolution of elastic and plastic anisotropy in the material. By defining the Helmholtz free energy density and the yield surface as functions of the evolving structure tensors, we are able to describe both evolving elastic and plastic anisotropy, respectively. The model considers also nonlinear kinematic and isotropic hardening and is derived from a thermodynamic framework based on the multiplicative split of the deformation gradient. The kinematic hardening component represents a continuum extension of the classical rheological model of Armstrong-Frederick kinematic hardening. Exploiting the dissipation inequality leads to the important result that the model includes only symmetric tensor-valued internal variables. Evolution of elastic and plastic anisotropy is numerically investigated by means of simulations of cylindrical deep drawing of metal sheets and thermoforming of thermoplastic polymer blends.

MATERIAL MODELLING OF EVOLVING ELASTIC AND PLASTIC ANISOTROPYWITH APPLICATION TO DEEP DRAWING PROCESSES