ON THE REPRESENTATION OF PRANDTL-REUSS TENSORS WITHIN THE FRAMEWORK OF MULTIPLICATIVE ELASTOPLASTICITY

This article presents some aspects of the formulation of finite strain elastoplasticity based on the multiplicative decomposition of the deformation gradient. A ''canonical'' structure of multiplicative elastoplasticity is discussed characterized by a geometrical setting relative to the intermediate configuration in terms of mixed-variant tensors and the exploitation of fundamental dissipation principles. The symmetric fourth-order elastoplastic moduli (so-called 'Prandtl-Reuss-Tensors' of the associative theory) appear as a consequence of the assumed metric-dependence of the flow criterion function in a characteristic structure which seems to be typical for large strain multiplicative elastoplasticity. Particular representations of ''Prandtl-Reuss tensors'' are outlined for isotropic response as well as for decoupled volumetric-isochoric stress response.