Abstract
The present paper is devoted to a macroscopic formulation of constitutive relations in anisotropic finite elasto-plasticity in the framework of materials with relaxed configurations and internal variables. The material is characterized by persistent transversely isotropic symmetries in its relaxed configurations, taking into account its preexisting structural orientation, via the groups g1 or g4. The anisotropy can develop due to the combined proportional and kinematic hardening. Some generalizations for finite deformations and some new results concerning the plastic spin are emphasized in the framework of Σ-models. We analyse the role of the plastic spin in simple shear process. Only when the plastic spin is not neglected the oscillations in stress response for large simple shear can be suppressed.
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