Description of plastic anisotropy effects at large deformations. Part II: the case of transverse isotropy

In a previous paper (see Tsakmakis, 1999) a general thermodynamically consistent (visco-) plasticity theory has been developed, which accounts for anisotropy effects. For simplicity, isotropic hardening has not be regarded, while anisotropy arises from kinematic hardening and orientational evolution of the underlying substructure. In the present paper the capabilities of this theory are discussed for the study case of transverse isotropy. Anisotropy effects are elaborated in the free energy and the yield function by means of structural tensors. Characteristic features of the transversely isotropic model are illustrated for the case of homogeneous simple shear.