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As found by experiments quasi rate independent materials (QRI) describe very   well behavior of steels in very wide range of strains and strain rates   ([3],[4]). This property has been combined with tensor representation   modeling using a generalized associative flow rule based not on the yield   function but on a more general loading function. Seemingly rate independent   QRI producing incremental evolution equations show rate sensitivity by means   of variability of yield stress with stress rate. On the other hand transverse   isotropy appears in metal forming issues like in rolled car body sheets [18].   Here an extension of tensor generators and invariants is needed to include   the preferred anisotropy direction. Such a procedure has been made here. In   addition we believe that the results of this paper are applicable to dynamic   deformation of orthogneiss rocks treated recently in [5]

A low order viscoplasticity of transversely isotropic quasi-rate independent materials