Evolution of Anisotropy in Sheet-Steels Submitted to Off-Axes Large Deformations

A proper understanding and a suitable description of the mechanical behavior of anisotropic solids, in relation with the strain-induced modifications of the oriented internal structures, are essential in modern technology for the manufacturing of materials with adequate mechanical properties, the optimization of forming processes and the analysis of engineering structures subjected to extreme loads. The observed experimental facts reveal the complexity of anisotropic phenomena and show the necessity of a rational and unified formulation of anisotropic constitutive laws. Such a formulation must be able to take into account the invariance conditions resulting from the symmetries of the material internal structures, to describe the strong non-linearities of the actual mechanical behavior of anisotropic solids, and to specify the independent variables to be observed in experiments, in order to be able to identify particular constitutive laws.