A texture based continuum approach for predicting the plastic behaviour of rolled sheet

A simple analytical model is proposed for predicting the plastic behaviour of orthotropic materials, considered as aggregates of cubic crystals. The behaviour of a single texture component is first described by a quadratic yield equation reduced to the case of cubic symmetry. A combination procedure of the components, using two different assumptions, is then presented. It turns out that the overall plasticity criterion is itself a Hill type quadratic equation, the associated orthotropy parameters of which are analytically derived. Comparison with experiment is carried out with results of the literature as well as direct measurements. Finally, the special case of axially symmetric materials is analyzed.