Texture evolution and rotational hardening in multiple slip plasticity: a two dimensional study

We study the evolution of texture in polycrystals within the usual assumptions of multiple slip plasticity, considering the rotation of crystallographic directions to be kinematically independent from the material plastic flow. A minute kinematic description of crystalline matter is given through the family of slip rates and the lattice spin and is supposed to fit with the gross description given through the gradient of the velocity field. Then, as in the well known Taylor approach, the microscopic variables are sought through a constitutive minimum condition. We start introducing our frame of work in general, then we provide a two-dimensional example. The evolution of texture and of the load surface are given under uniform gradients of the gross velocity field.