The formulation of constitutive models at finite strain using local objecti
ve fi ames is applied to solids with microstructure. Priviledged space fram
es are introduced at both the material level and the microstructure level.
For single crystals, the method leads to a model almost equivalent to Mande
l's theory. For polycrystals, an explicit concentration rule written in the
corotational frame is proposed. Simulations of texture evolutions are then
presented.