Approximation of a martensitic laminate with varying volume fractions

We give results for the approximation of a laminate with varying volume fra ctions for multi-well energy minimization problems modeling martensitic cry stals that can undergo either an orthorhombic to monoclinic or a cubic to t etragonal transformation. We construct energy minimizing sequences of defor mations which satisfy the corresponding boundary condition, and we establis h a series of error bounds in terms of the elastic energy for the approxima tion of the limiting macroscopic deformation and the simply laminated micro structure. Finally, we give results for the corresponding finite element ap proximation of the laminate with varying volume fractions.