Twinned Finite Plane Deformations Generated by Prescribed Rotation Fields

In previous work, it has been shown that any suitably smooth plane proper-orthogonal tensor field can serve as a rotation tensor for generating a plane finite deformation. In this paper, this previous analysis is used to study plane finite twin deformations. We show that given a defined smooth curve which separates two arbitrarily prescribed rotation fields, a twin deformation field can be generated in a neighborhood surrounding such curve. Examples are presented for cases where the Jacobian of the finite deformation field is discontinuous or continuous across the defined curve. Twinning in an elastic region is also analyzed in some detail.