Tensor distinction of ferroelastic domain states in completely transposable domain pairs

Abstract
We present tensor distinction of ferroelastic domains for a large class of ferroelastic domain states that form so called completely transposable domain pairs. We give the 15 possible relations (twin laws) between these ferroelastic domain states. For each twin law we list the numbers of components of important material property tensors that are different and that are equal in the two single domain states of the domain pair. We demonstrate how these twin laws and tensor distinction can be influenced by disorientations, i.e. rotations of single domain states needed to achieve coherent junction of two ferroelastic domain states along a planar domain wall.