Further results on invariant properties of the stress in plane elasticity and its extension to piezoelectricity
For a two-dimensional, anisotropic piezoelectric medium which exhibits coupling between elastic and electric fields and under prescribed surface traction and charge conditions, it is shown that the local stress remains unchanged when the compliance tensors are shifted linearly as a function of position. This result is proved for a simply-connected region, but remains valid for multiply-connected domains, provided the resultant traction vanishes on each internal boundary. The effective material tensors are briefly mentioned.
scientific article; zbMATH DE number 831856