STATIC IMPLICATIONS OF THE EXISTENCE OF A PLANE OF SYMMETRY IN AN ANISOTROPIC ELASTIC SOLID
M. A. HAYES, Andrew N. Norris · The Quarterly Journal of Mechanics and Applied Mathematics · 1992
Several sets of conditions are presented each of which is related to the question of the existence of a plane of material symmetry in an anisotropic elastic solid. The conditions are defined in terms of possible static deformations that can exist in a sample in static equilibrium and subject to certain simple types of traction fields. In particular a necessary and sufficient condition for the existence of a plane of symmetry is that simple shears can be maintained by pure shear forces in at least two planes.