Infinite Space, Half-Space, and Bimaterials

Abstract

As stated in the last two chapters, the study of stresses and deformations in two-dimensional anisotropic elastic bodies can be done by using Lekhnitskii formalism or Stroh formalism. Most of the works published in the earlier literature were based on Lekhnitskii formalism (1968). Due to the mathematical difficulties involved for the generalized two-dimensional problems, when employing Lekhnitskii formalism one usually considers the state of generalized plane stress or plane strain. This implies that at each point of the anisotropic plate there should be a plane of elastic symmetry which is parallel to the middle plane of a thin plate or normal to the generator of a long cylinder.