Explicit formulae of the integral kernels and C-matrix in the 2D Somigliana identity for orthotropic materials

摘要

Simple explicit complex representations of the fundamental displacements and tractions using Lekhnitskii and Stroh theories of plane orthotropic elastic bodies are introduced. The representation of the fundamental tractions is applied to derive in a simple way new real analytical formulae of the coefficient matrix of the free term in the boundary form of the 2D Somigliana identity for orthotropic materials.