A Theory of Small Deformation Superposed on Finite Deformation of Elastic Semi-Conductors

Abstract

A general theory dealing with small deformation superposed on finite deformation of an elastic semi-conductor is formulated on the basis of the non-linear theory of finite deformation given by Maugin and Daher [1]. The stress field, the mechanical field, the electromotive intensity, entropy flux vector, poynting vector, temperature field, electromagnetic force vector, surface electromagnetic vector, etc. are all determined in B’ state. The undeformed state, deformed state and superposed deformed state are denoted by B₀, B and B’ respectively. Neutral equations of motion to examine the stability of a particular motion are also given. The stability of non-linear oscillations of a spherical shell [2] is considered as an example.