Similar Analysis of Piezoelectric Materials and Anisotropic Materials with Elliptical Cavity Subjected to Uniform Loads at Infinity

Abstract

This paper presents general solutions for piezoelectric materials and anisotropic materials with elliptical cavity subjected to uniform loads at infinity. General solutions are provided by using complex analytical functions based on Lekhnitskii formalism. In the analysis, similarities of fundamental equation between piezoelectric materials and anisotropic materials are shown. By defining new similarity-based complex functions, expressions of mechanical and electrical quantities are derived by analogous form. And distributions of stress, electric displacement, strain and electric field around elliptical cavity are shown by contour plot. Furthermore, it is shown that theory of anisotropic material is applicable to piezoelectric material by adequately replacing material constants.