Effective properties of graded radially polarized piezoelectric cylindrical composites

Abstract

This paper presents a theoretical study of a graded piezoelectric composite consisting of an infinitely long graded radially polarized piezoelectric cylinder embedded in an isotropic elastic non-piezoelectric matrix, under an external strain field. The physical properties of the graded cylindrical inclusion have a power-law profile with respect to the cylindrical radial variable. Using the variable separation method, closed-form solutions for the elastic displacement and electrical field in the entire composite regions are derived from the governing equation. The effective elastic and piezoelectric properties of the graded piezoelectric composite are formulated and discussed. The study reveals a vanishing mechanism of effective piezoelectric response in the graded radially polarized cylindrical piezoelectric composite. In addition, the paper derives the effective elastic formulas of the graded cylindrical elastic composites for the purely elastic problem and discusses the effects of graded property parameters on the effective elastic properties.