Saint-venant Torsion of Functional Graded Orthotropic Piezoelectric Hollow Circular Cylinder

Abstract

This paper gives an analytical solution to the Saint-Venant torsion of the hollow and solid circular cylinder made of orthotropic functionally graded piezoelectric material. The elastic flexibility coefficients and piezoelectric constants and permittivities have only radial dependence. The considered material non-homogeneity is described by power function. The solution of the Saint-Venant torsion problem is presented for Prandtl’s stress function, shearing stresses, electric displacement potential function, torsion function and electric potential function. An example illustrates the application of the formulated analytical method.