Semi-empirical and Efficient Solutions for FGPM Hollow Spheres in Hygrothermal Environment

摘要

This paper presents semi-analytical solutions for functionally graded piezoelectric hollow spheres. The hollow sphere is subjected to pressure on the boundary surface, electric potentials difference between the outer and inner surfaces, and uniform distribution of hygrothermal effect. It is assumed that the material properties of the sphere are graded in the radial direction according to a power law distribution of the volume fraction of the constituents. Some cases of boundary conditions are presented for stresses, electric potentials and displacement. Finally, numerical results for radial displacement, electric potential and stresses are carried out and discussed. The effects of different parameters are investigated. It can be concluded that the gradient of the material properties have particular influence in modern engineering design.