Hygrothermoelastic responses of inhomogeneous piezoelectric and exponentially graded cylinders

•The interaction of electric potentials and electric displacement is presented.•The general hygrothermal stress analyses are developed.•Both inhomogeneous piezoelectric and exponentially graded cylinders are examined.•The significance of influence of various parameters is investigated.

This paper presents the interaction of electric potentials, electric displacement and elastic deformations. The analytical solution is obtained to describe the hygrothermal responses in inhomogeneous piezoelectric hollow cylinders. The present cylinder is subjected to a both mechanical load and an electric potential. The displacement, stresses and electric potentials in the inhomogeneous cylinders are determined. The material properties coefficients of the present cylinder are assumed to be changed in the radial direction by different distribution forms. Two kinds of numerical application examples are displayed. The hygrothermoelastic response of a piezoelectric inhomogeneous cylinder is presented as the first kind while the hygrothermoelastic response of an exponentially graded composite cylinder is presented as the second kind. The significance of influence of different parameters is investigated. The suitable discussions and final conclusions are made.