Axisymmetric thermoelectroelastic analysis of a piezoelectric half-space

TL;DR

This paper derives an analytical solution for the thermo-electro-elastic behavior of piezoelectric half-spaces under axisymmetric loading, revealing stress distribution patterns and electric field behaviors under various thermal conditions.

Contribution

It provides a novel closed-form analytical solution for the thermo-electro-elastic analysis of piezoelectric semi-infinite bodies under axisymmetric loading.

Findings

Maximum radial stress occurs at the surface under thermal loading.

Normal stress peaks near the surface, not at it.

Electric field distribution lacks a clear maximum under combined loadings.

Abstract

In this study, an analytical solution is presented for thermo-electro-elastic analysis of piezoelectric semi-infinite bodies. For this purpose, governing equations are derived for a transversely isotropic piezoelectric material under axisymmetric thermo-electro-mechanical loading condition. A general closed form analytical solution is presented for the complementary and particular parts of the components of displacement vector and also electric potential function. Then, boundary conditions are imposed and in that case an explicit solution is obtained for piezoelectric semi-infinite bodies. Results show that when a piezoelectric half-space is subjected to constant/ramp surface thermal loading the maximum absolute value of radial stress occurs at the surface of the body. Whereas, the maximum absolute value of stress in normal direction of the half-space surface occurs not on the surface but somewhere near the surface of the body. Moreover, the peak values for these stress curves in the case of combined loadings are closest to the half space surface and the farthest in the case of ramp decaying thermal loading. In contrast to the constant/ramp surface thermal loading no clear maximum point for electric field distribution for the case of combined loadings can be seen in the normal direction to the half-space boundary.