Two-dimensional piezothermoelastic analysis of a smart FGM hollow sphere

Abstract

A two-dimensional analytical piezothermoelastic solution for a functionally graded material (FGM) hollow sphere with integrated piezoelectric layers as a sensor and actuator subjected to non-axisymmetric loads is carried out. A feedback gain control algorithm is used for the active control of stress and displacement of an FGM hollow sphere. The material properties of the FGM layer are assumed to be graded in the radial direction according to a power law function. Governing differential equations are developed in terms of the components of the displacement field, the electric potential, and the temperature of each layer of the smart FGM hollow sphere. These equations are solved analytically using the Legendre polynomials and the system of Euler differential equations. The effects of grading index of material properties and feedback gain on the mechanical-electrical responses are demonstrated in detail.

The effects of hygro-thermal loading on the two-dimensional response of a functionally graded piezomagnetic cylinder under asymmetric loads

“…An elastic-plastic analysis of FG spherical pressure vessels under internal pressure based on strain gradient plasticity was performed in [23]. A feedback gain control algorithm was employed by Barati and Jabbari [24] in the two-dimensional piezothermoelastic analysis of an FG hollow sphere with integrated piezoelectric layers as a sensor and actuator subject to non-axisymmetric loads. They analytically solved the governing equations utilizing the Legendre polynomials and the system of Euler di erential equations.…”