Two-Temperature Generalized Thermopiezoelasticity of Finite Rod Subjected to Different Types of Thermal Loading

Abstract

In this work the theory of two-temperature generalized thermoelasticity, based on the theory of Youssef is used to solve boundary value problems of one-dimensional finite piezoelectric rod with loading on its boundary with different types of heating. The governing equations are solved in the Laplace transform domain by using a direct approach. The general solution obtained is applied to specific problems of a finite piezoelectric rod subjected to two types of heating: a thermal shock type, and a ramp type. The inverse Laplace transforms are computed numerically using a method based on Fourier expansion techniques. The conductive temperature, the dynamical temperature, the stress, the strain and the displacement distributions are shown graphically.