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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/6382

Title: Two-Temperature Generalized Thermopiezoelasticity of Finite Rod Subjected to Different Types of Thermal Loading
Authors: Bassiouny, E.
Youssef, Hamdy M.
Keywords: Finite rod
Thermoelasticity
Piezothermoelasticity
Piezoelectric materials
Two-temperature
Mathematics
Issue Date: 1-Mar-2008
Publisher: Taylor & Francis
Citation: Journal of Thermal Stresses: 31 (3); 233-245
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.
Description: 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.
URI: http://hdl.handle.net/123456789/6382
Appears in Collections:College of Science

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