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1 2008

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Two-Temperature Generalized Thermopiezoelasticity for One Dimensional Problems – State Space Approach

Youssef H. M., Bassiouny E.

Computational Methods in Science and Technology

2008

Vol. 14, nr 1

55-64

The theory of two-temperature generalized thermoelasticity, based on the theory of Youssef is used to solve boundary value problems of one dimensional piezoelectric half-space with heating its boundary with different types of heating. The governing equations are solved in the Laplace transform domain by using state-space approach of the modern control theory. The general solution obtained is applied to a specific problems of a half-space subjected to three types of heating; the thermal shock type, the ramp type and the harmonic type. The inverse Laplace transforms are computed numerically using a method based on Fourier expansion techniques. The conductive temperature, the dynamical temperature, the stress and the strain distributions are shown graphically with some comparisons.