Reflection waves problem in a generalized thermoelastic half-space with two temperature and rotation

S. M. Abo-Dahab and Kh. Lotfy and Udai Al-Juboori

African Journal of Engineering Research
Published: May 30 2019
Volume 7, Issue 2
Pages 33-44

Abstract

The theory of two-temperature generalized thermoelasticity based on the theory of Youssef is used to solve the boundary value problems of two dimensional half-space with heating its boundary with different types of heating. The governing equations are solved using new mathematical methods under the purview of the classical dynamical coupled theory (CD) and Lord-Şhulman theory (LS). The general solution obtained is applied to a specific problem of a half-space subjected to one types of heating thermal shock type. The normal mode method is used to obtain the exact expressions for the displacement components, force stresses, and temperature distribution for a mode-I crack. The variations of the considered variables through the horizontal distance are illustrated graphically. Comparisons are made with the results between the two theories.

Keywords: Thermoelasticity, A mode-I crack, two temperature, Lord-Şhulman theory, coupled theory.

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