The effect of rotation on plane waves in generalized thermo-microstretch elastic solid with one relaxation time for a mode-I crack problem

doi:10.1088/1674-1056/20/7/074601

中国物理B ›› 2011, Vol. 20 ›› Issue (7): 74601-074601.doi: 10.1088/1674-1056/20/7/074601

The effect of rotation on plane waves in generalized thermo-microstretch elastic solid with one relaxation time for a mode-I crack problem

Mohamed I. A. Othman¹, Kh. Lotfy²

(1)Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt; (2)Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt; Department of Mathematics, Faculty of Science, almithnab, Qassim University, P.O. Box 6666, Almithnab, Kingdom of Saudi Arabia

出版日期:2011-07-15 发布日期:2011-07-15

The effect of rotation on plane waves in generalized thermo-microstretch elastic solid with one relaxation time for a mode-I crack problem

Kh. Lotfy^a)b)† and Mohamed I. A. Othman^a)

^a Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt; ^b Department of Mathematics, Faculty of Science, almithnab, Qassim University, P.O. Box 6666, Almithnab, Kingdom of Saudi Arabia

Online:2011-07-15 Published:2011-07-15

摘要/Abstract

摘要： The present paper is aimed at studying the effect of rotation on the general model of the equations of the generalized thermo-microstretch for a homogeneous isotropic elastic half-space solid, whose surface is subjected to a Mode-I crack problem. The problem is studied in the context of the generalized thermoelasticity Lord—cShulman's (L—S) theory with one relaxation time, as well as with the classical dynamical coupled theory (CD). The normal mode analysis is used to obtain the exact expressions for the displacement components, the force stresses, the temperature, the couple stresses and the microstress distribution. The variations of the considered variables through the horizontal distance are illustrated graphically. Comparisons of the results are made between the two theories with and without the rotation and the microstretch constants.

关键词: Lord—cShulman's theory, thermoelasticity, microrotation, microstretch

Abstract: The present paper is aimed at studying the effect of rotation on the general model of the equations of the generalized thermo-microstretch for a homogeneous isotropic elastic half-space solid, whose surface is subjected to a Mode-I crack problem. The problem is studied in the context of the generalized thermoelasticity Lord—cShulman's (L—S) theory with one relaxation time, as well as with the classical dynamical coupled theory (CD). The normal mode analysis is used to obtain the exact expressions for the displacement components, the force stresses, the temperature, the couple stresses and the microstress distribution. The variations of the considered variables through the horizontal distance are illustrated graphically. Comparisons of the results are made between the two theories with and without the rotation and the microstretch constants.

Key words: Lord—cShulman's theory, thermoelasticity, microrotation, microstretch

中图分类号: (Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity))

46.25.Hf

Kh. Lotfy, Mohamed I. A. Othman. The effect of rotation on plane waves in generalized thermo-microstretch elastic solid with one relaxation time for a mode-I crack problem[J]. 中国物理B, 2011, 20(7): 74601-074601.

Kh. Lotfy and Mohamed I. A. Othman. The effect of rotation on plane waves in generalized thermo-microstretch elastic solid with one relaxation time for a mode-I crack problem[J]. Chin. Phys. B, 2011, 20(7): 74601-074601.

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The effect of rotation on plane waves in generalized thermo-microstretch elastic solid with one relaxation time for a mode-I crack problem

The effect of rotation on plane waves in generalized thermo-microstretch elastic solid with one relaxation time for a mode-I crack problem

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