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Three-Dimensional Analysis of a Thermo-Viscoelastic Half-Space due to Thermal Shock in Temperature-Rate-Dependent Thermoelasticity

Published online by Cambridge University Press:  19 May 2016

S. Kumar ,
J. S. Sikka  and
S. Choudhary
S. Kumar
Affiliation:
Department of Basic & Applied Sciences Bhagat Phool Singh Mahila Vishwavidyalaya Khanpur Kalan, India
J. S. Sikka
Affiliation:
Department of Mathematics MDU Rohtak, India
S. Choudhary*
Affiliation:
Mathematics Department Government College Hisar, India
*
*Corresponding author ([email protected])
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Abstract

The present paper is aimed at studying the effects of viscosity and time on the propagation of thermoelastic waves in a homogeneous and isotropic three-dimensional medium whose surface is acted upon by a thermal load under the purview of temperature-rate-dependent thermoelasticity. The normal mode analysis technique has been employed to solve the resulting non-dimensional coupled field equations and hence the exact expressions for displacement component, stress, temperature field and strain are obtained. The problem is further illustrated by computing the numerical values of the field variables for a copper- like material and depicting them graphically. Numerical results predict finite speed of propagation for thermoelastic waves.

Keywords

Temperature-rate-dependent thermoelasticityViscosityNormal mode analysisThree-dimensional modelling
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 4 , August 2016 , pp. 401 - 411
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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