Effect of Anisotropic Thermal Conductivity on Deformation of a Thermoelastic Half-Space Subjected to Surface Loads

Authors

  • Kavita Rani  Department of Mathematics, CMG Govt. College for Women, Bhodia Khera, Fatehabad, Haryana, India
  • Anil K. Vashishth  Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India
  • Kuldip Singh  Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar , Haryana, India

Keywords:

Anisotropy, Thermal conductivity, Surface loads, Thermoelastic.

Abstract

The study is motivated by a desire to develop an analytical technique to study quasi-static plane strain deformation of a thermoelastic medium due to surface loads by taking into account the anisotropy of thermal conductivity. By applying the Laplace and Fourier transforms to the state variables involved in the basic governing equations, the solutions for the stresses, displacements, temperature difference and heat flux are obtained. Considering the boundary conditions, the problem is solved in the transformed domain. The actual solutions of the problem in the physical domain are acquired by inverting the Laplace-Fourier transform. Finally, some numerical examples are given to demonstrate the influences of the surface loads and the anisotropy of thermal conductivity on the thermo-elastic response.

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International Journal of Scientific Research in Science and Technology

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Published

2018-02-28

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Volume 4, Issue 2, January-February-2018

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Research Articles

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How to Cite

[1]
Kavita Rani, Anil K. Vashishth, Kuldip Singh, " Effect of Anisotropic Thermal Conductivity on Deformation of a Thermoelastic Half-Space Subjected to Surface Loads, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 4, Issue 2, pp.982-993, January-February-2018.