Non-Classical Thermoelasticity in a Half Space under the influence of a Heat Source

Authors

  • J. J. Tripathi  Department of Mathematics, Dr. Ambedkar College, Deekshabhoomi, Nagpur, Maharashtra, India

Keywords:

Thermoelastic; half-space; Lord-Shulman; heat source.

Abstract

A two dimensional problem for an infinite half space is formulated, to study the thermoelastic response due to the presence of a heat source varying periodically with time. The Lord-Shulman theory of thermoelasticity with one relaxation time is considered. The bounding surface is traction free and subjected to a known temperature distribution. Integral transform technique is developed to find the analytic solution in the transform domain by using direct approach. Inversion of transforms is done by employing Gaver-Stehfast algorithm. Mathematical model is prepared for Copper material and numerical results for temperature, displacements and stresses thus obtained are illustrated graphically.

References

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IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2019-03-11

Issue

Volume 4, Issue 4, March-April-2019

Section

Research Articles

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How to Cite

[1]
J. J. Tripathi, " Non-Classical Thermoelasticity in a Half Space under the influence of a Heat Source, IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 4, Issue 4, pp.14-20, March-April-2019.