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Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating

Author

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  • Abbas, Ibrahim A.
  • Kumar, Rajneesh
  • Rani, Leena

Abstract

In this paper, the thermoelastic interactions in a homogeneous, thermally conducting cubic crystal, elastic half-plane has been studied. A linear temperature ramping function is used to more realistically model. The general solution obtained is applied to a specific problem of a half space subjected to ramp-type heating. The components of displacement, stresses, and temperature distribution are obtained by applying a numerical finite element method. Some particular cases are also discussed in the context of the problem. The comparison in Lord and Shulman (LS), Green and Lindsay (GL) and Green and Naghdi (GN) theories have been shown graphically to estimate the effect of ramping parameter of heating for isothermal boundary.

Suggested Citation

  • Abbas, Ibrahim A. & Kumar, Rajneesh & Rani, Leena, 2015. "Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 360-369.
    • Handle: RePEc:eee:apmaco:v:254:y:2015:i:c:p:360-369
    DOI: 10.1016/j.amc.2014.12.111
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