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Thermal shock problem of a generalized thermoelastic layered composite material with variable thermal conductivity

Author

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  • H. M. Youssef
  • A. A. El-Bary

Abstract

The dynamic treatment of one-dimensional generalized thermoelasticproblem of heat conduction is made for a layered thin plate whichis exposed to a uniform thermal shock taking into account variablethermal conductivity. The basic equations are transformed byLaplace transform and solved by a direct method. The solution wasapplied for a plate of sandwich structure, which is thermallyshocked, and is traction-free in the outer sides. The inverses ofLaplace transforms are obtained numerically. The temperature, thestress, and the displacement distributions are representedgraphically.

Suggested Citation

  • H. M. Youssef & A. A. El-Bary, 2006. "Thermal shock problem of a generalized thermoelastic layered composite material with variable thermal conductivity," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-14, March.
    • Handle: RePEc:hin:jnlmpe:087940
    DOI: 10.1155/MPE/2006/87940
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