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Plane waves in thermoelasticity with one relaxation time

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  • Jun Wang
  • Wen Dong Chang

Abstract

We apply the thermoelastic equations with one relaxation time developed by Lord and Shulman (1967) to solve some elastic half-space problems. Laplace transform is used to find the general solution. Problems concerning the ramp-type increase in boundary temperature and stress are studied in detail. Explicit expressions for temperature and stress are obtained for small values of time, where second sound phenomena are of relevance. Numerical values of stress and temperature are calculated and displayed graphically.

Suggested Citation

  • Jun Wang & Wen Dong Chang, 2001. "Plane waves in thermoelasticity with one relaxation time," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 26, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:751718
    DOI: 10.1155/S0161171201004136
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