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Problem for a half-space subjected to smooth heating of its boundary in temperature rate-dependent thermoelasticity. (English) Zbl 1080.74511

Summary: We consider a temperature rate-dependent thermoplastic equation developed by Green and Lindsay to solve one-dimensional problem of a homogeneous and isotropic solid occupying the half space and subjected to time-dependent initial conditions. Explicit expressions for displacement and temperature field are obtained by using the Laplace transform with respect to time. An approximate small-time solution is also obtained. Numerical results for a special case of the short-time solution have been displayed graphically.

MSC:

74F05 Thermal effects in solid mechanics
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