Abstract
In sections 1.2 - 1.12 we have seen various ways of modifying the classical diffusion equation in order to allow heat to be transported with a finite wavespeed. The assumption was that the body would remain rigid. However, in many cases this is too strong since the body itself deforms or vibrates. Thus, in this chapter we wish to look at ways of coupling heat propagation in the case where the body is an elastic solid. This is the domain of thermoelasticity and, in particular, we shall review theories of thermoelasticity which allow temperature to travel as a wave with finite speed.
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Straughan, B. (2011). Interaction with elasticity. In: Heat Waves. Applied Mathematical Sciences, vol 177. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0493-4_2
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DOI: https://doi.org/10.1007/978-1-4614-0493-4_2
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