Thermoelasto-viscous Materials |
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Authors: | Brian Seguin |
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Institution: | 1.Dept. of Math Sciences, Wean Hall 6113,Carnegie Mellon University,Pittsburgh,USA |
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Abstract: | A thermoelasto-viscous material is defined by a set of constitutive laws in which the stress, entropy, heat flux and free
energy are functions of the present configuration, temperature, temperature gradient and the rate of change of all three of
these. Here these materials are presented within the framework of Walter Noll’s new theory of simple materials, so that the
constitutive laws are specified without the use of a frame of reference. The Coleman-Noll procedure is carried out, and the
symmetry group of the material is also discussed, both without using a frame of reference. It is then shown what form the
constitutive laws of a fluid thermoelasto-viscous material take when a frame of reference is considered. Finally, the governing
equations for these materials are explicitly obtained and discussed. The results in this paper may serve as a foundation for
new and better mathematical models to deal with phenomena such as heat transfer, heat exchanges and thermophoresis. |
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