On entropy flux of transversely isotropic elastic bodies. (English) Zbl 1401.74013
Summary: Recently, the thermodynamic theory of elastic (and viscoelastic) material bodies has been analyzed based on the general entropy inequality [the author, ibid. 90, No. 3, 259–270 (2008; Zbl 1134.74007)]. It is proved there that for isotropic elastic materials, the results are identical to the classical results based on the Clausius-Duhem inequality [B. D. Coleman and W. Noll, Arch. Ration. Mech. Anal. 13, 167–178 (1963; Zbl 0113.17802)], for which one of the basic assumptions is that the entropy flux is defined as the heat flux divided by the absolute temperature. For anisotropic elastic materials in general, this classical entropy flux relation has not been proved in the new thermodynamic theory. In this note, as a supplement of the theory presented in [the author, loc. cit.], it will be proved that the classical entropy flux relation need not be valid in general, by considering a transversely isotropic elastic material body.
MSC:
| 74A15 | Thermodynamics in solid mechanics |
| 74E10 | Anisotropy in solid mechanics |
| 80A17 | Thermodynamics of continua |
References:
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