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Equipresence and constitutive equations for rigid heat conductors

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Zusammenfassung

Die Autoren diskutieren neuere Anwendungen des Äquipräsenzprinzips auf Konstitutionsgleichungen ruhender Wärmeleiter und entwickeln sodann eine Theorie, in welcher die Beeinflussung der freine Energie, der Entropie und des Wärmeflusses durch die Geschichte nicht nur der Temperatur, sondern auch des Temperaturgradienten zugelassen ist. Sie formulieren für starre Körper dieser Art notwendige und hinreichende Bedingungen für die Gültigkeit der Clausius-Duhemschen Ungleichung in allen glatten Wärmeprozessen.

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Authors and Affiliations

  1. Mellon Institute, Pittsburgh, Pennsylvania

    Bernard D. Coleman

  2. Department of Mathematics, Carnegie Institute of Technology, Pittsburgh, Pennsylvania

    Morton E. Gurtin

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  1. Bernard D. Coleman
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  2. Morton E. Gurtin
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Coleman, B.D., Gurtin, M.E. Equipresence and constitutive equations for rigid heat conductors. Journal of Applied Mathematics and Physics (ZAMP) 18, 199–208 (1967). https://doi.org/10.1007/BF01596912

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  • DOI: https://doi.org/10.1007/BF01596912

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