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Archive for Rational Mechanics and Analysis

, Volume 13, Issue 1, pp 167–178 | Cite as

The thermodynamics of elastic materials with heat conduction and viscosity

  • Bernard D. Coleman
  • Walter Noll
Article

Keywords

Viscosity Neural Network Complex System Heat Conduction Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Noll, W.: The foundations of classical mechanics in the light of recent advances in continuum mechanics. In: The Axiomatic Method with Special Reference to Geometry and Physics. Pp. 266–281. Amsterdam; North Holland Co. 1959.Google Scholar
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    Noll, W.: A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal.2, 197–226 (1958).Google Scholar
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    Noll, W.: La mécanique classique, basée sur un axiome d'objectivité. A paper read at the Colloque Internationale sur la Méthode Axiomatique in Mécanique Classique et Moderne, Paris, 1959 (to be published by Gauthier-Villars, Paris).Google Scholar
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    Truesdell, C., & R. A.Toupin: The Classical Field Theories. In: Encyclopedia of Physics, Vol. III/1, edited by S.Flügge. Berlin-Göttingen-Heidelberg: Springer 1960.Google Scholar
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    Green, A. E., & R. S.Rivlin: The mechanics of non-linear materials with memory. Arch. Rational Mech. Anal.1, 1–34 (1957).Google Scholar
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    Coleman, B. D., & W.Noll: An approximation theorem for functionals, with applications in continuum mechanics. Arch. Rational Mech. Anal.6, 355–370 (1960).Google Scholar
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    Noll, W.: On the continuity of the solid and fluid states. J. Rational Mech. Anal.4, 3–81 (1955).Google Scholar
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    Pipkin, A. C., & R. S.Rivlin: The formulation of constitutive equations in continuum physics. Technical Report DA 4531/4 to the Department of the Army, Ordnance Corps (1958).Google Scholar
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    Green, A. E., & J. E.Adkins: Large Elastic Deformations and Non-Linear Continuum Mechanics. Oxford: Clarendon Press 1960.Google Scholar
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    Coleman, B. D., & W.Noll: Material symmetry and thermostatic inequalities in finite elastic deformations, forthcoming.Google Scholar

Copyright information

© Springer-Verlag 1963

Authors and Affiliations

  • Bernard D. Coleman
    • 1
    • 2
  • Walter Noll
    • 1
    • 2
  1. 1.Mellon InstitutePittsburgh
  2. 2.The Johns Hopkins UniversityBaltimore

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