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The thermodynamics of elastic materials with heat conduction and viscosity

  • Published: December 1963
  • Volume 13, pages 167–178 (1963)
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The thermodynamics of elastic materials with heat conduction and viscosity
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  • Bernard D. Coleman1,2 &
  • Walter Noll1,2 
  • 5045 Accesses

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References

  1. 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.

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  2. Noll, W.: A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal.2, 197–226 (1958).

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  3. 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).

  4. 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.

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  5. Green, A. E., & R. S.Rivlin: The mechanics of non-linear materials with memory. Arch. Rational Mech. Anal.1, 1–34 (1957).

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  6. Coleman, B. D., & W.Noll: An approximation theorem for functionals, with applications in continuum mechanics. Arch. Rational Mech. Anal.6, 355–370 (1960).

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  7. Noll, W.: On the continuity of the solid and fluid states. J. Rational Mech. Anal.4, 3–81 (1955).

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  8. 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).

  9. Green, A. E., & J. E.Adkins: Large Elastic Deformations and Non-Linear Continuum Mechanics. Oxford: Clarendon Press 1960.

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  10. Coleman, B. D., & W.Noll: Material symmetry and thermostatic inequalities in finite elastic deformations, forthcoming.

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Authors and Affiliations

  1. Mellon Institute, Pittsburgh, Pennsylvania

    Bernard D. Coleman & Walter Noll

  2. The Johns Hopkins University, Baltimore, Maryland

    Bernard D. Coleman & Walter Noll

Authors
  1. Bernard D. Coleman
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  2. Walter Noll
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Coleman, B.D., Noll, W. The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal. 13, 167–178 (1963). https://doi.org/10.1007/BF01262690

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  • Received: 11 February 1963

  • Issue date: December 1963

  • DOI: https://doi.org/10.1007/BF01262690

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Keywords

  • Viscosity
  • Neural Network
  • Complex System
  • Heat Conduction
  • Nonlinear Dynamics

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