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The thermodynamics of elastic materials with heat conduction and viscosity. (English) Zbl 0113.17802


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[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.
[2] Noll, W.: A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal.2, 197-226 (1958). · Zbl 0083.39303 · doi:10.1007/BF00277929
[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.
[5] Green, A. E., & R. S.Rivlin: The mechanics of non-linear materials with memory. Arch. Rational Mech. Anal.1, 1-34 (1957). · Zbl 0079.17602 · doi:10.1007/BF00297992
[6] Coleman, B. D., & W.Noll: An approximation theorem for functionals, with applications in continuum mechanics. Arch. Rational Mech. Anal.6, 355-370 (1960). · Zbl 0097.16403 · doi:10.1007/BF00276168
[7] Noll, W.: On the continuity of the solid and fluid states. J. Rational Mech. Anal.4, 3-81 (1955). · Zbl 0064.42001
[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.
[10] Coleman, B. D., & W.Noll: Material symmetry and thermostatic inequalities in finite elastic deformations, forthcoming. · Zbl 0123.40703
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