Definitions of standard stress and standard heat flux, in simple bodies, treated according to Mach and Painlevé
Rendiconti del Seminario Matematico della Università di Padova, Tome 91 (1994), pp. 229-249.
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     author = {Montanaro, Adriano},
     title = {Definitions of standard stress and standard heat flux, in simple bodies, treated according to {Mach} and {Painlev\'e}},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {229--249},
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     volume = {91},
     year = {1994},
     mrnumber = {1289639},
     zbl = {0805.73008},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1994__91__229_0/}
}
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Montanaro, Adriano. Definitions of standard stress and standard heat flux, in simple bodies, treated according to Mach and Painlevé. Rendiconti del Seminario Matematico della Università di Padova, Tome 91 (1994), pp. 229-249. http://www.numdam.org/item/RSMUP_1994__91__229_0/

[1] A. Bressan, Metodo di assiomatizzazione in senso stretto della Meccanica classica, Rend. Sem. Mat. Univ. Padova, 32 (1962), pp. 55-212. | Numdam | Zbl

[2] A. Bressan, Relativistic Theories of Materials, Springer, Berlin (1978). | MR | Zbl

[3] A. Bressan, On physical possibility, in Italian Studies in Phylosophy of Science, M. L. DELLA CHIARA (ed.), Reidel, Dordrecht (1981), pp. 197-214. | MR

[4] A. Bressan, Towards axiomatic foundations of the Mach-Painlevé type for classical or relativistic theories of continuous media, Atti Acc. Lincei Rend. Fis., 19 (1987), pp. 3-21. | MR | Zbl

[5] A. Bressan - A. Montanaro, On the uniqueness of response stress-functionals for purely mechanical continuous media, from the Mach-Painlevé point of view, Part 1: Hyper-elastic case; Part 2: Case of materials with memory, Atti Accad. Naz. Lincei, Mem. Mat. Appl., Serie IX, vol. I (1990), pp. 59-94. | MR | Zbl

[6] B.D. Coleman, Thermodynamics of materials with memory, Arch. Rational Mech. Anal., 17 (1964), pp. 1-46. | MR | Zbl

[7] W.A. Day, The Thermodynamics of Simple Materials with Fading Memory, Springer (1972). | MR | Zbl

[8] W.A. Day, An objection to using entropy as a primitive concept in continuum thermodynamics, Acta Mechanica, 27 (1977), pp. 251-255.

[9] A.E. Green - P.M. Naghdi, On thermodynamics and the nature of the second law, Proc. R. Soc. London A, 357 (1977), pp. 253-270. | MR

[10] J.E. Marsden - T.J.R. Hughes, Mathematical Foundations of Elasticity, Prentice-Hall Inc., Englewood Cliffs, N.J. (1968). | Zbl

[11] A. Montanaro, A completion of A Bressan's work on axiomatic foundations of the Mach-Painlevé type for various classical theories of continuous media, Part 1: Completion of Bressan's work based on the notion of gravitational equivalence of affine inertial frames, Atti Acc. Lincei. Rend. Fis., 81 (1987), pp. 35-46. | MR | Zbl

[12] A. Montanaro, On the response stress-function of an elastic body, from the Mach-Painlevé point of view, Atti Istituto Veneto Sci. Lett. Arti, 147 (1989), pp. 1-11. | MR | Zbl

[13] A. Montanaro, On heat flux in simple media, J. Elast., 30 (1993), pp. 81-101. | MR | Zbl

[14] A. Montanaro, On the response functions of a thermo-elastic body, from the Mach-Painlevé point of view, Atti Accad. Naz. Lincei, Mem. Mat. Appl., Serie IX, vol. I (1990), pp. 3-29. | Zbl

[15] A. Montanaro, On the indeterminateness of the constitutive equations for certain dissipative materials, Atti Istituto Veneto Sci. Lett. Arti (1990), pp. 109-126. | MR | Zbl

[16] C. Truesdell, A. First Course in Rational Continuum Mechanics, Academic Press, New York-San Francisco-London (1977). | MR | Zbl

[17] C. Truesdell, Rational Thermodynamics, 2nd edition, Springer (1984). | MR | Zbl

[18] C.C. Wang, The principle of fading memory, Arch. Rational Mech. Anal., 18 (1965), pp. 343-366. | MR | Zbl