Definitions of standard stress and standard heat flux, in simple bodies, treated according to Mach and Painlevé

Adriano Montanaro

Rendiconti del Seminario Matematico della Università di Padova (1994)

  • Volume: 91, page 229-249
  • ISSN: 0041-8994

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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 91 (1994): 229-249. <http://eudml.org/doc/108320>.

@article{Montanaro1994,
author = {Montanaro, Adriano},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {contact forces; uniqueness; stress response; thermo-elastic bodies},
language = {eng},
pages = {229-249},
publisher = {Seminario Matematico of the University of Padua},
title = {Definitions of standard stress and standard heat flux, in simple bodies, treated according to Mach and Painlevé},
url = {http://eudml.org/doc/108320},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Montanaro, Adriano
TI - Definitions of standard stress and standard heat flux, in simple bodies, treated according to Mach and Painlevé
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1994
PB - Seminario Matematico of the University of Padua
VL - 91
SP - 229
EP - 249
LA - eng
KW - contact forces; uniqueness; stress response; thermo-elastic bodies
UR - http://eudml.org/doc/108320
ER -

References

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  2. [2] A. Bressan, Relativistic Theories of Materials, Springer, Berlin (1978). Zbl0373.73001MR509212
  3. [3] A. Bressan, On physical possibility, in Italian Studies in Phylosophy of Science, M. L. DELLA CHIARA (ed.), Reidel, Dordrecht (1981), pp. 197-214. MR604959
  4. [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. Zbl0774.73003MR1006945
  5. [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. Zbl0725.73004MR1082620
  6. [6] B.D. Coleman, Thermodynamics of materials with memory, Arch. Rational Mech. Anal., 17 (1964), pp. 1-46. Zbl0286.73006MR171419
  7. [7] W.A. Day, The Thermodynamics of Simple Materials with Fading Memory, Springer (1972). Zbl0295.73007MR366234
  8. [8] W.A. Day, An objection to using entropy as a primitive concept in continuum thermodynamics, Acta Mechanica, 27 (1977), pp. 251-255. Zbl1196.82096
  9. [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. MR462241
  10. [10] J.E. Marsden - T.J.R. Hughes, Mathematical Foundations of Elasticity, Prentice-Hall Inc., Englewood Cliffs, N.J. (1968). Zbl0545.73031
  11. [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. Zbl0774.73004MR1000022
  12. [12] A. Montanaro, On the response stress-function of an elastic body, from the Mach-Painlevé point of view, Atti Istituto VenetoSci. Lett. Arti, 147 (1989), pp. 1-11. Zbl0773.73020MR1192001
  13. [13] A. Montanaro, On heat flux in simple media, J. Elast., 30 (1993), pp. 81-101. Zbl0768.73008MR1207018
  14. [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. Zbl0725.73005
  15. [15] A. Montanaro, On the indeterminateness of the constitutive equations for certain dissipative materials, Atti Istituto Veneto Sci. Lett. Arti (1990), pp. 109-126. Zbl0773.73003MR1192005
  16. [16] C. Truesdell, A. FirstCourse in Rational Continuum Mechanics, Academic Press, New York-San Francisco-London (1977). Zbl0866.73001MR559731
  17. [17] C. Truesdell, Rational Thermodynamics, 2nd edition, Springer (1984). Zbl0559.00016MR766401
  18. [18] C.C. Wang, The principle of fading memory, Arch. Rational Mech. Anal., 18 (1965), pp. 343-366. Zbl0125.41601MR179996

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