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Coleman, Bernard D.; Owen, David R.

On thermodynamics and elastic-plastic materials. (English) Zbl 0332.73003

Arch. Ration. Mech. Anal. 59, 25-51 (1975).
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Cited in 4 Reviews
Cited in 28 Documents

MSC:

74A15 Thermodynamics in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type
74A20 Theory of constitutive functions in solid mechanics
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References:

[1] 1950[1] Bridgman, P.W., The thermodynamics of plastic deformation and generalized entropy. Rev. Mod. Phys. 22, 56-63. · Zbl 0038.38505 · doi:10.1103/RevModPhys.22.56
[2] 1963[1] Coleman, B.D., & V.J. Mizel, Thermodynamics and departures from Fourier’s law of heat conduction. Arch. Rational Mech. Anal. 13, 245-261. · Zbl 0114.44905 · doi:10.1007/BF01262695
[3] 1963[2] Coleman, B.D., & W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal. 13, 167-178. · Zbl 0113.17802 · doi:10.1007/BF01262690
[4] 1964[1] Coleman, B.D., Thermodynamics of materials with memory. Arch. Rational Mech. 17, 1-46.
[5] 1964[2] Coleman, B.D., On thermodynamics, strain impulses, and viscoelasticity. Arch. Rational Mech. Anal. 17, 230-254. · Zbl 0125.13603
[6] 1964[3] Coleman, B.D., & V.J. Mizel, Existence of caloric equations of state in thermodynamics. J. Chem. Phys. 40, 1116-1125. · doi:10.1063/1.1725257
[7] 1964[4] Coleman, B.D., & W. Noll, Simple fluids with fading memory. Proc. Intl. Sympos. Secondorder Effects, Haifa, April 1962, 530-552.
[8] 1965[1] Wang, C.-C., Stress relaxation and the principle of fading memory. Arch. Rational Mech. Anal. 18, 117-126. · Zbl 0125.41504
[9] 1966[1] Coleman, B.D., & V.J. Mizel, Norms and semi-groups in the theory of fading memory. Arch. Rational Mech. Anal. 23, 87-123. · Zbl 0146.46104 · doi:10.1007/BF00251727
[10] 1967[1] Coleman, B.D., & M.E. Gurtin, Thermodynamics with internal state variables, J. Chem. Phys. 47, 597-613. · doi:10.1063/1.1711937
[11] 1967[2] Coleman, B.D., & M.E. Gurtin, Equipresence and constitutive equations for rigid heat conductors. Zeits. angew. Math. u. Phys. 18, 199-208. · doi:10.1007/BF01596912
[12] 1967[3] Coleman, B.D., & V.J. Mizel, A general theory of dissipation in materials with memory. Arch. Rational Mech. Anal. 27, 255-274. · doi:10.1007/BF00281714
[13] 1968[1] Coleman, B.D., & V.J. Mizel, On the general theory of fading memory. Arch. Rational Mech. Anal. 29, 18-31. · Zbl 0167.24704
[14] 1968[2] Kestin, J., On the Application of the Principles of Thermodynamics to Strained Solid Materials. Proceedings of the IUTAM Symposium on Irreversible Aspects of Continuum Mechanics. Vienna, June 1966, 177-212.
[15] 1969[1] Day, W.A., A theory of thermodynamics for materials with memory. Arch. Rational Mech. Anal. 34, 85-96. · Zbl 0214.52405 · doi:10.1007/BF00247460
[16] 1969[2] Owen, D.R., & W.O. Williams, On the time derivatives of equilibrated response functiops. Arch. Rational Mech. Anal. 33, 288-306. · Zbl 0175.23608 · doi:10.1007/BF00281280
[17] 1970[1] Coleman, B.D., & D.R. Owen, On the thermodynamics of materials with memory. Arch. Rational Mech. Anal. 36, 245-269. · Zbl 0197.23402
[18] 1972[1] Day, W.A., The Thermodynamics of Simple Materials with Fading Memory. Springer Tracts in Natural Philosophy, Vol. 22. Berlin-Heidelberg-New York: Springer. · Zbl 0295.73007
[19] 1972[2] Noll, W., A new mathematical theory of simple materials. Arch. Rational Mech. Anal. 48, 1-50. · Zbl 0271.73006 · doi:10.1007/BF00253367
[20] 1974[1] Coleman, B.D., & D.R. Owen, A mathematical foundation for thermodynamics. Arch. Rational Mech. Anal. 54, 1-104. · Zbl 0306.73004 · doi:10.1007/BF00251256
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