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The thermodynamics of constrained materials. (English) Zbl 0263.73004

74A15 Thermodynamics in solid mechanics
74A20 Theory of constitutive functions in solid mechanics
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[1] [1889] Poincaré, H., Leçons sur la Théorie Mathématique de la Lumière. Paris.
[2] [1892] Poincaré, H., Leçons sur la Théorie de l’Elasticité. Paris.
[3] [1955] Adkins, J. E., & R. S. Rivlin, Large elastic deformations of isotropic materials, X. Reinforcement by inextensible cords. Phil. Trans. Roy. Soc. Lond. A248, 201-223. · Zbl 0066.18802
[4] [1955] Rivlin, R. S., Plane strain of a net formed by inextensible cords. J. Rational Mech. Anal. 4, 951-974. · Zbl 0065.40202
[5] [1958] Noll, W., A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197-226. Reprinted in: Rational Mechanics of Materials. Int. Sci. Rev. Ser. New York: Gordon and Breach 1965. · Zbl 0083.39303
[6] [1960] Green, A. E., & J. E. Adkins, Large Elastic Deformations and Non-linear Continuum Mechanics. Oxford: Clarendon Press. · Zbl 0090.17501
[7] [1964] Coleman, B. D., Thermodynamics of materials with memory. Arch. Rational Mech. Anal. 17, 1-46.
[8] [1965] Truesdell, C., & W. Noll, The non-linear field theories of mechanics. Vol. III/3 of the Handbuch der Physik, edited by S. Flügge. Berlin-Heidelberg-New York: Springer. · Zbl 0779.73004
[9] [1969] Truesdell, C., Rational Thermodynamics. New York: McGraw-Hill.
[10] [1970] Coleman, B. D., & D. R. Owen, On the thermodynamics of materials with memory. Arch. Rational Mech. Anal. 36, 245-269. · Zbl 0197.23402
[11] [1970] Green, A. E., P. M. Naghdi, & J. A. Trapp, Thermodynamics of a continuum with internal constraints. Int. J. Engng. Sci. 8, 891-908. · Zbl 0218.73006
[12] [1971] Trapp, J. A., Reinforced materials with thermomechanical constraints. Int. J. Engng. Sci. 9, 757-773. · Zbl 0231.73004
[13] [1972] Andreussi, F., & P. Podio Guidugli, Thermomechanical constraints in simple materials. Bull. Acad. Pol. Sci., Sér. Sci. Tech. (forthcoming). · Zbl 0278.73004
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