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Moon, H.; Truesdell, C.

Interpretation of adscititious inequalities through the effects pure shear stress produces upon an isotropic elastic solid. (English) Zbl 0298.73003

Arch. Ration. Mech. Anal. 55, 1-17 (1974).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 20 Documents

MSC:

74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
74B20 Nonlinear elasticity
74A20 Theory of constitutive functions in solid mechanics
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[1] Reiner, M., Elasticity beyond the elastic limit. Amer. J. Math. 70, 433–446 (1948). Reprinted, with a preface, pp. 1–15 of Continuum Mechanics III, Foundations of Elasticity Theory, ed. C. Truesdell, N. Y. etc., Gordon & Breach, 1965. · Zbl 0035.11602 · doi:10.2307/2372342
[2] Rivlin, R. S., A uniqueness theorem in the theory of highly-elastic materials. Proc. Cambridge Phil. Soc. 44, 595–597 (1948). · Zbl 0032.08904 · doi:10.1017/S0305004100024610
[3] Truesdell, C., The mechanical foundations of elasticity and fluid dynamics. J. Rational Mech. Anal. 1, 125–300 (1952); Correcti · Zbl 0046.17306
[4] Rivlin, R. S., & D. W. Saunders, The free energy of deformation for vulcanized rubber. Trans. Faraday Soc. 48, 200–206 (1952). · doi:10.1039/tf9524800200
[5] Baker, M., & J. L. Ericksen, Inequalities restricting the form of the stress deformation relations for isotropic elastic solids and Reiner-Rivlin fluids. J. Wash. Acad. Sci. 44, 33–35(1954). Reprinted in Continuum Mechanics III, cited above.
[6] Truesdell, C., Das ungelöste Hauptproblem der endlichen Elastizitätstheorie. Z. Angew. Math. Mech. 36, 97–103 (1956). English translation in Continuum Mechanics III, cited above. · Zbl 0070.41703 · doi:10.1002/zamm.19560360304
[7] Truesdell, C., & R. A. Toupin, Static grounds for inequalities in finite elastic strain. Arch. Rational Mech. Anal. 12, 1–33 (1963). · Zbl 0119.19201 · doi:10.1007/BF00281217
[8] Truesdell, C, & W. Noll, The Non-Linear Field Theories of Mechanics. Handbuch der Physik III/3. Berlin-Heidelberg-New York: Springer 1965. · Zbl 0779.73004
[9] Bell, J. F., The Experimental Foundations of Solid Mechanics. Handbuch der Physik VIa/1. Berlin-Heidelberg-New York: Springer 1973.
[10] Wang, C.-C., & C. Truesdell, Introduction to Rational Elasticity. Leyden: Wolters-Noordhoff 1973. · Zbl 0308.73001
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