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Saint-Venant’s principle. (English) Zbl 0203.26803

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[1] Saint-Venant, A.-J.-C. Barré de, Mémoire sur la torsion des prismes, avec des considérations sur leur flexion ... (Read June 13, 1853). Mém. Divers Savants 14, 233-560 (1855). Also issued separately: De la Torsion des Prismes ... Paris: Imprimérie Impériale (1855).
[2] Love, A. E. H., A Treatise on the Mathematical Theory of Elasticity, Fourth Edition. Cambridge: The University Press 1927. · JFM 53.0752.01
[3] Diaz, J. B., & L. E. Payne, Mean Value Theorems in the Theory of Elasticity. Proceedings of the Third U.S. National Congress of Applied Mechanics, 293-303 (1958).
[4] Filon, L. N. G., On the Elastic Equilibrium of Circular Cylinders under Certain Practical Systems of Load, Phil. Trans. Roy. Soc. (Ser. A), 198, 147, (1902) · JFM 33.0822.02
[5] Bramble, J. H.; Payne, L. E., Some Inequalities for Vector Functions with Applications in Elasticity, Arch. Rational Mech. Anal., 11, 16-26, (1962) · Zbl 0109.16806
[6] Boussinesq, M. J., Applications des potentiels à l’étude de l’équilibre et du mouvement des solides élastiques. Paris: Gauthier-Villars 1885. · JFM 18.0932.01
[7] Mises, R., On Saint-Venant’s Principle, Bull. Amer. Math. Soc., 51, 555-562, (1945) · Zbl 0063.04019
[8] Sternberg, E., On Saint-Venant’s Principle, Quart. of Appl. Math., 11, 393-402, (1954) · Zbl 0057.40004
[9] Zanaboni, O., Dimostrazione generale del Principio del de Saint-Venant. Atti. Acc. Naz. Lincei 25, 117-120 (1937). · JFM 63.0742.02
[10] Dou, A., On the Principle of Saint-Venant. Mathematics Research Center, U.S. Army, The University of Wisconsin, Tech. Report No. 472 (1964).
[11] Gould, S., Variational Methods for Eigenvalue Problems. Math. Expositions 10, Toronto (1957).
[12] Truesdell, C., & R. Toupin, The Classical Field Theories. Handbuch der Physik, Vol. III/1. Berlin-Göttingen-Heidelberg: Springer 1960.
[13] Truesdell, C., The Rational Mechanics of Materials—Past, Present, Future, Appl. Mech. Rev., 12, 75-80, (1959)
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