Abstract
Solution of elasticity-theory problems is reduced to determination of three different displacement functions with the aid of a single sixth-order equation. It is shown that each displacement function leads to the same result. Therefore, only one displacement function need be taken into account in solving the problem. The approach can be used in solving elasticity-theory problems for anisotropic bodies.
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References
S. A. Ambartsumyan, Theory of Anisotropic Plates [in Russian], Nauka, Moscow (1967).
P. F. Papkovich, Theory of Plasticity [in Russian], Moscow-Leningrad (1939).
V. G. Piskunov V. S. Sipetov, Sh. Sh. Tuimetov, “Bending of a thick transversally isotropic panel by a transverse load,” Prikl. Mekh., 23, No. 11, 21–26 (1987).
V. G. Rekach, Handbook for Solution of Problems of Elasticity Theory [in Russian], Vysshaya Shkola, Moscow (1966).
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Translated from Prikladnaya Mekhanika, Vol. 35, No. 5, pp. 64–68, May, 1999.
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Prusakov, A.P. On displacement functions in problems of elasticity theory. Int Appl Mech 35, 488–492 (1999). https://doi.org/10.1007/BF03355408
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DOI: https://doi.org/10.1007/BF03355408