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Exact solution of problem of deflection of an anisotropic plate with an aperture

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Abstract

The exact solution of the problem of the deflection of an anisotropic plate weakened by an aperture is known only for the case in which the aperture has the shape of a circle or an ellipse [1, 2]. An exact solution has not been derived for any other aperture shapes. Approximate methods [3–6] which are widespread for the case of multiply connected anisotropic plates [7] are applied to the determination of the bending moments in an anisotropic plate near an aperture differing little from an elliptical or circular one.

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Literature cited

  1. S. G. Lekhnitskii, Anisotropie Plates' [in Russian], GITTL, Moscow (1957).

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  2. G. N. Savin, Stress Concentration near Apertures [in Russian], GITTL, Moscow-Leningrad (1951).

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  3. S. G. Lekhnitskii, “An approximate method for the determination of stresses in an elastic anisotropic plate near an aperture differing little from a circular one,” Inzh.-Fiz. Zh.,17 (1953).

  4. B. I. Ermolaev, “An approximate method for the determination of the stresses upon the deflection of an anisotropic plate with an aperture,” Izv. Vyssh. Uchebn. Zaved. Stroit. Arkhit., No. 1 (1960).

  5. B. I. Ermolaev, “An approximate solution of the problem of simple deflection of an orthotropic plate with oval and square apertures,” Tr. Sarat. Politekh. Inst.,2 (1959).

  6. A. S. Kosmodamianskii, “A new approximate method for the determination of the stresses in an anisotropic plate with a curved aperture,” in: Some Problems of Elasticity Theory on Stress Concentration and Deformation of Rigid Bodies [in Russian], No. 2, Izd. Saratovsk Univ., Saratov (1965).

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  7. V. V. Meglinskii, “Some problems of the deflection of thin multiply connected anisotropic plates,” in: Some Problems of Elasticity Theory on Stress Concentration and Deformation of Rigid Bodies [in Russian], No. 3, Izd. Saratovsk Univ., Saratov (1967).

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  8. T. L. Martynovich, V. V. Bozhidarnik, and Yu. M. Maksimovich, “The effect of eccentricity of the reinforcement of the edge of an aperture on the stress state in an anisotropic plate,” Mekh. Polim., No. 2 (1974).

  9. I. I. Privalov, Introduction to the Theory of Complex Variable Functions [in Russian], GITTL, Moscow (1954).

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Authors and Affiliations

  1. L'vov

    T. L. Martynovich

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  1. T. L. Martynovich
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 168–177, September–October, 1977.

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Martynovich, T.L. Exact solution of problem of deflection of an anisotropic plate with an aperture. J Appl Mech Tech Phys 18, 728–735 (1977). https://doi.org/10.1007/BF00859905

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  • DOI: https://doi.org/10.1007/BF00859905

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