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Tension of a nonthin transversely isotropic plate with a noncircular cylindrical cavity

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Abstract

The three-dimensional stress state of a transversely isotropic plate with a nearly circular cylindrical cavity is examined. The cavity surface is subject to normal and tangential stresses and the plate is subject at infinity to tensile and shear forces. The problem is solved by expanding unknown functions into Fourier-Legendre series in the thickness coordinate and using the boundary-shape perturbation method. The equations and recurrence formulas needed to solve the problem in an arbitrary approximation are presented

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv

    I. Yu. Khoma

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  1. I. Yu. Khoma
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__________

Translated from Prikladnaya Mekhanika, Vol. 42, No. 11, pp. 101–113, November 2006.

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Khoma, I.Y. Tension of a nonthin transversely isotropic plate with a noncircular cylindrical cavity. Int Appl Mech 42, 1285–1297 (2006). https://doi.org/10.1007/s10778-006-0199-4

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  • DOI: https://doi.org/10.1007/s10778-006-0199-4

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