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Solution of boundary-value problems of the statics of layered elastic bodies with nonrigid contact between the layers

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Abstract

A technique is proposed for solving three-dimensional problems of the stress-strain state of cylinders, spheres, and shallow elastic bodies with a rectangular projection which are composed of laterally nonhomogeneous anisotropic layers with nonrigid contact between the layers. The solution of the corresponding many-point boundary-value problem is reduced to solving a number of two-point problems by a known numerical apparatus. Solution results are reported for the strain of a three-layer spherical shell with slipping layers.

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Literature cited

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Authors and Affiliations

  1. Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, USSR

    Ya. M. Grigorenko, A. T. Vasilenko & N. D. Pankratova

Authors
  1. Ya. M. Grigorenko
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  2. A. T. Vasilenko
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  3. N. D. Pankratova
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 62–68, 1985.

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Grigorenko, Y.M., Vasilenko, A.T. & Pankratova, N.D. Solution of boundary-value problems of the statics of layered elastic bodies with nonrigid contact between the layers. J Math Sci 54, 804–809 (1991). https://doi.org/10.1007/BF01097591

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  • DOI: https://doi.org/10.1007/BF01097591

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