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The three-dimensional expansion-contraction problem for an orthotropic plate with elliptic cavities

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Abstract

On the basis of functions of generalized complex variables that are exact solutions of the three-dimensional equations of the theory of elasticity of an orthotropic body, we construct the solution for studying the stress state of a plate with elliptic cavities. We use the projection-grid method on the transverse coordinate. As basis functions we have chosen functions of compact support. We have carried out numerical studies for a plate with one elliptic cavity. Three tables. Bibliography: 8 titles.

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Literature Cited

  1. A. S. Kosmodamianskii and N. M. Neskorodev, “Integration of the three-dimensional equations of the theory of elasticity of an anisotropic body,” Preprint No. 2086-Uk84, Donetsk (1984).

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Authors
  1. N. M. Neskorodev
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Additional information

Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 20–27.

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Neskorodev, N.M. The three-dimensional expansion-contraction problem for an orthotropic plate with elliptic cavities. J Math Sci 86, 3099–3103 (1997). https://doi.org/10.1007/BF02355704

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  • DOI: https://doi.org/10.1007/BF02355704

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