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New Approach to Solving a Two-Dimensional Problem for an Orthotropic Plate

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Abstract

A new approach to solving a two-dimensional problem for an orthotropic multiply connected plate is proposed in place of the standard approach which reduces the problem to integrating a fourth-order differential equation. The new method reduces the problem to integrating second-order differential equations that can be solved successively using a perturbation technique.

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REFERENCES

  1. S. G. Lekhnitskii, Anisotropic Plates [in Russian], Moscow (1957).

  2. A. S. Kosmodamianskii, The Two-Dimensional Problem in the Theory of Elasticity for Plates with Holes, Cuts, and Protuberances [in Russian], Kiev (1975).

  3. A. S. Kosmodamianskii, Stressed State of Anisotropic Media with Holes or Cavities [in Russian], Kiev, Donetsk (1976).

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Authors and Affiliations

  1. Donetsk State University, Ukraine

    A. S. Kosmodamianskii

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  1. A. S. Kosmodamianskii
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Kosmodamianskii, A.S. New Approach to Solving a Two-Dimensional Problem for an Orthotropic Plate. Journal of Mathematical Sciences 103, 331–333 (2001). https://doi.org/10.1023/A:1011358111106

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  • DOI: https://doi.org/10.1023/A:1011358111106

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