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On the solution of problems of elasticity theory using the perturbation method

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Abstract

We discuss methods of choosing the perturbation based on physical or geometric properties of the bodies being studied. We propose new types of perturbations that significantly simplify the solution of problems of the theory of elasticity. Bibliography: 3 titles.

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Literature Cited

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

  2. A. S. KosmodamianskiiThe Stress State of Anisotropic Media with Holes and Cavities [in Russian], Donetsk (1976).

  3. N. I. Muskhelishvili,Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen (1953).

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Authors
  1. A. S. Kosmodamianskii
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Additional information

Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 147–151

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Kosmodamianskii, A.S. On the solution of problems of elasticity theory using the perturbation method. J Math Sci 86, 3180–3182 (1997). https://doi.org/10.1007/BF02355723

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  • DOI: https://doi.org/10.1007/BF02355723

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