Use of inversion transformation for modeling in certain problems of the theory of elasticity and plasticity

  • S. D. Klyachko
Article
  • 28 Downloads

Abstract

Certain possibilities of using the inversion transformation for modeling problems of the theory of elasticity and plasticity are considered, in particular, for cases where this allows us to make the experimental investigation on the model considerably easier to carry out.

Keywords

Mathematical Modeling Mechanical Engineer Experimental Investigation Industrial Mathematic Modeling Problem 

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Literature cited

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    T. Levi-Civita, “Sopra una transformazione in se stessa della equazione Δ/2 Δ/2 = 0,” Atti del R. Instituto Veneto di Scienze, Lettere ed Arti, Ser. 7,9, 1399–1410 (1897–1898).Google Scholar
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    J. H. Michell, “The inversion of plane stress,” Proc. London Math. Soc.,34, 134 (1902).Google Scholar
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    J. H. Michell, “The flexure of a circular plate,” Proc. London Math. Soc.34, 223–238 (1902).Google Scholar
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    W. Olszak and Z. Mroz, “Elastic bending of a circular plate with eccentric holes (application of the method of inversion),” Arch. Mech. Stosowanej,9, No. 2 (1957).Google Scholar
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    S. G. Lekhnitskii, Anisotropic Plates [in Russian], Gostekhizdat, Moscow-Leningrad (1947).Google Scholar

Copyright information

© Consultants Bureau 1974

Authors and Affiliations

  • S. D. Klyachko
    • 1
  1. 1.Novosibirsk

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