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Solution of the Kirsch Problem for a Plate Made of a Material with Nonuniform Thickness

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Abstract

The problem of the theory of elasticity on the uniaxial tension of a thin plate made of a material with nonuniform thickness and having a central circular hole is considered. In the classical theory of elasticity, this problem called the Kirsch problem is considered within the framework of a generalized plane stress state. In the present article, this problem is solved in spatial formulation using complex potentials. The basic relations of the method and its solution are given.

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Authors and Affiliations

  1. Institute of Mechanics, Lomonosov Moscow State University, pr. Michurinskii 1, Moscow, 119192, Russia

    G. Z. Sharafutdinov

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  1. G. Z. Sharafutdinov
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Correspondence to G. Z. Sharafutdinov.

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Russian Text © The Author(s), 2019, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2019, No. 1, pp. 63–71.

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Sharafutdinov, G.Z. Solution of the Kirsch Problem for a Plate Made of a Material with Nonuniform Thickness. Mech. Solids 54, 50–57 (2019). https://doi.org/10.3103/S0025654419010047

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  • DOI: https://doi.org/10.3103/S0025654419010047

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