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Elastoplastic equilibrium of a weighable isotropic half-plane with a circular hole

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Abstract

The elastoplastic state of a weighable isotropic half-plane with a circular hole is studied. Complex Kolosov-Muskhelishvili functions which describe the elastic state of the half-plane are constructed. The unknown interface between the plastic and elastic regions is studied with allowance for the single-valuedness of the elastic displacements. The problem is also solved by the small-parameter method, and the two solutions are compared.

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References

  1. L. A. Galin, “Plane elastoplastic problem,”Prikl. Mat. Mekh.,12, No. 6, 367–386 (1946).

    Google Scholar 

  2. D. D. Ivlev, and L. V. Ershov,The Perturbation Method in the Theory of Elastoplastic Bodies [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  3. L. V. Kantorovich, and V. I. Krylov,Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow-Leningrad (1962).

    Google Scholar 

  4. V. N. Lozhkin, “Elastoplastic equilibrium of a bent isotropic strip with a circular hole with allowance for the single-valuedness of the displacements,”Dopov. Nats. Akad. Nauk Ukrainy, No. 1, 43–46 (1996).

    Google Scholar 

  5. N. I. Muskhelishvili,Some Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  6. G. N. Savin,Stress Distribution around Holes [in Russina], Nauk. Dumka, Kiev (1968).

    Google Scholar 

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Additional information

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 3, pp. 93–98, March, 1999.

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Lozhkin, V.N. Elastoplastic equilibrium of a weighable isotropic half-plane with a circular hole. Int Appl Mech 35, 305–311 (1999). https://doi.org/10.1007/BF02682128

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  • DOI: https://doi.org/10.1007/BF02682128

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