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.
Similar content being viewed by others
References
L. A. Galin, “Plane elastoplastic problem,”Prikl. Mat. Mekh.,12, No. 6, 367–386 (1946).
D. D. Ivlev, and L. V. Ershov,The Perturbation Method in the Theory of Elastoplastic Bodies [in Russian], Nauka, Moscow (1978).
L. V. Kantorovich, and V. I. Krylov,Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow-Leningrad (1962).
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).
N. I. Muskhelishvili,Some Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).
G. N. Savin,Stress Distribution around Holes [in Russina], Nauk. Dumka, Kiev (1968).
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.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02682128