2017
Том 69
№ 9

All Issues

Limiting equilibrium of a plane with a circular hole

Lozhkin V. N.

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Abstract

The elastoplastic state of a compressible isotropic plane with a circular hole is studied by the method of a small parameter. An unknown boundary separating the domain of limiting equilibrium and the elastic domain is determined. We construct the complex Kolosov-Muskhelishvili functions that describe the elastic state of a plane and compare these with the solutions of Galin's problem.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 7, pp 1086-1088.

Citation Example: Lozhkin V. N. Limiting equilibrium of a plane with a circular hole // Ukr. Mat. Zh. - 1993. - 45, № 7. - pp. 980–981. July.

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