Limiting equilibrium of a plane with a circular hole
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.