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Limiting equilibrium of a plane with a circular hole
Authors:V N Lozhkin
Institution:(1) Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk
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.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 7, pp. 980–981. July, 1993.
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