This article is cited in 8 papers

Exact analytical solution of the Kirsch problem within the framework of the cosserat continuum and pseudocontinuum

M. A. Kulesh, V. P. Matveenko, I. N. Shardakov

Institute of Mechanics of Continuous Media, Ural Division, Russian Academy of Sciences, Perm', 614013

Abstract: The Kirsch problem of one-sided tension of a plate with a circular hole is considered within the framework of the nonsymmetric theory of elasticity under the assumption that material deformation is described not only by the displacement vector but also by the rotation vector. The general analytical solution of this problem is expressed in terms of the Bessel functions. The resulting solution is compared with the corresponding solutions for a symmetric medium and Cosserat pseudomedium. A macroparameter characterizing the distortion of the boundary of the circular hole upon deformation is introduced.

UDC: 539.3.01

Received: 26.12.2000

 English version: Journal of Applied Mechanics and Technical Physics, 2001, 42:4, 687–695

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