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IssuesArchive of Issues2001-2pp.57-61

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A. G. Bagdoev, "The antiplane anisotropic problem for a punch whose edges move on the boundary of a half-space with an arbitrary velocity," Mech. Solids. 36 (2), 57-61 (2001)
Year 2001 Volume 36 Number 2 Pages 57-61
Title The antiplane anisotropic problem for a punch whose edges move on the boundary of a half-space with an arbitrary velocity
Author(s) A. G. Bagdoev (Erevan)
Abstract The antiplane problem for a punch moving on the boundary of a half-plane occupied by an anisotropic elastic medium is considered. The law of motion of the punch is arbitrary. The corresponding problem for a crack was studied in [1]. Plane and antiplane problems for a crack in an anisotropic medium were considered in [2, 3]. In the present paper, the results of [1] are extended to the antiplane problem for a punch moving in accordance with an arbitrary law on the boundary of an anisotropic elastic half-plane. The displacements of the boundary of the half-plane outside the punch are determined in the neighborhood of the punch ends. The stresses under the punch and in the neighborhood of the punch ends are obtained.
References
1.  A. G. Bagdoev and L. A. Movsisyan, "An approximate solution of the anisotropic problem for crack propagation," in Mekhanika, No. 7, pp. 48-55, Izd-vo Erevan. Un-ta, Erevan, 1989.
2.  V. A. Saraikin and L. I. Slepyan, "The plane problem of the crack dynamics in an elastic body," Izv. AN SSSR. MTT [Mechanics of Solid], No. 4, pp. 54-73, 1979.
3.  B. V. Kostrov, "Unsteady propagation of a longitudinal shear crack," PMM [Applied Mathematics and Mechanics], Vol. 30, No. 6, pp. 1024-1049, 1966.
4.  G. Ward, "Supersonic flow past thin wings," Quar. J. Mech. and Appl. Math., Vol. 2, Pt. 2, pp. 136-152, 1949.
5.  E. A. Krasil'shchikova, A Thin Wing in Compressible Flow [in Russian], Nauka, Moscow, 1978.
Received 16 November 1998
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