This article is cited in 1 paper

Mechanics of Solids

Antiplane strain of a cylindrically anisotropic elastic bar

Yu. A. Bogan

M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk, Russia

Abstract: The problem of antiplane deformation of general cylindrical anisotropic material is studied in this paper. Explicit solutions of Dirichlet and Neumann problems are given for a circular domain. The existence of unique weak solution of the Dirichlet problem in a bounded region with a piece-wise smooth boundary is proved.

Keywords: cylindrical anisotropy, elasticity.

UDC: 539.37

MSC: Primary 74K10; Secondary 74E10, 74B05, 35J15

Original article submitted 27/I/2012
revision submitted – 27/II/2012

DOI: 10.14498/vsgtu1047

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