Mechanics of Solids

The Dirichlet Problem in the 2D Stationary Anisotropic Thermoelasticity

Yu. A. Bogan

Dept. of Deformable Solid Body, M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk

Abstract: In this article the Dirichlet problem for an anisotropic thermoelastic media is studied. It means, by definition, that a displacement vector and a stationary temperature are assigned at a boundary. This boundary value problem is reduced to a system of integral equations. Kernels of integral operators, entering into this system, are weakly regular in a bounded region with a Lyapunov boundary and Hölder continuous boundary data. This boundary value problem keeps up the property of Fredholm solvability if a region and boundary data have weaker properties of smoothness.

Keywords: integral equations, anisotropy, elasticity.

UDC: 539.3

MSC: 74B05,74E10

Original article submitted 18/VIII/2010
revision submitted – 22/IX/2010

DOI: 10.14498/vsgtu820

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