Second-order Fredholm equations for the first boundary-value problem in the two-dimensional anisotropic theory of elasticity

Yu. A. Bogan

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: A complete potential theory is constructed for the first boundary-value problem in the two-dimensional anisotropic theory of elasticity (the force vector is specified on the boundary) in a bounded domain on a plane with a Lyapunov boundary.

Keywords: theory of elasticity, Fredholm equation.

UDC: 539.3

Received: 18.04.2005

 English version: Journal of Applied Mechanics and Technical Physics, 2006, 47:2, 221–228

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