This article is cited in 3 papers

Equations of an elastic anisotropic layer

Yu. M. Volchkov, L. A. Dergileva

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

Abstract: Differential equations of an elastic orthotropic layer are constructed on the basis of expansion of the solutions of the elasticity theory in terms of the Legendre polynomials. The order of the system of differential equations is independent of the form of the boundary conditions on the layer surfaces, which allows a correct formulation of conditions on contact surfaces.

Keywords: orthotropic elastic layer, Legendre polynomials.

UDC: 539.3

Received: 11.12.2003

 English version: Journal of Applied Mechanics and Technical Physics, 2004, 45:2, 301–309

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