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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 2, Pages 188–198
(Mi pmtf2371)
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This article is cited in 3 scientific papers (total 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.
Received: 11.12.2003
Citation:
Yu. M. Volchkov, L. A. Dergileva, “Equations of an elastic anisotropic layer”, Prikl. Mekh. Tekh. Fiz., 45:2 (2004), 188–198; J. Appl. Mech. Tech. Phys., 45:2 (2004), 301–309
Linking options:
https://www.mathnet.ru/eng/pmtf2371 https://www.mathnet.ru/eng/pmtf/v45/i2/p188
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