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Eurasian Mathematical Journal, 2014, Volume 5, Number 2, Pages 78–125
(Mi emj158)
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This article is cited in 7 scientific papers (total in 7 papers)
Generalized potentials of double layer in plane theory of elasticity
A. P. Soldatov Department of mathematical analysis, Belgorod State National Research University
Abstract:
Connected with the function-theoretic approach, generalized potentials of double layer are introduced for the Lamé system of plane anisotropic elasticity theory. These potentials are constructed for the displacement vector – a solution of the Lamé system, and as well for the conjugate vector–functions describing the stress tensor. There are obtained integral representations of these solutions via potentials mentioned above. As a corollary the first and the second boundary-value problems in different classes (Hölder, Hardy, the class of functions continuous in a closed domain) are reduced to equivalent systems of the boundary Fredholm equations in corresponding spaces.
Keywords and phrases:
function-theoretic approach, Lamé system, generalized potentials, plane anisotropic elasticity.
Received: 18.07.2013
Citation:
A. P. Soldatov, “Generalized potentials of double layer in plane theory of elasticity”, Eurasian Math. J., 5:2 (2014), 78–125
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https://www.mathnet.ru/eng/emj158 https://www.mathnet.ru/eng/emj/v5/i2/p78
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Abstract page: | 435 | Full-text PDF : | 232 | References: | 75 |
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