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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 3, Pages 143–150
(Mi sjim691)
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Solving some problems of elasticity theory by the integral equation method for a holomorphic vector
A. A. Shvab Lavrent'ev Institute of Hydrodynamics SB RAS, Novosibirsk, RUSSIA
Abstract:
Under study are some problems of elasticity theory with nonclassical boundary value conditions. We assume that the load and displacement vectors are given on a part of the boundary, while on the other parts of the boundary, the load vector or the displacement vector may be given separately, and no conditions are imposed on the remaining part of the surface (of some nonzero measure). We consider the questions of uniqueness for the solutions to these problems. Solving the nonclassical problems is reduced to a system of singular integral equations for a holomorphic vector.
Keywords:
elasticity theory, inverse problems, integral equations.
Received: 18.03.2010
Citation:
A. A. Shvab, “Solving some problems of elasticity theory by the integral equation method for a holomorphic vector”, Sib. Zh. Ind. Mat., 14:3 (2011), 143–150; J. Appl. Industr. Math., 6:2 (2012), 248–255
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https://www.mathnet.ru/eng/sjim691 https://www.mathnet.ru/eng/sjim/v14/i3/p143
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Abstract page: | 361 | Full-text PDF : | 90 | References: | 32 | First page: | 1 |
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