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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 6, Pages 103–114
(Mi pmtf2098)
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This article is cited in 3 scientific papers (total in 3 papers)
Eigenoscillations of an elastic body with a rough surface
S. A. Nazarov Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178
Abstract:
Explicit presentations for the initial terms of the asymptotic solution of the spectral problem of the elasticity theory in a plane region with a rapidly oscillating boundary are obtained. Based on asymptotic formulas, two methods for problem modeling are proposed: with the use of Wenzel’s boundary conditions and with the use of the principle of a smooth image of a singularly perturbed boundary. Various approaches to justification of asymptotic presentations are discussed.
Keywords:
anisotropic elastic body, fine-grain boundary, asymptotic presentations.
Received: 20.12.2006
Citation:
S. A. Nazarov, “Eigenoscillations of an elastic body with a rough surface”, Prikl. Mekh. Tekh. Fiz., 48:6 (2007), 103–114; J. Appl. Mech. Tech. Phys., 48:6 (2007), 861–870
Linking options:
https://www.mathnet.ru/eng/pmtf2098 https://www.mathnet.ru/eng/pmtf/v48/i6/p103
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Abstract page: | 40 | Full-text PDF : | 20 |
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