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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 438, Pages 118–132
(Mi znsl6188)
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This article is cited in 1 scientific paper (total in 1 paper)
The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium
A. P. Kachalov St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
The paper is devoted to the ray types of finite deformation waves in the nonlinear, physically linear elastic media. The waves are a generalization of the Bland plane waves for the isotropic nonlinear media. For the waves the fast oscillation and slow oscillation parts are interacted during the process of propagation. Forms of the waves are adiabatically changed. An example of plane wave in the inhomogeneous media is considered.
Key words and phrases:
nonlinear elastic medium, finite deformation, the ray type solutions.
Received: 15.10.2015
Citation:
A. P. Kachalov, “The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium”, Mathematical problems in the theory of wave propagation. Part 45, Zap. Nauchn. Sem. POMI, 438, POMI, St. Petersburg, 2015, 118–132; J. Math. Sci. (N. Y.), 224:1 (2017), 79–89
Linking options:
https://www.mathnet.ru/eng/znsl6188 https://www.mathnet.ru/eng/znsl/v438/p118
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| Abstract page: | 240 | | Full-text PDF : | 81 | | References: | 63 |
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