 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| Yu.E. Ivanova and V.E. Ragozina, "Perturbation Method in the Problem of Compression-Shear Shock Load for a Nonlinear Elastic Half-Space," Mech. Solids. 53 (1), 73-84 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
1 |
Pages |
73-84 |
| DOI |
10.3103/S0025654418010090 |
| Title |
Perturbation Method in the Problem of Compression-Shear Shock Load for a Nonlinear Elastic Half-Space |
| Author(s) |
Yu.E. Ivanova (Institute for Automation and Control Processes of the Far East Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041 Russia; Far East Federal University, ul. Sukhanova 8, Vladivostok, 690000 Russia, ivanova@iacp.dvo.ru)
V.E. Ragozina (Institute for Automation and Control Processes of the Far East Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041 Russia) |
| Abstract |
On the example of a one-dimensional nonstationary problem of oblique impact on the boundary of a nonlinear elastic isotropic half-space, the question of the manifestation of nonlinear deformation effects via basic evolution equations is studied. Much attention is given to the behavior of the solution behind the leading edge of a quasi-transverse shock wave. For particular cases of boundary conditions, it is shown that the onset region of the evolution equation of a quasi-transverse wave is preceded by a series of preliminary transitions to the intermediate internal problems of the small parameter method determined by the type of preliminary bulk deformation. This deformation consistently affects the distortion of the characteristic coordinates and the leading edge of the quasi-transverse process. As a consequence, the transition to the evolution equation of quasi-transverse waves occurs with simultaneous change of all independent variables of the boundary value problem. |
| Keywords |
nonlinear elastic medium, one-dimensional nonstationary problem, longitudinal and quasi-transverse shock wave, oblique impact, small parameter, evolution equations, nonlinear distortion of characteristics |
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|
| Received |
28 May 2016 |
| Link to Fulltext |
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