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IssuesArchive of Issues2018-1pp.73-84

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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
References
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Received 28 May 2016
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