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IssuesArchive of Issues2016-4pp.484-493

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Yu.E. Ivanova and V.E. Ragozina, "Solution of a Multidimensional Impact Deformation Problem for an Elastic Half-Space with Curved Boundary on the Basis of a Modified Ray Method," Mech. Solids. 51 (4), 484-493 (2016)
Year 2016 Volume 51 Number 4 Pages 484-493
DOI 10.3103/S0025654416040105
Title Solution of a Multidimensional Impact Deformation Problem for an Elastic Half-Space with Curved Boundary on the Basis of a Modified Ray Method
Author(s) Yu.E. Ivanova (Institute for Automation and Control Processes, 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, Far East Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041 Russia)
Abstract A generalization of the method for constructing approximate solutions of boundary value problems of impact deformation dynamics in the form of ray expansions for two-dimensional plane deformation problems is presented. For each shock wave, the solution near its front is determined on the basis of ray coordinates consistent with this wave. The nonlinear divergence of curvilinear rays is taken into account. A mechanism of transformation from one ray coordinate system to another, which is crucially important in the ray method, is described. The developed technique is illustrated by solving the impact deformation problem for a half-space with boundary of nonzero curvature.
Keywords Murnaghan model, elastic medium, shock wave, ray coordinates, nonlinear divergence of rays
References
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Received 19 July 2013
Link to Fulltext http://link.springer.com/article/10.3103/S0025654416040105
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