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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 5, Pages 142–153
(Mi pmtf1146)
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This article is cited in 3 scientific papers (total in 3 papers)
Effect of the medium inhomogeneity on the evolution equation of plane shock waves
V. E. Ragozina, Yu. E. Ivanova IInstitute of Automation and Control Processes, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041, Russia
Abstract:
Using the method of matched asymptotic expansions, solutions of boundary-value problems of shock deformation of nonlinear elastic weakly inhomogeneous semispaces are obtained. It is shown that nonlinearity of the model and various properties of the inhomogeneity lead to new evolution equations in the frontal areas of longitudinal and transverse shock waves, the transition to which is due to transformations of all independent coordinates of the problem.
Keywords:
nonlinear elastic medium, inhomogeneity, shock waves, bulk and shear deformation, evolution equation.
Received: 17.10.2012 Revised: 21.03.2013
Citation:
V. E. Ragozina, Yu. E. Ivanova, “Effect of the medium inhomogeneity on the evolution equation of plane shock waves”, Prikl. Mekh. Tekh. Fiz., 54:5 (2013), 142–153; J. Appl. Mech. Tech. Phys., 54:5 (2013), 809–818
Linking options:
https://www.mathnet.ru/eng/pmtf1146 https://www.mathnet.ru/eng/pmtf/v54/i5/p142
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Abstract page: | 23 | Full-text PDF : | 5 |
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