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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 6, Pages 144–151
(Mi pmtf2215)
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This article is cited in 2 scientific papers (total in 2 papers)
On axisymmetric motion of an incompressible elastic medium under impact loading
Yu. E. Ivanova, V. E. Ragozina Institute of Automatics and Control Process, Far East Division, Russian Academy of Sciences, Vladivostok, 690041
Abstract:
The method of matched asymptotic expansions was employed to obtain approximate solutions to the one-dimensional boundary-value problems of nonlinear dynamic elasticity theory of impact loading on the surface of a cylindrical cavity of an incompressible medium that causes antiplane motion or torsion of the medium. The expansion of the solution in the near-front region is based on solutions of evolution equations different from the equations for quasi-simple waves.
Keywords:
nonlinear elasticity, shock wave, perturbation method, evolution equation.
Received: 01.12.2005
Citation:
Yu. E. Ivanova, V. E. Ragozina, “On axisymmetric motion of an incompressible elastic medium under impact loading”, Prikl. Mekh. Tekh. Fiz., 47:6 (2006), 144–151; J. Appl. Mech. Tech. Phys., 47:6 (2006), 892–898
Linking options:
https://www.mathnet.ru/eng/pmtf2215 https://www.mathnet.ru/eng/pmtf/v47/i6/p144
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Abstract page: | 13 | Full-text PDF : | 5 |
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