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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 281, Pages 16–31
DOI: https://doi.org/10.1134/S0371968513020039
(Mi tm3476)
 

This article is cited in 22 scientific papers (total in 23 papers)

Numerical and experimental simulation of wave formation during explosion welding

S. K. Godunova, S. P. Kiselevb, I. M. Kulikovc, V. I. Malid

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
c Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
d Lavrent'ev Institute of Hydrodynamics, Novosibirsk, Russia
References:
Abstract: The results of numerical and experimental simulation of wave formation under an oblique impact of metal plates during explosion welding are presented. The numerical simulation was carried out on the basis of the Maxwell relaxation model and by a molecular dynamics method. In the experiments, the impact of metal plates was investigated with X-ray radiography of phenomena in front of and behind the point of contact, and the preserved samples were studied metallographically. It is shown that the numerical simulation correctly reproduces the formation and evolution of waves on the contact boundary. Simultaneously, constraints are pointed out that prohibit the use of the elastoplastic model in the impact zone of the plates starting from the moment when the material of the plate in this zone is decomposed into thin jets. In this zone, the dependence of the specific deformation energy $E$ on the tensor $C_j^i$ is no longer described by a convex function. It is this fact that motivated the transition to the molecular dynamics model.
Received in September 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 281, Pages 12–26
DOI: https://doi.org/10.1134/S0081543813040032
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. K. Godunov, S. P. Kiselev, I. M. Kulikov, V. I. Mali, “Numerical and experimental simulation of wave formation during explosion welding”, Modern problems of mechanics, Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 281, MAIK Nauka/Interperiodica, Moscow, 2013, 16–31; Proc. Steklov Inst. Math., 281 (2013), 12–26
Citation in format AMSBIB
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\by S.~K.~Godunov, S.~P.~Kiselev, I.~M.~Kulikov, V.~I.~Mali
\paper Numerical and experimental simulation of wave formation during explosion welding
\inbook Modern problems of mechanics
\bookinfo Collected papers. Dedicated to Academician Andrei Gennad'evich Kulikovskii on the occasion of his 80th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2013
\vol 281
\pages 16--31
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3476}
\crossref{https://doi.org/10.1134/S0371968513020039}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3479929}
\elib{https://elibrary.ru/item.asp?id=20193376}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2013
\vol 281
\pages 12--26
\crossref{https://doi.org/10.1134/S0081543813040032}
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  • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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