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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2013 Volume 281, Pages 16–31 (Mi tm3476)

This article is cited in 22 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

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.

UDC: 519.634

Received in September 2012

DOI: 10.1134/S0371968513020039


 English version:
Proceedings of the Steklov Institute of Mathematics, 2013, 281, 12–26

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