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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021 Number 2, Pages 48–52 (Mi vmumm4393)

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Explosion problems for surface charges

V. A. Maksimenko, S. L. Tolokonnikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A plane problem of the formation of a crater as a result of the explosion of a line charge on the surface of the ground is investigated within the solid–liquid formulation. The explosion crater is supposed to be a polygonal line with two angular points. The exact solution to the problem is constructed. A parametric analysis is performed. The calculated profiles of the explosion crater are presented for some governing parameters of the problem. Restrictions on the governing parameters are given, limiting cases are considered.

Key words: explosion, surface of the ground, inviscid incompressible fluid, pulse-hydrodynamic model.

UDC: 532.5.031, 626.131.3

Received: 20.11.2019


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2021, 76:2, 50–54

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