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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014 Number 2, Pages 37–45 (Mi vmumm307)

This article is cited in 1 paper

Mechanics

Elastoplastic problems in the uniaxially strained state approximation. Analytical and numerical solutions

A. B. Kiselev, A. V. Mischenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A detailed study of a shock-wave structure and an unloading wave for elastoplastic problems in the one-dimensional deformed state approximation is given. A brief description of a numerical algorithm is also given. The verification of the TIS software complex is discussed for one-dimensional plane problems. This complex is based on the method of separation into physical processes and on the finite volume method using moving Eulerian grids.

Key words: elastoplastic model, analytical and numerical solutions, method of separation into physical processes, finite volume method, moving Eulerian grids.

UDC: 539.3

Received: 03.09.2012


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2014, 69:2, 35–43

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