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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 8, Pages 1481–1498 (Mi zvmmf4925)  
This article is cited in 31 scientific papers (total in 32 papers)

A thermodynamically consistent nonlinear model of an elastoplastic Maxwell medium

S. K. Godunov, I. M. Peshkov

Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090 Russia
Full-text PDF (512 kB) Citations (32)
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Abstract: The paper is devoted to new applications of the ideas underlying Godunov's method that was developed as early as in the 1950s for solving fluid dynamics problems. This paper deals with elastoplastic problems. Based on an elastic model and its modification obtained by introducing the Maxwell viscosity, a method for modeling plastic deformations is proposed.
Key words: mathematical modeling, large deformations of elastoplastic medium, Godunov's finite volume method, numerical algorithm.
Received: 13.11.2009
Revised: 31.03.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 8, Pages 1409–1426
DOI: https://doi.org/10.1134/S0965542510080117
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. K. Godunov, I. M. Peshkov, “A thermodynamically consistent nonlinear model of an elastoplastic Maxwell medium”, Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010), 1481–1498; Comput. Math. Math. Phys., 50:8 (2010), 1409–1426
Citation in format AMSBIB
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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