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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 1, Pages 66–72 (Mi pmtf2339)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical model for the numerical solution of nonstationary problems in solid mechanics by a modified Godunov method

V. L. Kolmogorova, O. A. Makotrab, N. Ya. Moiseevb

a Institute of Machine Science, Ural Division, Russian Academy of Sciences, Ekaterinburg, 620219
b Institute of Technical Physics, Snezhinsk, 456770
Full-text PDF (241 kB) Citations (3)
Abstract: A mathematical model of substance behavior under developed elastoplastic strains is worked out for solving one-dimensional problems of solid mechanics. The model is based on the fundamental laws of conservation of mass, momentum, and total energy, Wilkins model, kinetic model of substance destruction, and modified Godunov method for the numerical solution of problems in mathematical physics. A hybrid difference scheme is constructed, which approximates acoustics equations with constant coefficients in smooth flows for the case of plane symmetry with the second order in time and space.
Keywords: dynamics, elastoplastic strain, destruction, numerical solution.
Received: 11.10.2002
Accepted: 06.05.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 1, Pages 54–59
DOI: https://doi.org/10.1023/B:JAMT.0000009174.66897.dc
Bibliographic databases:
Document Type: Article
UDC: 519.683.2
Language: Russian
Citation: V. L. Kolmogorov, O. A. Makotra, N. Ya. Moiseev, “Mathematical model for the numerical solution of nonstationary problems in solid mechanics by a modified Godunov method”, Prikl. Mekh. Tekh. Fiz., 45:1 (2004), 66–72; J. Appl. Mech. Tech. Phys., 45:1 (2004), 54–59
Citation in format AMSBIB
\Bibitem{KolMakMoi04}
\by V.~L.~Kolmogorov, O.~A.~Makotra, N.~Ya.~Moiseev
\paper Mathematical model for the numerical solution of nonstationary problems in solid mechanics by a modified Godunov method
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 1
\pages 66--72
\mathnet{http://mi.mathnet.ru/pmtf2339}
\elib{https://elibrary.ru/item.asp?id=17249177}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 1
\pages 54--59
\crossref{https://doi.org/10.1023/B:JAMT.0000009174.66897.dc}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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