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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2016, Volume 57, Issue 2, Pages 202–211
DOI: https://doi.org/10.15372/PMTF20160221
(Mi pmtf870)
 

This article is cited in 6 scientific papers (total in 6 papers)

Technique for selecting the functions of the constitutive equations of creep and long-term strength with one scalar damage parameter

E. B. Kuznetsov, S. S. Leonov

Moscow Aviation Institute (National Research University), Moscow, 125993, Russia
Full-text PDF (413 kB) Citations (6)
Abstract: The strain-strength characteristics of aerostructures made of hardening materials under uniaxial tension in creep conditions are determined. The problem is reduced to a system of ordinary differential equations of the kinetic theory of creep with one scalar damage parameter. The approximate solutions of the problem are obtained with the help of the implicit Euler method and of the arc length method in combination with the explicit methods of the Runge-Kutta family for cylindrical St.45 steel samples and 3V titanium alloy plates.
Keywords: creep, fracture, damage parameter, solution continuation with respect to a parameter, the best parameterization, technique for determining functional dependences, systems of differential equations.
Received: 29.05.2014
Revised: 16.04.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2016, Volume 57, Issue 2, Pages 369–377
DOI: https://doi.org/10.1134/S0021894416020218
Bibliographic databases:
Document Type: Article
UDC: 539.376
Language: Russian
Citation: E. B. Kuznetsov, S. S. Leonov, “Technique for selecting the functions of the constitutive equations of creep and long-term strength with one scalar damage parameter”, Prikl. Mekh. Tekh. Fiz., 57:2 (2016), 202–211; J. Appl. Mech. Tech. Phys., 57:2 (2016), 369–377
Citation in format AMSBIB
\Bibitem{KuzLeo16}
\by E.~B.~Kuznetsov, S.~S.~Leonov
\paper Technique for selecting the functions of the constitutive equations of creep and long-term strength with one scalar damage parameter
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2016
\vol 57
\issue 2
\pages 202--211
\mathnet{http://mi.mathnet.ru/pmtf870}
\crossref{https://doi.org/10.15372/PMTF20160221}
\elib{https://elibrary.ru/item.asp?id=26040249}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2016
\vol 57
\issue 2
\pages 369--377
\crossref{https://doi.org/10.1134/S0021894416020218}
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  • https://www.mathnet.ru/eng/pmtf/v57/i2/p202
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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