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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 4, Pages 149–164 (Mi pmtf1391)  
This article is cited in 9 scientific papers (total in 9 papers)

Application of kinetic theory to the analysis of high-temperature creep rupture of metals under complex stress (review)

A. M. Lokoshchenko

Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192, Russia
Full-text PDF (245 kB) Citations (9)
Abstract: This paper gives an analytical review of the results obtained using the kinetic theory of creep and creep rupture to analyze the creep rupture of metals under complex stress. Special note is made of the outstanding contribution of Soviet scientists L. M. Kachanov and Yu. N. Rabotnov, who introduced the concept of material damage and developed the fundamentals of the kinetic theory. Different versions of this theory are used in studies of Russian and foreign scientists. The possibility of applying the kinetic theory to model the deformation and fracture of metals under creep conditions using scalar, vector, and tensor damage parameters and their combinations is considered.
Keywords: creep-rupture strength, creep, complex stress, time to failure, damage, kinetic theory, scalar parameter, vector parameter, tensor parameter, anisotropy.
Received: 23.11.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 4, Pages 599–610
DOI: https://doi.org/10.1134/S0021894412040141
Bibliographic databases:
Document Type: Article
UDC: 539.376; 539.42
Language: Russian
Citation: A. M. Lokoshchenko, “Application of kinetic theory to the analysis of high-temperature creep rupture of metals under complex stress (review)”, Prikl. Mekh. Tekh. Fiz., 53:4 (2012), 149–164; J. Appl. Mech. Tech. Phys., 53:4 (2012), 599–610
Citation in format AMSBIB
\Bibitem{Lok12}
\by A.~M.~Lokoshchenko
\paper Application of kinetic theory to the analysis of high-temperature creep rupture of metals under complex stress (review)
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 4
\pages 149--164
\mathnet{http://mi.mathnet.ru/pmtf1391}
\elib{https://elibrary.ru/item.asp?id=17994679}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 4
\pages 599--610
\crossref{https://doi.org/10.1134/S0021894412040141}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1391
  • https://www.mathnet.ru/eng/pmtf/v53/i4/p149
    • This publication is cited in the following 9 articles:
    1. Regina Saitova, Alexander Arutyunyan, Holm Altenbach, “High temperature creep and embrittlement in metals and alloys under conditions of the long-term usage”, Acta Mech, 2024  crossref
    2. N. K. Akhmedov, S. A. Piriev, M. A. Rustamova, “Mathemat{\i}cal Invest{\i}gat{\i}on of Long-Term Strength Issues of Cyl{\i}ndr{\i}cal Rods Made of Her{\i}tage-Type Damageable Mater{\i}als Dur{\i}ng Tors{\i}on”, Mech. Solids, 59:3 (2024), 1603  crossref
    3. R. R. Saitova, F. M. Borodich, A. R. Arutyunyan, “Development of the Damage Concept in Mechanics of Materials”, Prikladnaâ matematika i mehanika, 88:2 (2024), 271  crossref
    4. V. P. Radchenko, E. A. Afanaseva, M. N. Saushkin, “Prediction of creep and long-term strength of material using a leader sample under ductile fracture conditions”, J. Appl. Mech. Tech. Phys., 64:6 (2024), 1119–1127  mathnet  crossref  crossref  elib
    5. L. V. Kovtanyuk, “Analytical Solution to the Creep Problem of a Viscoelastic Material in a Round Tube”, Dokl. Phys., 68:12 (2023), 422  crossref
    6. Vasilii Gorokhov, Dmitrii Kazakov, Sergei Kapustin, Yuriy Churilov, “Simulation of fracture of heat-resistant alloys under creep and neutron irradiation conditions”, Procedia Structural Integrity, 28 (2020), 1416  crossref
    7. E. B. Kuznetsov, S. S. Leonov, “Passage through limiting singular points by applying the method of solution continuation with respect to a parameter in inelastic deformation problems”, Comput. Math. Math. Phys., 60:12 (2020), 1964–1984  mathnet  mathnet  crossref  crossref  isi  scopus
    8. A. M. Lokoshchenko, L. V. Fomin, W. V. Teraud, Yu. G. Basalov, V. S. Agababyan, “Creep and long-term strength of metals under unsteady complex stress states (Review)”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 224:2 (2020), 275–318  mathnet  mathnet  crossref  isi
    9. Vladimir S. Shorkin, Victoria Yu. Presnetsova, Vadim M. Presniakov, Sergey N. Romashin, Larisa Yu. Frolenkova, Svetlana I. Yakushina, Advanced Structured Materials, 108, New Achievements in Continuum Mechanics and Thermodynamics, 2019, 475  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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