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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 2, Pages 140–146 (Mi pmtf2021)  

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

Nonlinear stochastic creep problem for an inhomogeneous plane with the damage to the material taken into account

N. N. Popov, V. P. Radchenko

Samara State Technical University, Samara, 443100
Full-text PDF (165 kB) Citations (6)
Abstract: An analytical method for the solution of two-dimensional nonlinear creep problems is developed using as an example the biaxial extension of a plane from a stochastically inhomogeneous material with damage accumulation and the third stage of creep taken into account. The governing creep relation is adopted in accordance with the energetic version of the nonlinear theory of viscous flow. The stochasticity of the material is defined by two random functions of coordinates. Formulas for calculating the stress variance are obtained.
Keywords: stochastic inhomogeneity, steady-state creep, damage, random function, stress variance.
Received: 26.04.2006
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 2, Pages 265–270
DOI: https://doi.org/10.1007/s10808-007-0034-7
Bibliographic databases:
Document Type: Article
UDC: 539.376
Language: Russian
Citation: N. N. Popov, V. P. Radchenko, “Nonlinear stochastic creep problem for an inhomogeneous plane with the damage to the material taken into account”, Prikl. Mekh. Tekh. Fiz., 48:2 (2007), 140–146; J. Appl. Mech. Tech. Phys., 48:2 (2007), 265–270
Citation in format AMSBIB
\Bibitem{PopRad07}
\by N.~N.~Popov, V.~P.~Radchenko
\paper Nonlinear stochastic creep problem for an inhomogeneous plane with the damage to the material taken into account
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 2
\pages 140--146
\mathnet{http://mi.mathnet.ru/pmtf2021}
\elib{https://elibrary.ru/item.asp?id=17249425}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 2
\pages 265--270
\crossref{https://doi.org/10.1007/s10808-007-0034-7}
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  • https://www.mathnet.ru/eng/pmtf/v48/i2/p140
  • 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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