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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 3, Pages 157–163 (Mi pmtf1918)  

This article is cited in 9 scientific papers (total in 9 papers)

Mathematical model of creep for a microinhomogeneous nonlinearly elastic material

V. P. Radchenko, D. V. Shapievskii

Samara State Technical University, Samara, 443100
Full-text PDF (221 kB) Citations (9)
Abstract: A mathematical model is proposed to describe the experimentally observed creep effect on the instantaneous elastic deformation of physically nonlinear elastic microinhomogeneous materials. Using a structural model of the medium, it is shown that, during unloading of a sample after creep at constant stress, the elastic strain can be both larger and smaller than the elastic strain during loading. It is shown that calculation results for a biocomposite material are in good agreement with experimental data.
Keywords: nonlinear elasticity, creep, microinhomogeneous medium, structural model, unloading theorem, experimental data.
Received: 01.02.2007
Accepted: 18.05.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 3, Pages 478–483
DOI: https://doi.org/10.1007/s10808-008-0064-9
Bibliographic databases:
Document Type: Article
UDC: 539.376
Language: Russian
Citation: V. P. Radchenko, D. V. Shapievskii, “Mathematical model of creep for a microinhomogeneous nonlinearly elastic material”, Prikl. Mekh. Tekh. Fiz., 49:3 (2008), 157–163; J. Appl. Mech. Tech. Phys., 49:3 (2008), 478–483
Citation in format AMSBIB
\Bibitem{RadSha08}
\by V.~P.~Radchenko, D.~V.~Shapievskii
\paper Mathematical model of creep for a microinhomogeneous nonlinearly elastic material
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 3
\pages 157--163
\mathnet{http://mi.mathnet.ru/pmtf1918}
\elib{https://elibrary.ru/item.asp?id=11665348}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 3
\pages 478--483
\crossref{https://doi.org/10.1007/s10808-008-0064-9}
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  • https://www.mathnet.ru/eng/pmtf/v49/i3/p157
  • This publication is cited in the following 9 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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