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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2023, Volume 64, Issue 4, Pages 152–160
DOI: https://doi.org/10.15372/PMTF202215206 (Mi pmtf1682) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Stress relaxation in a bended viscoelastic plate with tension-compression asymmetry

G. M. Sevastyanov, K. S. Bormotin

Komsomolsk-na-Amure State University, Komsomolsk-on-Amur, Russia
Full-text PDF (251 kB) First page Citations (4)
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DOI: https://doi.org/10.15372/PMTF202215206
Abstract: The paper presents an analytical solution of the problem of stress relaxation in a bended viscoelastic plate. The effect the difference in the viscous properties of the material in tension and compression on the relaxation of the bending moment is investigated. The deformation is assumed to be finite, and the multiplicative decomposition of the deformation gradient tensor into elastic and inelastic components is used. Two different material models with tension-compression asymmetry are compared.
Keywords: viscoelasticity, bending, tension–compression asymmetry.
Funding agency Grant number
Russian Science Foundation 21-11-00165
Received: 12.09.2022
Revised: 28.11.2022
Accepted: 26.12.2022
English version:
Journal of Applied Mechanics and Technical Physics, 2023, Volume 64, Issue 4, Pages 686–692
DOI: https://doi.org/10.1134/S0021894423040144
Bibliographic databases:
Document Type: Article
UDC: 539.376
Language: Russian
Citation: G. M. Sevastyanov, K. S. Bormotin, “Stress relaxation in a bended viscoelastic plate with tension-compression asymmetry”, Prikl. Mekh. Tekh. Fiz., 64:4 (2023), 152–160; J. Appl. Mech. Tech. Phys., 64:4 (2023), 686–692
Citation in format AMSBIB
\Bibitem{SevBor23}
\by G.~M.~Sevastyanov, K.~S.~Bormotin
\paper Stress relaxation in a bended viscoelastic plate with tension-compression asymmetry
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2023
\vol 64
\issue 4
\pages 152--160
\mathnet{http://mi.mathnet.ru/pmtf1682}
\crossref{https://doi.org/10.15372/PMTF202215206}
\elib{https://elibrary.ru/item.asp?id=54283720}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2023
\vol 64
\issue 4
\pages 686--692
\crossref{https://doi.org/10.1134/S0021894423040144}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1682
  • https://www.mathnet.ru/eng/pmtf/v64/i4/p152
    • This publication is cited in the following 4 articles:
    1. S. N. Antontsev, I. V. Kuznetsov, S. A. Sazhenkov, “Impulsnye uravneniya Kelvina–Foigta dinamiki neszhimaemoi vyazkouprugoi zhidkosti”, Prikl. mekh. tekhn. fiz., 65:5 (2024), 28–42  mathnet  crossref
    2. S. N. Antontsev, I. V. Kuznetsov, S. A. Sazhenkov, “Kelvin–Voigt impulse equations of incompressible viscoelastic fluid dynamics”, J. Appl. Mech. Tech. Phys., 65:5 (2024), 815–828  mathnet  mathnet  crossref  crossref
    3. G. M. Sevastyanov, “Stress Relaxation in Bended Viscoelastic Plate with Tension-Compression Asymmetry”, Prikladnaya matematika i mekhanika, 87:5 (2023), 883  crossref
    4. G. M. Sevastyanov, “On Stress Relaxation in Bended Viscoelastic Plate with Tension–Compression Asymmetry”, Mech. Solids, 58:8 (2023), 2920  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:20
    First page:13
     
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