RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2019, Volume 23, Number 2, Pages 270–283 (Mi vsgtu1687)  

Mechanics of Solids

Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading

K. N. Galimzyanovaa, L. V. Kovtanyuka, G. L. Panchenkoab

a Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences, Vladivostok, 690041, Russian Federation
b Vladivostok State University of Economics and Service, Vladivostok, 690014, Russian Federation

Abstract: The purpose of the research is to investigate the processes of accumulation of irreversible deformations through different mechanisms: creep and plastic flow. Initially irreversible deformations are produced due to the viscous properties of solid material as creep deformations. The mechanism of the production of irreversible deformations changes to plastic when stress state reach the yield surface. On the contrary, this mechanism changes from fast plastic to slow viscous during unloading. The continuity in such increase in irreversible deformations is provided by the corresponding set of creep and plasticity potentials. These processes are considered in the framework of the mathematical theory of small deformations on the example of a one-dimensional problem of the deforming of a viscoelastoplastic hollow sphere under the influence of volumetric pressure changing with time. The processes of creep and plastic flow under increasing pressure, plastic flow at constant pressure, the medium unloading at decreasing pressure and the repeated plastic flow at the unloading were considered. The regularities of the motion of elastic-plastic boundaries in the material of the hollow sphere were established. The parameters of the stress-strain state of the medium were calculated, stress relaxation after the unloading was investigated.

Keywords: elasticity, creep, plasticity, irreversible deformations

Funding Agency Grant Number
Russian Foundation for Basic Research 18-01-00038
Ministry of Education and Science of the Russian Federation 3.7009.2017/8.9
The work was partially supported by the Russian Foundation for Basic Research (project no. 18–01–00038), the Ministry of Science and Higher Education of the Russian Federation in the framework of the project no. 3.7009.2017/8.9 of the basic part of the state task to perform works in the field of scientific activity.


DOI: https://doi.org/10.14498/vsgtu1687

Full text: PDF file (960 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
References: PDF file   HTML file

Bibliographic databases:

UDC: 539.372
MSC: 74C10
Received: April 9, 2019
Revised: May 28, 2019
Accepted: June 10, 2019
First online: June 25, 2019

Citation: K. N. Galimzyanova, L. V. Kovtanyuk, G. L. Panchenko, “Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:2 (2019), 270–283

Citation in format AMSBIB
\Bibitem{GalKovPan19}
\by K.~N.~Galimzyanova, L.~V.~Kovtanyuk, G.~L.~Panchenko
\paper Creep and plastic flow of a spherical viscoelastic layer material at its loading and unloading
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2019
\vol 23
\issue 2
\pages 270--283
\mathnet{http://mi.mathnet.ru/vsgtu1687}
\crossref{https://doi.org/10.14498/vsgtu1687}


Linking options:
  • http://mi.mathnet.ru/eng/vsgtu1687
  • http://mi.mathnet.ru/eng/vsgtu/v223/i2/p270

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Number of views:
    This page:52
    Full text:15
    References:11

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019