Sibirskii Zhurnal Vychislitel'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 151–156 (Mi sjvm465)  

Numerical solution of dynamic problems of elastoplastic deformation of solids

I. O. Bogulskiia, Yu. M. Volchkovbc

a Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk
b M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
c Novosibirsk State University, Novosibirsk
References:
Abstract: Numerical algorithms for solving two-dimensional dynamic problems of elasticity theory were developed based upon several local approximations for each of the required functions. The schemes contain free parameters (constants of dissipation). The explicit form for formulas of the artificial dissipation of solutions allows us to control its size and to build effective both explicit and implicit schemes. As an example, the principle of constructing such schemes is presented for a plane dynamic problem of elasticity theory. We describe a class of problems, for which numerical algorithms are constructed using several local approximations for each of the required functions. Examples of solving applied problems are given.
Key words: dynamic problem of elasticity theory, local approximation of required functions, implicit and explicit finite difference schemes.
Received: 31.10.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 2, Pages 124–128
DOI: https://doi.org/10.1134/S1995423912020048
Bibliographic databases:
Document Type: Article
UDC: 539.3+519.6
Language: Russian
Citation: I. O. Bogulskii, Yu. M. Volchkov, “Numerical solution of dynamic problems of elastoplastic deformation of solids”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 151–156; Num. Anal. Appl., 5:2 (2012), 124–128
Citation in format AMSBIB
\Bibitem{BogVol12}
\by I.~O.~Bogulskii, Yu.~M.~Volchkov
\paper Numerical solution of dynamic problems of elastoplastic deformation of solids
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 2
\pages 151--156
\mathnet{http://mi.mathnet.ru/sjvm465}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 2
\pages 124--128
\crossref{https://doi.org/10.1134/S1995423912020048}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862135970}
Linking options:
  • https://www.mathnet.ru/eng/sjvm465
  • https://www.mathnet.ru/eng/sjvm/v15/i2/p151
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Sibirskii Zhurnal Vychislitel'noi Matematiki
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024