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Matematicheskoe modelirovanie, 2017, Volume 29, Number 10, Pages 95–104 (Mi mm3902)  

This article is cited in 18 scientific papers (total in 18 papers)

Modeling of the contact interaction between a nonuniform foundation and rough punch

A. V. Manzhirovabcd, K. E. Kazakovab

a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
b Bauman Moscow State Technical University, Moscow
c National Research Nuclear University MEPhI, Moscow
d Moscow Technological University (MIREA), Moscow
References:
Abstract: Contact problem for a double foundation and a rigid punch is considered. It is assumed that the surface nonuniformity of the thin upper layer and the shape of the die base can be described by complex rapidly changing functions. A projection method is developed which allows one to obtain the solution of the equation with high accuracy that cannot be done by known methods. An algorithm of numerical-analytical calculation is described. A model example is presented.
Keywords: contact interaction, nonuniformity, coating, foundation, integral equation.
Funding agency Grant number
Russian Foundation for Basic Research 17-51-80010 БРИКС_а
16-31-00320 мол_а
Received: 09.02.2017
English version:
Mathematical Models and Computer Simulations, 2018, Volume 10, Issue 3, Pages 314–321
DOI: https://doi.org/10.1134/S2070048218030109
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Manzhirov, K. E. Kazakov, “Modeling of the contact interaction between a nonuniform foundation and rough punch”, Matem. Mod., 29:10 (2017), 95–104; Math. Models Comput. Simul., 10:3 (2018), 314–321
Citation in format AMSBIB
\Bibitem{ManKaz17}
\by A.~V.~Manzhirov, K.~E.~Kazakov
\paper Modeling of the contact interaction between a nonuniform foundation and rough punch
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 10
\pages 95--104
\mathnet{http://mi.mathnet.ru/mm3902}
\elib{https://elibrary.ru/item.asp?id=30060384}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 3
\pages 314--321
\crossref{https://doi.org/10.1134/S2070048218030109}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85048119163}
Linking options:
  • https://www.mathnet.ru/eng/mm3902
  • https://www.mathnet.ru/eng/mm/v29/i10/p95
  • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Full-text PDF :64
    References:44
    First page:2
     
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