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Matematicheskoe modelirovanie, 2013, Volume 25, Number 11, Pages 3–16 (Mi mm3414)  
This article is cited in 18 scientific papers (total in 18 papers)

Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method

K. A. Beklemysheva, I. B. Petrov, A. V. Favorskaya

Moscow Institute of Physics and Technology (State University)
Full-text PDF (1327 kB) Citations (18)
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Abstract: A number of problems of dynamic deformation in the presence of moving contact surfaces is considered. A grid-characteristic method, using two-dimensional irregular triangular grid and a hybrid scheme with 1–2 order of approximation is adapted. An algorithm for calculating the force of friction and the force of static friction is proposed. A numerical solution to problems of the wheel rolling, of the generation of shear waves, of acceleration of a plunger in a tube, of ricochet is obtained.
Keywords: mechanics deformable rigid body, grid-characteristic method, irregular grid, Delaunay triangulation, dynamic contact, collision detection, friction, seismic surveys, method of falling load.
Received: 22.03.2012
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 3, Pages 294–304
DOI: https://doi.org/10.1134/S207004821403003X
Bibliographic databases:
Document Type: Article
UDC: 519.22
Language: Russian
Citation: K. A. Beklemysheva, I. B. Petrov, A. V. Favorskaya, “Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method”, Matem. Mod., 25:11 (2013), 3–16; Math. Models Comput. Simul., 6:3 (2014), 294–304
Citation in format AMSBIB
\Bibitem{BekPetFav13}
\by K.~A.~Beklemysheva, I.~B.~Petrov, A.~V.~Favorskaya
\paper Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 11
\pages 3--16
\mathnet{http://mi.mathnet.ru/mm3414}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 3
\pages 294--304
\crossref{https://doi.org/10.1134/S207004821403003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925960139}
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    • 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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    Abstract page:437
    Full-text PDF :130
    References:77
    First page:23
     
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