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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2017, Volume 27, Issue 3, Pages 396–413 (Mi vuu597)  

MECHANICS

Space semidiscrete formulation of contact algorithm based on the Schwarz's decomposition method for deformable bodies

A. S. Karavaeva, S. P. Kopysovba

a Institute of Mechanics, Ural Branch of the Russian Academy of Sciences, ul. T. Baramzinoi, 34, Izhevsk, 426067, Russia
b Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia

Abstract: Implicit integration scheme for Schwarz alternating method for dynamic contact interaction problems of two interacting volumetric bodies without friction is considered. The paper presents the results of testing a contact algorithm of Schwarz domain decomposition using HTT-$\alpha$ scheme in consistent method redistribution of mass on the boundary of contact. To prevent artificial oscillations on the contact boundary together with common dissipative properties of the $\alpha$-scheme, the consistent mass redistribution method was used. The main advantage of this approach is the option to use multigrid methods to speed up the algorithm on subdomains, also there is no need for contact elements, contact parameters, Lagrange multipliers or regularization. Numerical examples including various contact zones, different materials of contact bodies and comparisons with measurements of other methods show the wide applicability of the derived algorithm.

Keywords: dynamic contact analysis, Schwarz alternating method, mass redistribution, implicit schemes.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00402_а


DOI: https://doi.org/10.20537/vm170309

Full text: PDF file (697 kB)
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Document Type: Article
UDC: 517.95
MSC: 74S05, 74H15
Received: 04.08.2017

Citation: A. S. Karavaev, S. P. Kopysov, “Space semidiscrete formulation of contact algorithm based on the Schwarz's decomposition method for deformable bodies”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:3 (2017), 396–413

Citation in format AMSBIB
\Bibitem{KarKop17}
\by A.~S.~Karavaev, S.~P.~Kopysov
\paper Space semidiscrete formulation of contact algorithm based on the Schwarz's decomposition method for deformable bodies
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2017
\vol 27
\issue 3
\pages 396--413
\mathnet{http://mi.mathnet.ru/vuu597}
\crossref{https://doi.org/10.20537/vm170309}
\elib{http://elibrary.ru/item.asp?id=30267250}


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  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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