Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find




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

Preprints of the Keldysh Institute of Applied Mathematics, 2019, 087, 27 pp.
DOI: https://doi.org/10.20948/prepr-2019-87 (Mi ipmp2725) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical modeling of the contact problem for two elastic bodies with curvilinear boundaries on mismatched grids

P. S. Aronov, A. S. Rodin
Full-text PDF (2663 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.20948/prepr-2019-87
Abstract: Algorithms for solving two-dimensional contact problems of the elasticity theory using mortar-method and domain decomposition method are considered. For the mortar-method the influence of the choice of master and slave bodies on the distribution of normal displacements and stresses on the contact line is investigated using the test problems with curvilinear boundaries. The influence of the contact boundaries geometry and the choice of the active body on the oscillations amplitude of displacements and stresses at using mismatched grids is discussed.
Keywords: contact problem of the elasticity theory, finite element method, mortar-method, domain decomposition method, successive over-relaxation method.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00252_а
18-31-20020_Стабильность
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: P. S. Aronov, A. S. Rodin, “Mathematical modeling of the contact problem for two elastic bodies with curvilinear boundaries on mismatched grids”, Keldysh Institute preprints, 2019, 087, 27 pp.
Citation in format AMSBIB
\Bibitem{AroRod19}
\by P.~S.~Aronov, A.~S.~Rodin
\paper Mathematical modeling of the contact problem for two elastic bodies with curvilinear boundaries on mismatched grids
\jour Keldysh Institute preprints
\yr 2019
\papernumber 087
\totalpages 27
\mathnet{http://mi.mathnet.ru/ipmp2725}
\crossref{https://doi.org/10.20948/prepr-2019-87}
\elib{https://elibrary.ru/item.asp?id=39542823}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2725
  • https://www.mathnet.ru/eng/ipmp/y2019/p87
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:120
    Full-text PDF :42
    References:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024