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Mathematical notes of NEFU, 2016, Volume 23, Issue 4, Pages 99–114 (Mi svfu43)  
Mathematical modeling

Modified duality scheme for numerical simulation of the contact between elastic bodies

A. Zhiltsov

Far Eastern State Transport University, 47 Seryshev Street, Khabarovsk 680021, Russia
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Abstract: We consider the problem of unilateral contact of two elastic bodies, a static problem in displacements. Bodies are influenced by volume and surface forces, while frictional forces are absent. Justification of use of the modified Lagrangian functionals method is given. We provide the results of numerical calculations.
Keywords: Lagrangian functional, finite element method, duality scheme, elastic contact.
Received: 18.08.2016
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Document Type: Article
UDC: 519.853
Language: Russian
Citation: A. Zhiltsov, “Modified duality scheme for numerical simulation of the contact between elastic bodies”, Mathematical notes of NEFU, 23:4 (2016), 99–114
Citation in format AMSBIB
\Bibitem{Zhi16}
\by A.~Zhiltsov
\paper Modified duality scheme for numerical simulation of the contact between elastic bodies
\jour Mathematical notes of NEFU
\yr 2016
\vol 23
\issue 4
\pages 99--114
\mathnet{http://mi.mathnet.ru/svfu43}
\elib{https://elibrary.ru/item.asp?id=29959207}
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