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Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam. / Rudoy, E. M.; Lazarev, N. P.

In: Journal of Computational and Applied Mathematics, Vol. 334, 15.05.2018, p. 18-26.

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Rudoy EM, Lazarev NP. Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam. Journal of Computational and Applied Mathematics. 2018 May 15;334:18-26. doi: 10.1016/j.cam.2017.11.019

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Rudoy, E. M. ; Lazarev, N. P. / Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam. In: Journal of Computational and Applied Mathematics. 2018 ; Vol. 334. pp. 18-26.

BibTeX

@article{32cc68c24eb9487fa9bfef2bf8632cf8,
title = "Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam",
abstract = "A body made of fiber-reinforced elastic material is considered. It is assumed that a behavior of a fiber is described by the Timoshenko beam. We propose a method of numerical solving to an equilibrium problem of the fiber-reinforced body. The method is based on the Uzawa algorithm and the domain decomposition technique. A numerical examination is carried out to demonstrate the efficiency of the proposed method.",
keywords = "Domain decomposition method, Fiber-reinforced composite, Timoshenko beam, Uzawa algorithm, DELAMINATION, CONTACT, COMPOSITES, 3D, ELEMENT, EQUILIBRIUM, INCLUSION, BOUNDARY, NUMERICAL-SIMULATION, CRACK PROBLEM",
author = "Rudoy, {E. M.} and Lazarev, {N. P.}",
note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",
year = "2018",
month = may,
day = "15",
doi = "10.1016/j.cam.2017.11.019",
language = "English",
volume = "334",
pages = "18--26",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam

AU - Rudoy, E. M.

AU - Lazarev, N. P.

N1 - Publisher Copyright: © 2017 Elsevier B.V.

PY - 2018/5/15

Y1 - 2018/5/15

N2 - A body made of fiber-reinforced elastic material is considered. It is assumed that a behavior of a fiber is described by the Timoshenko beam. We propose a method of numerical solving to an equilibrium problem of the fiber-reinforced body. The method is based on the Uzawa algorithm and the domain decomposition technique. A numerical examination is carried out to demonstrate the efficiency of the proposed method.

AB - A body made of fiber-reinforced elastic material is considered. It is assumed that a behavior of a fiber is described by the Timoshenko beam. We propose a method of numerical solving to an equilibrium problem of the fiber-reinforced body. The method is based on the Uzawa algorithm and the domain decomposition technique. A numerical examination is carried out to demonstrate the efficiency of the proposed method.

KW - Domain decomposition method

KW - Fiber-reinforced composite

KW - Timoshenko beam

KW - Uzawa algorithm

KW - DELAMINATION

KW - CONTACT

KW - COMPOSITES

KW - 3D

KW - ELEMENT

KW - EQUILIBRIUM

KW - INCLUSION

KW - BOUNDARY

KW - NUMERICAL-SIMULATION

KW - CRACK PROBLEM

UR - http://www.scopus.com/inward/record.url?scp=85042230067&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2017.11.019

DO - 10.1016/j.cam.2017.11.019

M3 - Article

AN - SCOPUS:85042230067

VL - 334

SP - 18

EP - 26

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

ER -

ID: 10354008