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 -