Domain decomposition method for a membrane with a delaminated thin rigid inclusion

Domain decomposition method for a membrane with a delaminated thin rigid inclusion Full article

Journal

Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304

Output data

Year: 2016, Volume: 13, Number: 1, Pages: 395-410 Pages count : 16 DOI: 10.17377/semi.2016.13.035

Tags

Crack; Domain decomposition method; Nonpenetration condition; Thin rigid inclusion; Uzawa algorithm; Variational inequality

Authors

Rudoy E.M. ^1,2 , Shcherbakov V.V. ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics of the Russian Academy of Sciences, Pr. Lavrenyeva, 15, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Ul. Pirogova, 2, Novosibirsk, 630090, Russian Federation

The paper deals with the numerical solution of an equilibrium problem for an elastic membrane with a thin rigid inclusion. The thin inclusion is supposed to delaminate, therefore a crack between the inclusion and the membrane is considered. The boundary conditions for nonpenetration of the crack faces are fulfilled. We provide the relaxation of the problem and propose an iterative method for the numerical solution of the approximated problem. The method is based on a domain decomposition and the Uzawa algorithm for finding a saddle point of the Lagrangian. Examples of the numerical solution of the initial problem are presented. © 2016 Rudoy E.M., Shcherbakov V.V.

Rudoy E.M. , Shcherbakov V.V.
Domain decomposition method for a membrane with a delaminated thin rigid inclusion
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2016. V.13. N1. P.395-410. DOI: 10.17377/semi.2016.13.035 WOS Scopus РИНЦ

Web of science:	WOS:000407781100035
Scopus:	2-s2.0-84974839106
Elibrary:	28127170

DB	Citing
Scopus	16
Web of science	8
Elibrary	15