Numerical simulation of equilibrium of an elastic two-layer structure with a through crack

Numerical simulation of equilibrium of an elastic two-layer structure with a through crack Full article

Journal

Numerical Analysis and Applications
ISSN: 1995-4239

Output data

Year: 2017, Volume: 10, Number: 1, Pages: 63-73 Pages count : 11 DOI: 10.1134/S1995423917010074

Tags

crack; domain decomposition method; non-penetration condition; two-layer structure; Uzawa algorithm; variational inequality

Authors

Rudoy E.M. ¹ , Kazarinov N.A. ¹ , Slesarenko V.Y. ¹

Affiliations

1	Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russian Federation

In this paper, a problem of equilibrium of two elastic bodies pasted together along a curve is considered. It is assumed that there is a through crack on a part of the curve. Nonlinear boundary conditions providing mutual non-penetration between the crack faces are set. The main objective of the paper is to construct and test a numerical algorithm for solving the equilibrium problem. The algorithm is based on two approaches: a domain decomposition method and Uzawa method for solving variational inequalities. A numerical experiment illustrates the efficiency of the algorithm. © 2017, Pleiades Publishing, Ltd.

Rudoy E.M. , Kazarinov N.A. , Slesarenko V.Y.
Numerical simulation of equilibrium of an elastic two-layer structure with a through crack
Numerical Analysis and Applications. 2017. V.10. N1. P.63-73. DOI: 10.1134/S1995423917010074 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000396367300007
Scopus:	2-s2.0-85014799206
Elibrary:	29494985
OpenAlex:	W2594487769

DB	Citing
Scopus	10
OpenAlex	8
Elibrary	9
Web of science	7