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

被引：7

作者：

Rudoy E.M. ^{[1
]}

Kazarinov N.A. ^{[1
]}

Slesarenko V.Y. ^{[1
]}

机构：

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

来源：

Numerical Analysis and Applications | 2017年 / 10卷 / 1期

关键词：

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

D O I：

10.1134/S1995423917010074

中图分类号：

学科分类号：

摘要：

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.

引用

页码：63 / 73

页数：10

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