DOMAIN DECOMPOSITION METHOD FOR CRACK PROBLEMS WITH NONPENETRATION CONDITION

被引：16

作者：

Rudoy, Evgeny ^{[1
]}

机构：

[1] Novosibirsk State Univ, Lavrentyev Inst Hydrodynam SB RAS, Novosibirsk 630090, Russia

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2016年 / 50卷 / 04期

关键词：

Crack; nonpenetration condition; domain decomposition method; Lagrange multipliers; Uzawa's algorithm; CONTACT PROBLEMS; ALGORITHM; FRICTION; SIGNORINI;

D O I：

10.1051/m2an/2015064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The work deals with an iteration method for numerical solving the equilibrium problem of two-dimensional elastic body with a crack under the nonpenetration condition. The method is based on the domain decomposition and Uzawa's algorithm. To construct an algorithm, the domain is partitioned into two subdomains whose common boundary contains the crack. In each subdomain the linear problems are solved. We use Lagrangian multipliers to couple the solutions and provide the nonpenetration condition on the crack.

引用

页码：995 / 1009

页数：15

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