Numerical analysis of the problems of contact of three elastic bodies by the domain decomposition methods

被引：0
|
作者：
Prokopyshyn, I. I. [1 ]
Dyyak, I. I. [2 ]
Martynyak, R. M. [1 ]
机构：
[1] Ukrainian Natl Acad Sci, Pidstryhach Inst Appl Problems Mech & Math, Lvov, Ukraine
[2] Franko Lviv Natl Univ, Lvov, Ukraine
来源：
MATERIALS SCIENCE | 2013年 / 49卷 / 01期
关键词：
contact of elastic bodies; variational inequalities; penalty method; iterative methods; domain decomposition methods; finite-element method; ALGORITHM;
D O I：
10.1007/s11003-013-9581-7
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We study the domain decomposition methods for the numerical solution of the problems of frictionless unilateral contact of many elastic bodies of finite sizes. By using the finite-element approximations, we solve the problems of the unilateral contact of three elastic bodies compressed by rigid plates and the contact of three fixed bodies one of which is subjected to the action of an external load. The distributions of normal contact and equivalent stresses in the bodies are analyzed.
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页码：45 / 58
页数：14
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