Upper and lower bounds on quantities of interest for contact problems

被引：3

作者：

Wang, Li ^{[1
]}

Zhong, Hongzhi ^{[2
]}

机构：

[1] Sun Yat Sen Univ, Dept Appl Mech & Engn, Guangzhou, Guangdong, Peoples R China

[2] Tsinghua Univ, Dept Civil Engn, Beijing, Peoples R China

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2017年 / 317卷

基金：

中国国家自然科学基金;

关键词：

Upper bound of discretization error; Upper and lower bounds on quantities; Constitutive relation error (CRE); Contact force; Contact problem; POSTERIORI ERROR ESTIMATORS; STRICT UPPER;

D O I：

10.1016/j.cma.2017.01.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is devoted to acquiring strict bounds on discretization error as well as quantities of interest for contact problems. On the one hand, there are two key steps in estimating the discretization error: the first is the proper construction of approximate contact forces and the second is the utilization of the strict upper bounding property inherent in the constitutive relation error (CRE). On the other hand, upper and lower bounds on quantities of interest are derived through an optimization procedure. Academic examples are performed to verify the proposed bounds. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：817 / 835

页数：19

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