Plastic collapse analysis of cracked structures using extended isogeometric elements and second-order cone programming

被引：24
|
作者：
Nguyen-Xuan, H. [1 ]
Tran, Loc V. [2 ]
Thai, Chien H. [3 ]
Le, Canh V. [4 ]
机构：
[1] Univ Sci, VNU HCMC, Fac Math & Comp Sci, Dept Mech, Ho Chi Minh City, Vietnam
[2] Sejong Univ, Dept Architectural Engn, Seoul 143747, South Korea
[3] Ton Duc Thang Univ, Div Computat Mech, Hanoi, Vietnam
[4] Int Univ, VNU HCMC, Dept Civil Engn, Ho Chi Minh City, Vietnam
来源：
THEORETICAL AND APPLIED FRACTURE MECHANICS | 2014年 / 72卷
基金：
新加坡国家研究基金会;
关键词：
Rigid-perfect plasticity; Cracked structure; Limit analysis; Isogeometric analysis; Second-order cone programming; PHANTOM-NODE METHOD; LAMINATED COMPOSITE; LIMIT ANALYSIS; SHAKEDOWN ANALYSIS; BUCKLING ANALYSIS; MESHFREE METHOD; LOWER BOUNDS; FORMULATION; LOADS; NURBS;
D O I：
10.1016/j.tafmec.2014.07.008
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
We investigate a numerical procedure based on extended isogeometric elements in combination with second-order cone programming (SOCP) for assessing collapse limit loads of cracked structures. We exploit alternative basis functions, namely B-splines or non-uniform rational B-splines (NURBS) in the context of limit analysis. The optimization formulation of limit analysis is rewritten in the form of second-order cone programming (SOCP) such that interior-point solvers can be exploited efficiently. Numerical examples are given to demonstrate reliability and effectiveness of the present method. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：13 / 27
页数：15
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