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

页码：13 / 27

页数：15

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