张向奎

个人信息Personal Information

教授

博士生导师

硕士生导师

任职 : 教育部工业装备监测与控制工程研究中心副主任

性别:男

毕业院校:吉林大学

学位:博士

所在单位:控制科学与工程学院

学科:检测技术与自动化装置. 车辆工程

办公地点:大连理工大学海山楼B1605

联系方式:zhangxk@dlut.edu.cn

电子邮箱:zhangxk@dlut.edu.cn

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A 4-node quasi-conforming quadrilateral element for couple stress theory immune to distorted mesh

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论文类型:期刊论文

发表时间:2016-10-15

发表刊物:COMPUTERS & STRUCTURES

收录刊物:SCIE、EI、Scopus

卷号:175

页面范围:52-64

ISSN号:0045-7949

关键字:Finite element methods; Quasi-conforming; Couple stress theory; Fundamental analytical solutions; Severely distorted mesh

摘要:In this paper, a 4-node quadrilateral quasi-conforming element for couple stress theory is proposed. The formulation starts from truncated Taylor expansion of stresses, then the stress-function matrix is treated as weighted function to weaken the strain-displacement equations. Finally the string-net functions are introduced to calculate strain integration and the stress smooth technique is adopted to improve the stress accuracy of the element. Numerical results show that the proposed new model can pass the C0-1 patch test and possesses excellent precision even when the element shape degenerates into triangle or concave quadrangle, which can capture the scale effects of microstructure. (C) 2016 Elsevier Ltd. All rights reserved.