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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Assumed stress quasi-conforming triangular element for couple stress theory

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论文类型:期刊论文

第一作者:Wang, Changsheng

通讯作者:Wang, CS (reprint author), Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Sch Automot Engn, Dalian 116023, Peoples R China.

合写作者:Zhang, Xiangkui,Hu, Ping

发表时间:2017-08-01

发表刊物:ACTA MECHANICA SOLIDA SINICA

收录刊物:Scopus、SCIE、EI

卷号:30

期号:4

页面范围:335-344

ISSN号:0894-9166

关键字:Quasi-conforming; Couple stress theory; Fundamental analytical solutions

摘要:In this paper, a 3-node triangular element for couple stress theory is proposed based on the assumed stress quasi-conforming method. The formulation starts from polynomial approximation of stresses. Then the stress-function matrix is treated as the 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. Numerical results show that the proposed new model can pass the C0-1 patch test with excellent precision, does not exhibit extra zero energy modes and can capture the scale effects of microstructure. (C) 2017 Published by Elsevier Ltd on behalf of Chinese Society of Theoretical and Applied Mechanics.