胡平

个人信息Personal Information

教授

博士生导师

硕士生导师

性别:男

毕业院校:吉林工业大学

学位:博士

所在单位:机械工程学院

电子邮箱:pinghu@dlut.edu.cn

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18-DOF Triangular Quasi-Conforming Element for Couple Stress Theory

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论文类型:期刊论文

发表时间:2016-02-01

发表刊物:CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES

收录刊物:SCIE、EI

卷号:111

期号:6

页面范围:473-492

ISSN号:1526-1492

关键字:couple stress theory; triangular quasi-conforming element; enhanced patch test; scale effect

摘要:The basic idea of quasi-conforming method is that the strain-dis- placement equations are weakened as well as the equilibrium equations. In this paper, an 18-DOF triangular element for couple stress theory is proposed within the framework of quasi-conforming technique. The formulation starts from truncated Taylor expansion of strains and appropriate interpolation functions are chosen to calculate strain integration. This element satisfies C-0 continuity with second order accuracy and weak C-1 continuity simultaneously. Numerical examples demonstrate that the proposed model can pass the C0-1 patch test and has high accuracy. The element does not exhibit extra zero energy modes and can capture the scale effects of microstructure.