王长生
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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.