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

Xiangkui Zhang1, Changsheng Wang1,2, Ping Hu1
School of Automotive Engineering, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, P.R. China.
changsheng@dlut.edu.cn

Computer Modeling in Engineering & Sciences 2016, 111(6), 473-492. https://doi.org/10.3970/cmes.2016.111.473

Abstract

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 C0 continuity with second order accuracy and weak C1 continuity simultaneously. Numerical examples demonstrate that the proposed model can pass the C0

Keywords

couple stress theory, triangular quasi-conforming element, enhanced patch test, scale effect

Cite This Article

Zhang, X., Wang, C., Hu, P. (2016). 18-DOF Triangular Quasi-Conforming Element for Couple Stress Theory. CMES-Computer Modeling in Engineering & Sciences, 111(6), 473–492.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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