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Indexed by:期刊论文

Date of Publication:2016-02-01

Journal:CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES

Included Journals:SCIE、EI

Volume:111

Issue:6

Page Number:473-492

ISSN No.:1526-1492

Key Words:couple stress theory; triangular quasi-conforming element; enhanced patch test; scale effect

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 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.