Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-02-01

Journal: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES

Included Journals: EI、SCIE

Volume: 111

Issue: 6

Page Number: 473-492

ISSN: 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.