Journal
FINITE ELEMENTS IN ANALYSIS AND DESIGN
Volume 75, Issue -, Pages 8-18Publisher
ELSEVIER
DOI: 10.1016/j.finel.2013.06.006
Keywords
Couple stress theory; Triangular hybrid stress element; Enhanced patch test; Scale effect
Categories
Funding
- National Natural Sciences Foundations of China [11072156, 11102037]
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Based on the couple stress theory and the hybrid stress element method proposed by Pian, a refined 18-DOF triangular hybrid stress element is established. The 15 beta Airy stress functions which satisfy the equilibrium equation in the domain of the element are chosen as the assumed stress interpolation functions, and boundary displacement interpolation functions are chosen as beam function. The characteristics of this element are possessing second-order accuracy and C-0 and C-1 continuity in the weak form, satisfying convergence condition for the enhanced patch test and does not exhibits extra zero energy modes. Moreover, a refined assumed stress element method is developed to improve the element accuracy. Numerical examples presented show that the proposed model indeed possesses higher accuracy and can pass the enhanced patch test, and can capture the scale effects of microstructure. (C) 2013 Elsevier B.V. All rights reserved.
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