期刊
COMPUTATIONAL MECHANICS
卷 53, 期 1, 页码 159-172出版社
SPRINGER
DOI: 10.1007/s00466-013-0899-7
关键词
Couple stress theory; Quadrilateral hybrid stress element; Enhanced patch test; Scale effect
资金
- National Natural Sciences Foundation of China [11072156, 11102037]
- National Natural Sciences Foundations of China [11072156, 11102037]
A 24-DOF quadrilateral hybrid stress element for couple stress theory is proposed in this study. In order to satisfy the equilibrium equation in the domain of the element, the Airy stress functions are chosen a assumed stress interpolation functions, and beam functions are adopted as the displacement interpolation functions on the boundary. This element can satisfy weak C continuity with second-order accuracy and weak continuity simultaneously. So the element can pass the enhanced patch test of a convergence condition. Moreover, the reduced integration and a stresses smooth technique are introduced to improve the element accuracy. Numerical examples presented show that the proposed model can pass the enhanced patch test and indeed possesses higher accuracy. Besides, it does not exhibit extra zero energy modes and can capture the scale effects of microstructure.
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