期刊
COMPUTERS & STRUCTURES
卷 141, 期 -, 页码 46-58出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2014.05.001
关键词
Partition of unity method; Hybrid FE-Meshless method; Trig3-CNS; Continuous nodal stress; Mesh distortion; Convergence rate
资金
- National Basic Research Program of China (973 Program) [2011CB013505]
- National Natural Science Foundation of China [50779031, 50925933]
A three-node triangular element with continuous nodal stress (Trig3-CNS) is presented. The present work is the development of the partition-of-unity based 'FE-Meshless' quadrilateral element with continuous nodal stress (Quad4-CNS). This triangular element, Trig3-CNS, is potential to replace Quad4-CNS when the geometry of computational domain is too complex to generate quadrilateral meshes. The three-node triangular element (Trig3) is widely used, however it is always of low accuracy due to its low order of trial functions. By increasing the order of trial functions, Trig3-CNS obtains better accuracy and higher convergence rate as compared to Trig3. The numerical tests in this paper demonstrate that Trig3-CNS has higher tolerance to mesh distortion as compared to the Trig3 and four-node quadrilateral element (Quad4). Another advantage is that the derivative of Trig3-CNS shape function is continuous at nodes, therefore Trig3-CNS is capable of giving smoother solution and calculating nodal stress without any extra smoothing operation. Published by Elsevier Ltd.
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