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王长生, 齐朝晖, 张向奎, 胡平. 内参型四边形四节点拟协调平面单元[J]. 力学学报, 2014, 46(6): 971-976. DOI: 10.6052/0459-1879-14-167
引用本文: 王长生, 齐朝晖, 张向奎, 胡平. 内参型四边形四节点拟协调平面单元[J]. 力学学报, 2014, 46(6): 971-976. DOI: 10.6052/0459-1879-14-167
Wang Changsheng, Qi Zhaohui, Zhang Xiangkui, Hu Ping. QUADRILATERAL 4-NODE QUASI-CONFORMING PLANE ELEMENT WITH INTERNAL PARAMETERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 971-976. DOI: 10.6052/0459-1879-14-167
Citation: Wang Changsheng, Qi Zhaohui, Zhang Xiangkui, Hu Ping. QUADRILATERAL 4-NODE QUASI-CONFORMING PLANE ELEMENT WITH INTERNAL PARAMETERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 971-976. DOI: 10.6052/0459-1879-14-167

内参型四边形四节点拟协调平面单元

QUADRILATERAL 4-NODE QUASI-CONFORMING PLANE ELEMENT WITH INTERNAL PARAMETERS

  • 摘要: 在拟协调框架之下,利用新的内参形函数构造了一个四边形四节点拟协调平面单元. 新的内参位移函数也可以添加到等参单元Q4 中来构造新的内参型等参单元. 新构造的拟协调单元QC6N 具有显式刚度矩阵,因而效率更高. 数值例子表明相比于四节点等参单元,新构造的单元可以提高计算精度和抗网格畸变的能力.

     

    Abstract: A 4-node quadrilateral quasi-conforming plane element with internal parameters was proposed under the framework of quasi-conforming technique. New displacement functions with internal parameters can be added to the serendipity element Q4 to construct new isoparametric element. The explicit stiffness matrix of quasi-conforming element QC6N makes it more efficient. The numerical tests and comparisons with other 4-node isoparametric elements suggest that the present elements are more accuracy and less sensitive to the mesh distortion.

     

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