EI、Scopus 收录
中文核心期刊
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

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

doi: 10.6052/0459-1879-14-167
Funds:  The project was supported by the Fundamental Research Funds for the Central Universities (3013-852020), the Key Project of the NSFC (10932003, 11272075,11301052, 11301045), "863" Project of China (2009AA04Z101) and "973" National Basic Research Project of China (2010CB832700).
  • Received Date: 2014-06-09
  • Rev Recd Date: 2014-07-21
  • Publish Date: 2014-11-18
  • 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.

     

  • loading
  • Wilson EL, Taylor RL, Doherty WP, et al. Incompatible displacement models. In: Fenves SJ, ed. Numerical and Computer Methods in Structural Mechanics. New York: Academic Press, 1973: 43-57
    Strang WG, Fix GJ. An Analysis of the Finite Element Method. New Jersey: Prentice-Hall, 1973
    Taylor RL, Wilson E, Beresford P. A non-conforming element for stress analysis. International Journal for Numerical Methods in Engineering, 1976, 10(6): 1211-1219  
    Chen XM, Cen S, Long YQ, et al. Membrane elements insensitive to distortion using the quadrilateral area coordinate method. Computers & Structures, 2004, 82: 35-54  
    龙驭球,龙志飞,岑松. 新型有限元论. 北京:清华大学出版社,2004 (Long Yuqiu, Long Zhifei, Cen Song. Novel Formulation of Finite Element Method. Beijing: Tsinghua University, 2004 (in Chinese))
    唐立民,陈万吉,刘迎曦. 有限元分析中的拟协调元. 大连工学院学报,1980, 19(2): 19-35 (Tang Limin, Chen Wanji, Liu Yingxi. Quasi-conforming elements for finite element analysis. Journal of Dalian University of Technology, 1980, 19(2): 19-35 (in Chinese))
    Lomboy G, Suthasupradit S, Kim K, et al. Nonlinear formulations of a four-node quasi-conforming shell element. Archives of Computational Methods in Engineering, 2009, 16(2): 189-250  
    胡平,夏阳. 拟协调元研究综述. 力学进展, 2012,42(6): 755-770 (Hu Ping, Xia Yang. Survey of quasi-conforming finite element method. Advances in Mechanics, 2012, 42(6): 755-770 (in Chinese))
    陈万吉, 唐立民. 等参拟协调元. 大连工学院学报, 1981, 20(1): 63-74 (Chen Wanji, Tang Limin. Isoparametric quasi-conforming element. Journal of Dalian University of Technology, 1981, 20(1): 63-74 (in Chinese))
    唐立民,陈万吉,周建清. 多变量拟协调平面四边形元. 计算结构力学及其应用,1988, 5(1): 1-6 (Tang Limin, Chen Wanji, Zhou Jianqing. A multi-variable quasi-conforming quadrilateral element. Computational Structural Mechanics and Applications, 1988, 5(1): 1-6 (in Chinese))
    刘红,唐立民. 带旋转自由度的拟协调平面单元. 计算结构力学及其应用,1990, 7(4): 23-31 (Liu Hong, Tang Limin. Quasi-conforming plane element with drilling degree of freedom. Computatinal Structural Mechanics and Application, 1990, 7(4): 23-31 (in Chinese))
    夏阳,胡平,唐立民. 用拟协调元直接构造平面任意四边形单元—进入有限元的禁区. 力学学报,2012, 44(5): 839-850 (Xia Yang, Hu Ping, Tang Limin. Direct formulation of quadrilateral plane element with quasi-conforming method—Into the forbidden zone of FEM. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(5): 839-850 (in Chinese))
    刘迎曦,石广玉,唐立民. 关于有限元多余零能模式的讨论. 大连工学院学报,1980,19(3): 71-80 (Liu Yingxi, Shi Guangyu, Tang Limin. Discussion on the superfluous zero energy modes of finite elements. Journal of Dalian University of Technology, 1980,19(3): 71-80 (in Chinese))
    石钟慈,王鸣. 有限元方法. 北京:科学出版社,2010 (Shi Zhongci, Wang Ming. The Finite Element Method. Beijing: Science Press, 2010 (in Chinese))
    Lü HX, Xu SN. An effective quadrilateral plate bending element. International Journal for Numerical Methods in Engineering, 1989, 28(5): 1145-1160  
    MacNeal RH, Harder RL. A proposed standard set of problems to test finite element accuracy. Finite Elements in Analysis and Design, 1985, 1: 3-20  
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (939) PDF downloads(924) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return