Citation: | Xia Yang, Hu Ping, Tang Limin. DIRECT FORMULATION OF QUADRILATERAL PLANE ELEMENT WITH QUASI-CONFORMING METHOD——INTO THE FORBIDDEN ZONE OF FEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(5): 839-850. DOI: 10.6052/0459-1879-12-105 |
Zienkiewicz OC,Taylor RL,Zhu JZ.The Finite Element Method.6th edn.Burlington:Elsevier,2006
|
王勖成.有限单元法.北京:清华大学出版社,2003 (Wang Xuchen.Finite Element Methods.Beijing:Tsinghua University Press,2003 (in Chinese))
|
Cook RD,Malkus DS,Plesha ME,et al.Concepts and Applications of Finite Element Analysis,4th edn.New York:Wiley & Sons,2007
|
Irons BM.Engineering applications of numerical integration in stiffness methods.AIAA Journal,1966,4(11):2035-2037
|
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
|
Taylor R,Wilson E,Beresford P.A non-conforming element for stress analysis.International Journal for Numerical Methods in Engineering,1976,10(6):1211-1219
|
吴长春,卞学鐄.非协调数值分析与杂交元方法.北京:科学出版社,1997 (Wu Changchun,Pian Theodore Hsueh-Huang.Nonconforming Numerical Analysis and Hybrid Finite Element Method.Beijing:Science Press,1997 (in Chinese))
|
Wu C,Huang M,Pian T.Consistency condition and convergence criteria of incompatible elements:general formulation of incompatible functions and its application.Computers & Structures,1987,27(5):639-644
|
田宗漱,卞学鐄.多变量变分原理与多变量有限元方法.北京:科学出版社,2011 (Tian Zhongshu,Pian Theodore Hsueh-Huang.Multivariable Variaional Method and Multivariable Finite Element Method.Beijing:Science Press,2011 (in Chinese))
|
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,Chen Song.Novel Formulation of Finite Element Method.Beijing:Tsinghua University,2004 (in Chinese))
|
龙驭球,陈晓明.两个抗畸变的四边形膜元.清华大学学报(自然科学版),2003,43(10):1380-1385 (Long Yuqiu,Chen Xiaoming.Two robust quadrilateral membrane elements.Journal of Tsinghua University (Science & Technology),2003,43(10):1380-1385 (in Chinese))
|
Chen XM,Cen S,Fu XR,et al.A new quadrilateral area coordinate method (QACM-II) for developing quadrilateral finite element models.International Journal for Numerical Methods in Engineering,2008,73(13):1911-1941
|
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))
|
Tang L,Chen W,Liu Y.String net function approximation and quasi-conforming element technique,In:Alturi SN,Gallagher RH,Zienkiewicz OC,eds.Hybrid and Mixed Finite Element Methods.New York:John Wiley & Sons,Ltd,1983.96-111
|
Liu HX,Tang LM.Qusiconforming plane element with drilling degree of freedom.Computatinal Structural Mechanics and Application,1990,7(4):23-31
|
刘铁林,朱祎国,吕和祥.解析拟协调平面四边形单元.计算力学学报,1998,15(3):324-328 (Liu Tielin,Zhu Yiguo,L\"u Hexiang.Analytical quasi-conformed plane quadrilateral element.Chinese Journal of Computational Mechanics,1998,15(3):324-328 (in Chinese))
|
Shi GY,Voyiadjis GZ.A simple C0 quadrilateral thick/thin shell element based on the refined shell theory and the assumed strain fields.International Journal of Solids and Structures,1991,27(3):283-298
|
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
|
Timoshenko SP,Goodier J.Theory of Elasticity.New York:McGraw,1970
|
He DS,Tang LM.The displacement function of quasi-conforming element and its node error.Applied Mathematics and Mechanics-English Edition,2002,23(2):127-137
|
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