关于非协调位移元与杂交应力元的对应性
On the Equivalence of Non-Conforming Element and Hybrid Stress Element
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摘要: 本文阐明了E.L.Wilson[3]等的非协调移位元与卞学鐄的杂交应力元之间所存在的对应性.Abstract: This paper is intended to show that the non-conforming element by Wilson[3] et al. and the hybrid stress element by Pian[2] are equivalent.
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[1] Turner,M.J.,R.J.Clough,H.C.Martin,Jr.and L.J.Topp,交合结构的刚度分析与挠度分析,j,Aero,Sci 23,(1956),805-823. [2] Pian,T.H.H.,(卞学鐄),由假设应力分布规律出发建立单元刚度矩阵,AIAA Journal,2,(1964) 1333-1336. [3] Wilson,E.L.,R.L.Taylor,W.Doherty and J.Ghaboussi,非协调位移模型,Numerical and Computer Methods in Structural Mechanics.Edited by S.J.Fenves et al,Academic Press,(1973) 43-57. [4] Fröier,M.,L.Nilsson and A.Samuelsson,对Turner,卞学鐄,Wilson矩形平面元的看法,Int.,J.Num,Math,Eng.,8,(1974) 433-437. [5] 卞学鐄,陈大鹏,逮立杂交应力元的另一途径,即将在Int.,J.Num,Math,Eng.,发表 [6] Fraeijs de Veubeke,B.M.,育限元方法中的位移模型与平衡模型,载 Stress Analysis.O.C.Zienkiewicz and G.S.Hollister,Wiley,(1965),145-197.
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