On the Equivalence of Non-Conforming Element and Hybrid Stress Element

Theodore Hsueh-huang Pianl

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Theodore Hsueh-huang Pianl. On the Equivalence of Non-Conforming Element and Hybrid Stress Element[J]. Applied Mathematics and Mechanics, 1982, 3(6): 715-719.

Citation:

Theodore Hsueh-huang Pianl. On the Equivalence of Non-Conforming Element and Hybrid Stress Element[J]. Applied Mathematics and Mechanics, 1982, 3(6): 715-719.

Citation:

Theodore Hsueh-huang Pianl. On the Equivalence of Non-Conforming Element and Hybrid Stress Element[J]. Applied Mathematics and Mechanics, 1982, 3(6): 715-719.

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On the Equivalence of Non-Conforming Element and Hybrid Stress Element

Theodore Hsueh-huang Pianl

Massachusetts Institute of Technology, Cambridge, Mass., U. S. A

Received Date: 1982-07-28
Publish Date: 1982-12-15

Abstract

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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References(6)

References

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[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.