参    考    文    献

[1]    O.C.Zienkiewicz and R.L.Taylor, The Finite Element Method, (Fourth Edition), Mcgraw-Hill Book Company, 1988.

[2]    唐立民，有限元分析的若干基本问题，大连工学院学报，1979，18(2), 1-15

[3]    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

[4]    T.H.H.Pian, Derivation of Element Stiffness Matrices by Assumed Stress Distributions, A.I.A.A.J., 1964, 2(7), 1333-1336

[5]    T.H.H.Pian, and Dapeng Chen, Alternative Ways for Formulation of Hybrid Stress Elements, Int. J. Num. Meth. Eng., 1982, 18, 1679-1684

[6]    龙驭球，辛克贵，广义协调元，土木工程学报，1987，1，1-14

[7]    陈绍春，石钟慈，构造单元刚度矩阵的双参数法，计算数学，1991，3，286-296

[8]    陈万吉，单变量有限元的新思考：精化直接刚度法，计算结构力学及其应用，1993，10(4)：263-268

[9]    Tang Limin, Chen Wanji and Liu Yingxi, String Net Function Approximation and Quasi-Conforming Technique, Hybrid and Mixed Finite Element Methods, S.N.Atluri, R.H.Gallagher and O.C.Zienkiewicz, John Wiley & Sons, 1983.

[10]石钟慈，陈绍春，九参数广义协调元的收敛性，计算数学，1991，2，193-203

Patch Test and Finite Element Method

Abstract: This paper realized that the Patch Test is very important to Finite Element Methods. Derive the requirement to strain and displacement of Patch Test. Give the relationship between weak form of continuity equation and the Patch Test, through which the hybrid element method and quasi-conform element method are analyzed. Refined direct stiffness method and generalized conforming elements are also analyzed about why they can pass patch test. At last, as an example of using the requirement of patch test for displacement, improved the BCIZ Element.

Key Words: patch test, weak form, string-net function, finite element method

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