The Random Variational Principle in Finite Deformation of Elasticity and Finite Element Method

Gao Hang-shan; Zhang Ru-qing

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(10): 855-862

Gao Hang-shan, Zhang Ru-qing. The Random Variational Principle in Finite Deformation of Elasticity and Finite Element Method[J]. Applied Mathematics and Mechanics, 1994, 15(10): 855-862.

Citation:

Gao Hang-shan, Zhang Ru-qing. The Random Variational Principle in Finite Deformation of Elasticity and Finite Element Method[J]. Applied Mathematics and Mechanics, 1994, 15(10): 855-862.

Citation:

Gao Hang-shan, Zhang Ru-qing. The Random Variational Principle in Finite Deformation of Elasticity and Finite Element Method[J]. Applied Mathematics and Mechanics, 1994, 15(10): 855-862.

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The Random Variational Principle in Finite Deformation of Elasticity and Finite Element Method

Gao Hang-shan¹,
Zhang Ru-qing²

1.
Northwesten Polytechnical University, Xi'an;
2.
Chongqing University, Chongqing

Received Date: 1993-11-22
Publish Date: 1994-10-15

Abstract

Abstract

In the present paper,we have introduced the random materials.loads.geometrical shapes,force and displacement boundary condition directly.into the functional variational formula,by.use of a small parameter perturbation method,a unified random variational principle in finite defomation of elastieity and nonlinear randomfinite element method are esiablished,and used.for reliability,analysis of structures.Numerical examples showed that the methods have the advontages of simple andconvenient program implementation and are effective for the probabilistic problems in mechanics.
- finite deformation,
- vanational principle,
- finite element method,
- structural reliability analysis

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References(8)

References

[1]	Zienkiewicz,O.C.and T.L.Taylor,The Finite Element Method,4th Edition,McGraw-Hill,New York(1989).
[2]	Liu,W.K.,T.Belytschko and A.Mani,Random field finite elements,Int.J.Numer.Meth.Eng.,23,10(1986),1831-1845.
[3]	Vanmarcke,E.H.et al.,Random fields and stochastic finite elements,Structural Safety.3(1986),143-166.
[4]	中桐滋、久田俊明,《榷率有限要素法人门》,培夙葫(1985).
[5]	张汝清、高行山,随机变分原理及有限元法,应用数学和力学,13(5)(1992),383-388.
[6]	张汝清,《固体力学变分原理及其应用》,重庆大学出版社(1991),
[7]	Rackwitz,R.and B.Fiessler,Structural reliability under combined random load sequences,Comput.Struct.,9,5(1978),489-494.
[8]	Rosenblatt,M.,Remarks on a multivariate transformation,Annals of Math,Statistics.23,3(1952).472-472.