Theorems on the Limit Analysis of Finite Deformation

Hsueh Dah-wei

Volume 9 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 1988 > 9(3): 189-192

Hsueh Dah-wei. Theorems on the Limit Analysis of Finite Deformation[J]. Applied Mathematics and Mechanics, 1988, 9(3): 189-192.

Citation:

Hsueh Dah-wei. Theorems on the Limit Analysis of Finite Deformation[J]. Applied Mathematics and Mechanics, 1988, 9(3): 189-192.

Citation:

Hsueh Dah-wei. Theorems on the Limit Analysis of Finite Deformation[J]. Applied Mathematics and Mechanics, 1988, 9(3): 189-192.

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Theorems on the Limit Analysis of Finite Deformation

Hsueh Dah-wei

Beijing Institute of Technology, Beijing

Received Date: 1989-04-19
Publish Date: 1988-03-15

Abstract

Abstract

A generalized variational principle(theorem 1) which is equivalent mathematically to the whole set of equations and conditions and must be satisfied by the limit analysis of finite deformation is proposed in this paper.It is also proved that the limit load deduced from theorem 1 will lie between the lower and upper bounds given by the bound theorems of finite deformation.

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References(8)

References

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[3]	Mura,T.and S.L.Lee,Application of variational principle of limit analysis,Quart.Appl.Math.,21,3(1963).
[4]	钱令希、钟万腮,论固体力学中的极限分析并建议一个一般变分原理,力学学报,6,4(1963).
[5]	王仁、黄文彬、曲圣年、赵祖武、梅占馨、王长兴,对"论固体力学中的极限分析并建议一个一般变分原理"的讨论,力学学报8,1(1965),
[6]	薛大为,建议一组关于极限分析的定理,科学通报,20,4(1975).
[7]	Prager,W.and P.G.Hodge,Theory of Perfectly Plastic Solids,John Wiley & Sons(1951).
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