Generalized Variational Principles of Symmetrical Elasticity Problem of Large Deformation

Zhao Yu-xiang; Gu Xiang-zhen; Li Huan-qiu

Volume 15 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(9): 767-774

SHANG Yue-qiang, HE Yin-nian. Fourier Analysis on Schwarz Domain Decomposition Methods for the Biharmonic Equation[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1100-1106. doi: 10.3879/j.issn.1000-0887.2009.09.012

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Zhao Yu-xiang, Gu Xiang-zhen, Li Huan-qiu. Generalized Variational Principles of Symmetrical Elasticity Problem of Large Deformation[J]. Applied Mathematics and Mechanics, 1994, 15(9): 767-774.

Citation:

Zhao Yu-xiang, Gu Xiang-zhen, Li Huan-qiu. Generalized Variational Principles of Symmetrical Elasticity Problem of Large Deformation[J]. Applied Mathematics and Mechanics, 1994, 15(9): 767-774.

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Generalized Variational Principles of Symmetrical Elasticity Problem of Large Deformation

Luoyang Institute of Hydraulic Engineering, Luoyang

Received Date: 1993-08-04
Publish Date: 1994-09-15

Abstract

Abstract

This paper is based on the geometrical nonlinear theories of deformation presented by Chen Zhi-da^[1],Lagrange's multiplier mothod is used to study the symmetry elasticity problems of large deformation.The general rariational priieiplesof potential energy and complemenlary energy,and the general variation principle of dynamic problem have been proved.In the meantme it is also proved that the general vatiaton principles of potential energy and complementary energy are equivalent.
- dynamics,
- large deformation,
- independent function,
- generalized variational principle

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References(6)

References

[1]	陈至达,《有理力学》,中国矿业研究生部(1980).
[2]	钱伟长.弹性理论中广义变分原理的研究其在有限元计算中的应用.力学与实践.1(1979).
[3]	钱伟长.《变分法及是限元》,科学出版社(1980).
[4]	郭仲衡,非线性弹性理论变分原理的统一理论,应用数学和力学,1(1)(1980).5-24.
[5]	陈至达.钱氏定理在有限变形极矩弹性力学广义变分原理的应用.应用数学和力学.2(2)(1981),181-196.
[6]	戴天民.论非线性弹理理论的各种变分原理,应用数学和力学,5(5)(1982).585-506.

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