Generalized Variational Principles of Symmetrical Elasticity Problem of Large Deformation

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

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

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.

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

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