Large Deformation Symmetrical Elasticity Problems Solved by the Variational Method

Zhao Yu-xiang; Gu Xiang-zhen; Song Xi-tai

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(8): 679-685

Zhao Yu-xiang, Gu Xiang-zhen, Song Xi-tai. Large Deformation Symmetrical Elasticity Problems Solved by the Variational Method[J]. Applied Mathematics and Mechanics, 1993, 14(8): 679-685.

Citation:

Zhao Yu-xiang, Gu Xiang-zhen, Song Xi-tai. Large Deformation Symmetrical Elasticity Problems Solved by the Variational Method[J]. Applied Mathematics and Mechanics, 1993, 14(8): 679-685.

Citation:

Zhao Yu-xiang, Gu Xiang-zhen, Song Xi-tai. Large Deformation Symmetrical Elasticity Problems Solved by the Variational Method[J]. Applied Mathematics and Mechanics, 1993, 14(8): 679-685.

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Large Deformation Symmetrical Elasticity Problems Solved by the Variational Method

Luoyang Institute of Hydraulic Engineering, Luoyang, He'nan

Received Date: 1992-01-09
Publish Date: 1993-08-15

Abstract

Abstract

In this paper,based on the mathematical theory of classical mechanics and Chen's theorem^[1],the variational method^[2] is used in the study of large deformation symmetrical elasticity problems.The generalized variational principles of potential energy and complementary energy,based on the instantaneous configuration are obtained,and the equivalence between the two principles is proved Besides,the generalized variational principles of dynamical problems based on the instantaneous configuration are also given.
- dynamics,
- large deformation,
- independent function,
- generalized variational principle

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References(3)

References

[1]	陈更达,《有理力学》,中国矿业学院研究生部(1980).
[2]	钱伟长,《变分法及有限元》,科学出版社(1980).
[3]	赵玉祥、顾祥珍,人变形对称弹性理论的广义变分原理,《国际非线性力学会议论文集》(1985).