Variational Principles of Asymmetric Elasticity Theory of Finite Deformation

Song Yanqi; Chen Zhida

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Song Yanqi, Chen Zhida. Variational Principles of Asymmetric Elasticity Theory of Finite Deformation[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1115-1120.

Citation:

Song Yanqi, Chen Zhida. Variational Principles of Asymmetric Elasticity Theory of Finite Deformation[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1115-1120.

Citation:

Song Yanqi, Chen Zhida. Variational Principles of Asymmetric Elasticity Theory of Finite Deformation[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1115-1120.

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Variational Principles of Asymmetric Elasticity Theory of Finite Deformation

Mechanics Department, China University of Mining and Technology, Beijing Campus, Beijing 100083, P R China

Received Date: 1999-07-09
Publish Date: 1999-11-15

Abstract

Abstract

In this paper, based on the finite deformation S-R decomposition theorem, the definition of the body moment is renewed as the sum of its internal and external. The expression of the increment rate of the deformation energy is derived and the physical meaning is clarified. The power variational principle and the complementary power variational principle for finite deformation mechanics are supplemented and perfected.
- body moment,
- deformation energy,
- finite deformation,
- variation principle

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References(5)

References

[1]	陈至达.有理力学[M].徐州:中国矿业大学出版社,1988.
[2]	陈至达.杆、板、壳大变形理论[M].北京:科学技术出版社,1994,
[3]	赵玉祥,顾玉祥,李欢秋.大变形对称弹性理论的广义变分原理[J].应用数学和力学,1994,15(9):767～774.
[4]	陈至达.连续介质有限变形几何场论.清华大学学报,1979,19(4):44～57.
[5]	宋彦琦.非对称弹性力学及其变分原理研究[D].博士学位论文.北京:中国矿业大学(北京校区),1999.