Rated Generalized Sub-Region Variational Principles in Nonlinear Elastodynamics

Zhao Guo-qiao

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Zhao Guo-qiao. Rated Generalized Sub-Region Variational Principles in Nonlinear Elastodynamics[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1069-1075.

Citation:

Zhao Guo-qiao. Rated Generalized Sub-Region Variational Principles in Nonlinear Elastodynamics[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1069-1075.

Citation:

Zhao Guo-qiao. Rated Generalized Sub-Region Variational Principles in Nonlinear Elastodynamics[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1069-1075.

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Rated Generalized Sub-Region Variational Principles in Nonlinear Elastodynamics

Zhao Guo-qiao

Peking Design Institute of SINOPEC, Beijing

Received Date: 1992-05-25
Publish Date: 1993-12-15

Abstract

Abstract

In this paper, the rated generalized sub-region mixed and hybrid variational principles in nonlinear elastodynamics are constructed on the basis of Co-Moving coordinate description and S-R decomposition theorem, which contain five independent arguments, or velocity gradient, momentum, velocity, stress and strain rate.
- rated generalized sub-region,
- mixed and hybrid variational principle,
- Co-Moving coordinate description,
- S-R decomposition theorem

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References(18)

References

[1]	Courant,R.and D.Hillbert,Method of mathematical physics,Intersicence,Ⅰ(1953).
[2]	Hellinger,E.H.,Der allgemeine ausatz der machanik der kontinua,Encyclopadie Der Mathematischen Wissenschaften,Part 4(1914),602-694.
[3]	Reissner,E.,On a variational theorem in elasticity,J.Math.Phy.,29(1950).
[4]	胡海昌,论单性体力学与受范性体力学中的一般变分原理,物理学报,(3)(1954)
[5]	Washizu,K.,On the variational principles of elasticity and plasticity,Aeroelastic and Structures Research Laboratory,MIT,Technical Report 25-8(1955).
[6]	Toupin,R.A.,A variational principle for the mesh-type analysis of a mechanical system,J.Appl.Mech.,19,2(1952).
[7]	Crandall,S.H.,Complementary extremes principles for dynamics,9th.Int.Conf.Appl.Mech.,Rome,V(1957),80-87.
[8]	Barr,A.S.,An extension of the Hu-Washizu variational principle in linear elasticity for dynamic problems,J.Appl.Mech.,33(1966),465.
[9]	钱伟长、卢文达、王蜀,动力学分区变分原理及其广义变分原理,力学学报,(3)(1989).
[10]	邢京堂,弹性动力学变分原理的理论及应用研究,《现代数学与力学》,钱伟长和郭友中主编,科学出版社(1989),84-90.
[11]	邢京堂,包含终值条件为驻值条件的哈氏型弹性动力学变分原理,上海力学,(3)(1990).
[12]	钱伟长,大位移非线性弹性理论的变分原理和广义变分原理,应用数学和力学,9(1)(1988).
[13]	Zheng Zhao-chang and Xing Jing-tang,Generalized subregion mixed and hybrid variational principles in nonlinear elastodynamics,Acta Mechanica Solida Sinica,3,2(1990).
[14]	Zheng Zhao-chang and Zhao Guo-qiao,Generalized variational principles in nonlinear elastodynamics with six independent fields,Advances in Engineering Mech.,Eds:Zhu De-chao et al.,Peking University Press(1992).
[15]	陈至达,连续介质有限变形力学几何场论,力学学报,(2)(1979),107-117,
[16]	陈至达,《有理力学》,中国矿业大学出版社(1986),
[17]	李平,非线性大变形有限元分析的更新拖带坐标法及其应用,中国矿业大学博士学位论文,北京(1991).
[18]	赵国桥,核反应堆管道系统动力响应分析,清华大学博士学位论文,北京(1992)