## 留言板

 引用本文: 何吉欢. 再论Hellinger-Reissner原理与Hu-Washizu原理之等价性[J]. 应用数学和力学, 1999, 20(5): 515-524.
He Jihuan. Further Study of the Equivalent Theorem of Hellinger- Reissner and Hu-Washizu Variational Principles[J]. Applied Mathematics and Mechanics, 1999, 20(5): 515-524.
 Citation: He Jihuan. Further Study of the Equivalent Theorem of Hellinger- Reissner and Hu-Washizu Variational Principles[J]. Applied Mathematics and Mechanics, 1999, 20(5): 515-524.

## 再论Hellinger-Reissner原理与Hu-Washizu原理之等价性

###### 作者简介:何吉欢(1965~ ),男,讲师,已在国际杂志上如ASME J.Appl.Mech.,Int J Nonl Mech等上发表了10多篇论文,在国内各类杂志上发表了近30篇论文,获1998年国际Literati奖.
• 中图分类号: O343.2

## Further Study of the Equivalent Theorem of Hellinger- Reissner and Hu-Washizu Variational Principles

• 摘要: 阐述了Hu-Washizu变分原理实际上是一个赝广义变分原理,即虽然其驻值条件满足所有的场方程及边界条件,但它存在某种约束.为了清楚说明问题,本文构造一些新的赝广义变分原理,用逆拉氏乘子法可以清楚地看出其约束关系,并进一步证明了Hu-Washizu变分原理和Helinger-Reisner变分原理之等价定理.
•  [1] 胡海昌.弹性理论和塑性理论中的一些变分原理[J].物理学报,1954,10(3):259～290. [2] 钱伟长.关于弹性力学的广义变分原理及其在板壳问题上的应用[A].钱伟长科学论文集[C],福州:福建教育出版社,1989. [3] 钱伟长.高阶拉氏乘子法和弹性理论中的更一般的广义变分原理[J].应用数学和力学,1983,4(2):137～150. [4] 钱伟长.再论弹性力学中的广义变分原理——就等价定义问题和胡海昌先生商榷[J].力学学报,1983,4(2):313～323. [5] 钱伟长.广义变分原理[M].北京:知识出版社,1985. [6] 刘高联.流体力学变分原理建立与变换的系统性途径[J].工程热物理学报,1990,11:136～142. [7] He Jihuan.Modified Lagrange multiplier method and generalized variational principles in fluid mechanics[J].J Shanghai University(English Edition),1997,1(2),117～122. [8] He Jihuan.Semi-inverse Method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics[J].Interl J Turbo & Jet-Engines,1997,14(1):23～28. [9] He Jihuan.A generalized variational principle for 3-Dunsteady transonic rotational flow in rotor using clebsch variables[J].Interl J Turbo & Jet-Engines,1997,14(1):17～22. [10] He Jihuan.A variational theory for one-dimensional unsteady compressible flow:an image plane approach[J].Applied Math Modelling,1998,22:395～403. [11] He Jihuan.A family of variational principles for compressible rotational blade-to-blade flow using semi-inverse method[J].Interl J Turbo & Jet-Engines,1998,15(2):95～100. [12] He Jihuan.Generalized variational principle for compressible S2-flow in mixed-flow turbomachinery using semi-inverse method[J].Interl J Turbo & Jet-Engines,1998,15(2):101～107. [13] He Jihuan.Generalized Hellinger-Reissner principle[J].ASME J Appl Mech,(accepted),1999. [14] 胡海昌.关于拉氏乘子法及其它[J].力学学报,1985,17(5):426～434. [15] Washizu K.On the variational principles of elasticity and plasticity[R].Aeroelastic and Structures Research Laboratory,Massachuetts Institute of Technology,Technical Report,25～18,March 1955.
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##### 出版历程
• 收稿日期:  1997-11-02
• 修回日期:  1998-12-05
• 刊出日期:  1999-05-15

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