Toupin-Berdichevskii Theorem Can’t Be Considered as a Mathematical Expression of Saint-Venant’s Principle

Zhao Jian-zhong

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(10): 913-916

Zhao Jian-zhong. Toupin-Berdichevskii Theorem Can’t Be Considered as a Mathematical Expression of Saint-Venant’s Principle[J]. Applied Mathematics and Mechanics, 1986, 7(10): 913-916.

Citation:

Zhao Jian-zhong. Toupin-Berdichevskii Theorem Can’t Be Considered as a Mathematical Expression of Saint-Venant’s Principle[J]. Applied Mathematics and Mechanics, 1986, 7(10): 913-916.

Citation:

Zhao Jian-zhong. Toupin-Berdichevskii Theorem Can’t Be Considered as a Mathematical Expression of Saint-Venant’s Principle[J]. Applied Mathematics and Mechanics, 1986, 7(10): 913-916.

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Toupin-Berdichevskii Theorem Can’t Be Considered as a Mathematical Expression of Saint-Venant’s Principle

Zhao Jian-zhong

Yunnan University, Kunming

Received Date: 1985-07-21
Publish Date: 1986-10-15

Abstract

Abstract

In this paper the condition and the conclusion of Toupin-Berdichevskii Theorem is examined, where by it is explained and demonstrated with an example that the theorem can't be considered as a mathematical expression of Saint-Venant's Principle in Elasticity.

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References(6)

References

[1]	Boussinesq,M.J.,Application of Potentials,Gauthier-Villars,Paris(1885).
[2]	Love,A.E.H.,A Treatise on the Mathematical Theory of Elasticity,4th ed.,The University Press,Cambridge(1927).
[3]	Toupin,R.A.,Saint-Venant's principle,Arch.Rational Mech.and Analysis,18,2(1965),83-96.
[4]	Бердичевский В.Л.,К доказателщству принпида Сен-Веана для тел произволъной формы,ПММ,.,38(1974),851-864.
[5]	王敏中,圣维南原理发展简介,力学与实践,2,4(1980),72-73
[6]	Timoshenko,S.P.and J.N.Goodier,Theory of Elasticity.3rd ed.,McGraw-Hill Book Company,New York,41-42．