On the Completeness of Hu Hai-chang’s Solution

Wang Min-zhong

Volume 2 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 1981 > 2(2): 243-250

Wang Min-zhong. On the Completeness of Hu Hai-chang’s Solution[J]. Applied Mathematics and Mechanics, 1981, 2(2): 243-250.

Citation:

Wang Min-zhong. On the Completeness of Hu Hai-chang’s Solution[J]. Applied Mathematics and Mechanics, 1981, 2(2): 243-250.

Citation:

Wang Min-zhong. On the Completeness of Hu Hai-chang’s Solution[J]. Applied Mathematics and Mechanics, 1981, 2(2): 243-250.

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On the Completeness of Hu Hai-chang’s Solution

Wang Min-zhong

Beijing University, Beijing

Received Date: 1980-03-01
Publish Date: 1981-04-15

Abstract

Abstract

In this paper, the completeness of Hu Hai-chang's solution is proved in the case of convex regions in z-direction under a supplementary condition. On the other hand, for those non-convex regions in z-direction, Hu Hai-chang's solution is proved to be incomplete.

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References(6)

References

[1]	Mindlin,R.,Note on the Galerkin and Papkovitch stress functions.Bull.Amer.Math.Soc.42(1936),373-376.
[2]	胡海昌,横观各向同性体的弹性力学的空间问题,物理学报,9卷3期(1953) 130-147.
[3]	Muki,Asymmetric problems of the theory of elasticity for a semi-infinite solid and a thick plane,Progress in Solid Mechanics,I(ed.by Sneddon and Hill)(1960).
[4]	Eubanks,R.A.,and Sternberg,E.,On the completeness of the Papkovitch stress function.J.Rational Mech.Anal.,5(1956),735-748.
[5]	Kellogg,O.D.,Foundations of Potential Theory,Berling,Springer,(1929),260.
[6]	Слободянский М.Г.,Об общих и поиных Фориах Уравнения Упругости ЛММ,Т.ХХⅢ,Выл З (11959),468-482.

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