The Improvement of the General Expression for the Stress Function φ of the Two-Dimensional Problem

Zhao Xing-hua

Volume 11 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(3): 195-202

Zhao Xing-hua. The Improvement of the General Expression for the Stress Function φ of the Two-Dimensional Problem[J]. Applied Mathematics and Mechanics, 1990, 11(3): 195-202.

Citation:

Zhao Xing-hua. The Improvement of the General Expression for the Stress Function φ of the Two-Dimensional Problem[J]. Applied Mathematics and Mechanics, 1990, 11(3): 195-202.

Citation:

Zhao Xing-hua. The Improvement of the General Expression for the Stress Function φ of the Two-Dimensional Problem[J]. Applied Mathematics and Mechanics, 1990, 11(3): 195-202.

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The Improvement of the General Expression for the Stress Function φ of the Two-Dimensional Problem

Zhao Xing-hua

Shanghai University of Technology, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai

Received Date: 1989-03-13
Publish Date: 1990-03-15

Abstract

Abstract

In this paper, it is pointed that the general expression for the stress function of the plane problem in polar coordinates is incomplete. The problems of the curved bar with an arbitrary distributive load at the boundries can't he solved by this stress function. For this reason, we suggest two new stress functions and put them into the general expression. Then, the problems of the curved bar applied with an arbitrary distributive load at r=a,b boundaries can be solved. This is a new stress function including geometric boundary constants.

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References(2)

References

[1]	Timoshenko,S.and J.N.Goodier,Theory of Elasticity(1951).
[2]	赵兴华、蒋智翔、景士都,弹性波形厚壳应力和变形的渐近分析,清华大学科技报告(1973).

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