| The improvement of the general expression for the stress function Φ of the two-dimensional problem |
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| 引用本文： | 赵兴华. The improvement of the general expression for the stress function Φ of the two-dimensional problem[J]. 应用数学和力学(英文版), 1990, 11(3): 207-214. DOI: 10.1007/BF02015202 |
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| 作者姓名： | 赵兴华 |
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| 摘 要： | 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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| 收稿时间： | 1989-03-13 |
THE IMPROVEMENT OF THE GENERAL EXPRESSION FOR THE STRESS FUNCTION Φ OF THE TWO-DIMENSIONAL PROBLEM |
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| Zhao Xing-hua. THE IMPROVEMENT OF THE GENERAL EXPRESSION FOR THE STRESS FUNCTION Φ OF THE TWO-DIMENSIONAL PROBLEM[J]. Applied Mathematics and Mechanics(English Edition), 1990, 11(3): 207-214. DOI: 10.1007/BF02015202 |
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| Authors: | Zhao Xing-hua |
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| Affiliation: | Shanghai University of Technology; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai |
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| Abstract: | In this paper, it is pointed that the general expression for the stress function  0 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 be 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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| Keywords: | sandwich structure multi-objective optimization lightweight radar absorbing failure mode |
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