The Calculation of the MultipIy-Connected Elastic Plane Problems by Means of Stress Functions of Multiple Complex Variables

Wang Lin-jiang; Lin Jia-keng

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(7): 657-664

Wang Lin-jiang, Lin Jia-keng. The Calculation of the MultipIy-Connected Elastic Plane Problems by Means of Stress Functions of Multiple Complex Variables[J]. Applied Mathematics and Mechanics, 1994, 15(7): 657-664.

Citation:

PDF( 435 KB)

The Calculation of the MultipIy-Connected Elastic Plane Problems by Means of Stress Functions of Multiple Complex Variables

Nanjing Aeronautical Institute, Nanjing

Received Date: 1991-07-25
Publish Date: 1994-07-15

Abstract

Abstract

On the basis of mathematical elastic theory, the stress functions of multiple complex variables are derived in an infinite multiply-connecied plate by using,nultiple conformal represeniations. The funciions are developed in Fou ries series on unit circles,the unknown coefficients of the functions are deiermined by cornparing coefficient method, then the stresses in the plaie can be calculaied. A plate conlaining multiple elliptical hofes is discussed, the corresponding FORTRAN77 program is finished. Two examples are given, they show that this method is very effective and convenient.
- holes,
- plate,
- stress calculation

FullText(HTML)

References(10)

References

[1]	西田正孝.《应力集中》(李安定等译),机械工业出版社.北京(1986).
[2]	Г.Н.萨文、В.И.杜尔契,《应力集中手册》(张正国译),黑龙江科学技术出版(1983).
[3]	黄炎.《局部应力及其应用》,机械工业出版社,北京(1990).
[4]	航空工业部科学技术委员会,《应力集中系数手册》,高等教育出版社,北京(1990).
[5]	Lin Chih-bing, On the stresses in a plate containing two circular holes, J. of Applied Physics, 19, 1(1948), 77-81.
[6]	Ukadgaonker. V, G., Stress analysis of a plate containing two circular holes having tangential stresses, AIAA Journal, 18, 1(1980), 125-128.
[7]	穆斯海里什维里,《数学弹性力学的几个基本木问题》(赵惠元译,王柔怀校),科学出版社.北京(1958).
[8]	徐芝纶.《弹性力学》(第二版),人民教育出版社,北京(l1978).
[9]	杜庆华、余寿文、姚振汉,《弹性理论》,科学出版社,北京(1986).
[10]	樊大均.《数学弹性力学》.新时代出版社(1983).