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

Wang Lin-jiang; Lin Jia-keng

Volume 15 Issue 7

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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.

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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

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References(10)

References

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[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).
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