Using Generalized Variational Principles to Resolve the St. Venant’s Torsional Bar with a Crack

Fan Xiu-chang

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Fan Xiu-chang. Using Generalized Variational Principles to Resolve the St. Venant’s Torsional Bar with a Crack[J]. Applied Mathematics and Mechanics, 1989, 10(2): 179-186.

Citation:

Fan Xiu-chang. Using Generalized Variational Principles to Resolve the St. Venant’s Torsional Bar with a Crack[J]. Applied Mathematics and Mechanics, 1989, 10(2): 179-186.

Citation:

Fan Xiu-chang. Using Generalized Variational Principles to Resolve the St. Venant’s Torsional Bar with a Crack[J]. Applied Mathematics and Mechanics, 1989, 10(2): 179-186.

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Using Generalized Variational Principles to Resolve the St. Venant’s Torsional Bar with a Crack

Fan Xiu-chang

Tianjin College of Technology, Tianjin

Received Date: 1987-08-30
Publish Date: 1989-02-15

Abstract

Abstract

According to generalized variational principles suitable for linear elastic incompatible displacement elements given by Professor Chien Wei-zang, using crack tip singular element and isoparametric surrounding element given by the author of this paper, we will study the St. Venant's torsional bar with a radial vertical crack and compare the present computed results with the results of reference [2], The present computed results show that, using the method provided in this paper, satisfactory convergent solution can be obtained under lower degree of freedom.

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References(2)

References

[1]	钱伟长,《广义变分原理》,知识出版社(1985).
[2]	蔡承文等,计算St. Venant扭转时K_Ⅱ的任意高阶奇应变单元,固体力学学报,1 (1983).