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.

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

  • Received Date: 1987-08-30
  • Publish Date: 1989-02-15
  • 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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  • [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的任意高阶奇应变单元,固体力学学报,1 (1983).
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