Applied Mathematics and Mechanics

, Volume 3, Issue 1, pp 113–119 | Cite as

On the torsional rigidity for bars with L- and +-cross-section

  • Chen Yi-zhou
  • Chen Yi-heng


This paper is a continuation of the senior author's previous papers[1–3]. Using the harmonic continuation technique, the torsional rigidity for bars with L- and +-cross-section can be easily found. Numerical results are shown in Tables 1–3 respectively.


Mathematical Modeling Industrial Mathematic Senior Author Torsional Rigidity Continuation Technique 
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  1. 1.
    Chen Yi-zhou, Solution of torsion crack problems of a rectangular bar by harmonic function continuation technique. Engineering Fracture Mechanics, 13, (1980), 193–212.Google Scholar
  2. 2.
    Chen Yi-zhou, A method of evaluation of the torsional rigidity and the third intensity factor of prismatical bar of rectangular cross-section with cracks, Recent Selected Papers of Northwestern Polytechnical University, Part 1, (1979), 175–186. (in Chinese)Google Scholar
  3. 3.
    Chen, Yi-zhou, Some calculations of SIF for cracks in torsional bars with angle section and their torsional rigidity, Acta Mechanica Solid Sinica 2, (1981), 110–116. (in Chinese)Google Scholar
  4. 4.
    Chen Yi-heng, On a finite element model for solving the Dirichlet Problem of Laplace Equation (to be published) (1980).Google Scholar
  5. 5.
    Sokolnikoff, I.S., Mathematical theory of elasticity, (1956).Google Scholar
  6. 6.
    Budak, B. Y., Samarskii, A. A. and Tikhonov, A. N., A Collection of Problems on Mathematical Physics, Pergamon Press, (1964).Google Scholar
  7. 7.
    Wu Xiu-mou, Methods of Mathematical Physics, Vol. 2, (1958), 177. (in Chinese)Google Scholar
  8. 8.
    Chien Wei-zang et al., Torsion Pioblems of Bars in Elasticity, (1958). (in Chinese)Google Scholar

Copyright information

© Techmodern Business Promotion 1982

Authors and Affiliations

  • Chen Yi-zhou
    • 1
  • Chen Yi-heng
    • 2
  1. 1.Division of Solid MechanicsNorthwestern Polytechnical UniversityXian
  2. 2.Division of Solid MechanicsXian Chiao-tung UniversityXian

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