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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (8): 795-804.

• 论文 • 上一篇    

A GROUP OF ISOPARAMETRIC ELEMENTS SUITABLE FOR ST.VENANT’S TORSION OF A BAR WITH CRACKS

范秀昌1, 吴月明2   

  1. 1. Tianjin Institute of Technology, Tianjin 300191, P. R. China;
    2. Tianjin Financial and Economical University, Tianjin 300222, P. R. China
  • 收稿日期:1994-04-19 修回日期:1995-12-11 出版日期:1996-08-18 发布日期:1996-08-18

A GROUP OF ISOPARAMETRIC ELEMENTS SUITABLE FOR ST.VENANT’S TORSION OF A BAR WITH CRACKS

Fan Xiuchang1, Wu Yueming2   

  1. 1. Tianjin Institute of Technology, Tianjin 300191, P. R. China;
    2. Tianjin Financial and Economical University, Tianjin 300222, P. R. China
  • Received:1994-04-19 Revised:1995-12-11 Online:1996-08-18 Published:1996-08-18

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摘要： In this paper, we shall give a group of new isoparametric elements suitable.for St.Wnant’s torsion of a bar with vertical cracks. These elements are eight-pointisoparametric element, quarter eight-Point isoparametric element and eight-pointisoparametric transition element. Among these elements, the second and the thirdelements possess the singularity of order r-1/2 at crack tip. Using these elements, wehave completed the calculations of St. Venant’s torsion for a cylinder with a radialvertical crack. The calculated results show that the isoparametric elements given bythis paper have ideal accuracy. good convergence. high speed of convergence, lowfreedom and little computational time, and so they can be widely applied to practice.

关键词: singular finite element, transition finite element, fracturemechanics, St, Venant’s torsion

Abstract: In this paper, we shall give a group of new isoparametric elements suitable.for St.Wnant’s torsion of a bar with vertical cracks. These elements are eight-pointisoparametric element, quarter eight-Point isoparametric element and eight-pointisoparametric transition element. Among these elements, the second and the thirdelements possess the singularity of order r-1/2 at crack tip. Using these elements, wehave completed the calculations of St. Venant’s torsion for a cylinder with a radialvertical crack. The calculated results show that the isoparametric elements given bythis paper have ideal accuracy. good convergence. high speed of convergence, lowfreedom and little computational time, and so they can be widely applied to practice.

Key words: singular finite element, transition finite element, fracturemechanics, St, Venant’s torsion

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