| A GROUP OF ISOPARAMETRIC ELEMENTS SUITABLE FOR ST．VENANT’S TORSION OF A BAR WITH CRACKS |
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| 引用本文： | 范秀昌,吴月明.A GROUP OF ISOPARAMETRIC ELEMENTS SUITABLE FOR ST．VENANT’S TORSION OF A BAR WITH CRACKS[J].应用数学和力学(英文版),1996,17(8):795-804. |
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| 作者姓名： | 范秀昌 吴月明 |
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| 作者单位： | Fan Xiuchang;Wu Yueming(Tianjin Institute of Technology，Tianjin 300191，P. R. China)(Tianjin Financial and Economical University，Tianjin 300222，P.R. China) |
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| 摘 要： | ＡＧＲＯＵＰＯＦＩＳＯＰＡＲＡＭＥＴＲＩＣＥＬＥＭＥＮＴＳＳＵＩＴＡＢＬＥＦＯＲＳＴ．ＶＥＮＡＮＴ’ＳＴＯＲＳＩＯＮＯＦＡＢＡＲＷＩＴＨＣＲＡＣＫＳＦａｎＸｉｕｃｈａｎｇ（范秀昌）ＷｕＹｕｅｍｉｎｇ（吴月明）（ＴｉａｎｊｉｎＩｎｓｔｉｔｕｔｅｏｆＴｅ...
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| 关 键 词： | singular finite element transition finite element fracturemechanics St Venant’s torsion |
| 收稿时间： | 19 April 1994 |
A group of isoparametric elements suitable for St. Venant's torsion of a bar with cracks |
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| Fan Xiuchang,Wu Yueming.A group of isoparametric elements suitable for St. Venant's torsion of a bar with cracks[J].Applied Mathematics and Mechanics(English Edition),1996,17(8):795-804. |
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| Authors: | Fan Xiuchang Wu Yueming |
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| Institution: | (1) Tianjin Institute of Technology, 300191 Tianjin, P. R. China;(2) Tianjin Financial and Economical University, 300222 Tianjin, P. R. China |
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| 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. |
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| Keywords: | singular finite element transition finite element fracturemechanics St Venant's torsion |
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