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, 1996, 17(8): 749-757.
 Citation: 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, 1996, 17(8): 749-757.

# A Group of Isoparametric Elements Suitable for St.Venant's Torsion of a Bar with Cracks

• Rev Recd Date: 1995-12-11
• Publish Date: 1996-08-15
• In this paper,we shall give a group of new isoparametric elements suitable.for St.Wenant's torsion of a bar with vertical cracks.These elements are eight-point isoparametric element,quarter eight-Point isoparametric element and eight-point isoparametric transition element.Among these elements,the second and the third elements 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 radial vertical crack.The calculated results show that the isoparametric elements given bythis paper have ideal accuracy,good convergence.high speed of convergence,low freedom and little computational time,and so they can be widely applied to practice.
•  [1] 蔡承文等,计算St.Venant扭转时KⅡ的任意高阶奇应变单元,固体力学学报(1983),92-99. [2] 钱伟长,《广义变分原理》,知识出版社(1985). [3] 范秀昌,用位移非协调广义变分原理解含裂纹体的圣维南扭转问题,应用数学和力学,10,(2)(1989),189-196. [4] R.S.Barsoum,Triangular quarter-point elements as elastic and perfectly-plastic crack tip elements,Int.J.Num.Mech.Engng.,11(1977),85-97. [5] C.Manu,Quadratic isdparametric elements as transition element,Engneg.Frach.Mech.,24,4(1986),509-512.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142