Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (8): 695-700.

• 论文 • 上一篇    下一篇

THE IMPROVED ISOPARAMETRIC TRANSFORMATION IN BEM

丁浩江, 何文军   

  1. Department of Engineering Mechanics, Zhejiang University, Hangzhou
  • 收稿日期:1988-05-03 出版日期:1989-08-18 发布日期:1989-08-18

THE IMPROVED ISOPARAMETRIC TRANSFORMATION IN BEM

Ding Hao-jiang, He Wen-jun   

  1. Department of Engineering Mechanics, Zhejiang University, Hangzhou
  • Received:1988-05-03 Online:1989-08-18 Published:1989-08-18

摘要: The midside node sensitivity of eight-node isoparametric element in 3-D BEM is investigated. The paper points out that the suggestion, based upon which the midside nodes should be located in the middle third of distance between the adjacent corners, should be followed even more strictly for the conventional isoparametric transformation (CIT) in BEM as that in FEM. A new coordinate transformation relation has been put forward to solve the singular integral problem. The computation is carried to two cases: a cubic body subjected to tensile stress and pure bending. The numerical results show that the improved isoparametric transformation (IIT) is easier and more flexible to practice.

Abstract: The midside node sensitivity of eight-node isoparametric element in 3-D BEM is investigated. The paper points out that the suggestion, based upon which the midside nodes should be located in the middle third of distance between the adjacent corners, should be followed even more strictly for the conventional isoparametric transformation (CIT) in BEM as that in FEM. A new coordinate transformation relation has been put forward to solve the singular integral problem. The computation is carried to two cases: a cubic body subjected to tensile stress and pure bending. The numerical results show that the improved isoparametric transformation (IIT) is easier and more flexible to practice.

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