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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (10): 929-936.

• 论文 • 上一篇    下一篇

A GENERALIZED CONFORMING ISOPARAMETRIC ELEMENT

龙驭球, 黄民丰   

  1. Qinghua University, Beijing
  • 收稿日期:1987-10-15 出版日期:1988-10-18 发布日期:1988-10-18

A GENERALIZED CONFORMING ISOPARAMETRIC ELEMENT

Long Yu-qiu, Huang Min-feng   

  1. Qinghua University, Beijing
  • Received:1987-10-15 Online:1988-10-18 Published:1988-10-18

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摘要： Based on the generalized compatibility condition under constant and linear stress field, a quadrilateral generalized conforming isoparametric element, GC-Q6, for plane stress analysis, is developed. The element GC-Q6 can be regarded as an improved form of Wilson’s non-conforming isoparametric element Q6. GC-Q6 can pass the patch test for arbitrary irregular mesh while Q6 can not. GC-Q6 degenerates to Q6 when it is a parallelogram. Numerical examples show that the GC-Q6 element gives more accurate stress solution than the existing non-conforming elements and is less sensitive to geometric distortion.

Abstract: Based on the generalized compatibility condition under constant and linear stress field, a quadrilateral generalized conforming isoparametric element, GC-Q6, for plane stress analysis, is developed. The element GC-Q6 can be regarded as an improved form of Wilson’s non-conforming isoparametric element Q6. GC-Q6 can pass the patch test for arbitrary irregular mesh while Q6 can not. GC-Q6 degenerates to Q6 when it is a parallelogram. Numerical examples show that the GC-Q6 element gives more accurate stress solution than the existing non-conforming elements and is less sensitive to geometric distortion.

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