A Generalized Conforming Isoparametric Element

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Long Yu-qiu, Huang Min-feng. A Generalized Conforming Isoparametric Element[J]. Applied Mathematics and Mechanics, 1988, 9(10): 871-877.

Citation:

Long Yu-qiu, Huang Min-feng. A Generalized Conforming Isoparametric Element[J]. Applied Mathematics and Mechanics, 1988, 9(10): 871-877.

Citation:

Long Yu-qiu, Huang Min-feng. A Generalized Conforming Isoparametric Element[J]. Applied Mathematics and Mechanics, 1988, 9(10): 871-877.

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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