Improved Noncompatible Generalized Mixed Elements and Performance Analysis

ZHAO Zhiqin; QING Guanghui

doi:10.21656/1000-0887.390146

Volume 40 Issue 5

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ZHAO Zhiqin, QING Guanghui. Improved Noncompatible Generalized Mixed Elements and Performance Analysis[J]. Applied Mathematics and Mechanics, 2019, 40(5): 518-526. doi: 10.21656/1000-0887.390146

Citation:

ZHAO Zhiqin, QING Guanghui. Improved Noncompatible Generalized Mixed Elements and Performance Analysis[J]. Applied Mathematics and Mechanics, 2019, 40(5): 518-526. doi: 10.21656/1000-0887.390146

Citation:

ZHAO Zhiqin, QING Guanghui. Improved Noncompatible Generalized Mixed Elements and Performance Analysis[J]. Applied Mathematics and Mechanics, 2019, 40(5): 518-526. doi: 10.21656/1000-0887.390146

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Improved Noncompatible Generalized Mixed Elements and Performance Analysis

doi: 10.21656/1000-0887.390146

College of Aeronautical Engineering, Civil Aviation University of China,Tianjin 300300, P.R.China

Funds: The National Natural Science Foundation of China（11502286）

Received Date: 2018-05-14
Rev Recd Date: 2018-11-09
Publish Date: 2019-05-01

Abstract

Abstract

The coefficient matrix of traditional mixed elements has zero values on the principle diagonal. The most prominent feature of noncompatible generalized mixed elements is that they avoid this problem. Thus, the convergences of the displacement and the stress are stable. Combined with the enhanced assumed strain (EAS) method, a new type of 8-node noncompatible generalized mixed elements was established based on the minimum potential energy principle and the H-R variational principle. The element retains all the advantages of existing noncompatible generalized mixed elements. Meanwhile, the integral calculation is more simple. Numerical examples show that, the improved noncompatible generalized mixed element gives highly accurate results, and has a faster computation speed and less sensitivity to the geometric distortions.
- minimum potential energy principle,
- H-R variational principle,
- enhanced assumed strain,
- improved generalized mixed element

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References(16)

References

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