Abstract
The Wilson and Taylor elements Q6 and QM6, the representative nonconforming finite element method (FEM), have been successfully developed and implemented in the finite element code SAP for improved displacement and stress analysis. This paper formulates an improved convergent nonconforming axisymmetric element AQM6 over the corresponding axisymmetric Q6 and QM6 elements. The proposed modified nonconforming axisymmetric element AQM6 satisfies the engineering patch test condition for convergence, and also meets the condition for suppression of spurious shear stress by using a special remedying procedure. The numerical test results are in agreement with the element performance.
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Project supported by CAO Guangbiao High-Tech F. of Zhejiang Univ. (No. U19902), Zhejiang Edu. Committee SRF for Outstanding Returned Overseas Scholars (No. G59990), US NSF (No. DDM-9313204) and Seiko Epson-Rutgers Univ. Project (No. 4-27365).
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Wu, Z., Desai, C.S. & Yong, Y.K. An improved axisymmetric wilson nonconforming finite element method for stress analysis. J. Zhejiang Univ. Sci. A 1, 284–290 (2000). https://doi.org/10.1631/BF02910638
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DOI: https://doi.org/10.1631/BF02910638
Key words
- nonconforming finite element
- axisymmetric Wilson element
- patch test condition
- convergence
- spurious shear stress