| Issue |
ESAIM: M2AN
Volume 58, Number 3, May-June 2024
|
|
|---|---|---|
| Page(s) | 927 - 955 | |
| DOI | https://doi.org/10.1051/m2an/2024027 | |
| Published online | 06 June 2024 | |
New pipe element based on Hermite-Jackson interpolation
1
EDF R&D ERMES, 7 boulevard Gaspard Monge, 91120 Palaiseau, France
2
Faculty of Arts and Design, University of Canberra, Bruce 2617, Australia
3
Department of Civil Engineering, University of Transport Technology, Hanoi 100000, Vietnam
* Corresponding author: eliass.zafati@edf.fr
Received:
17
January
2023
Accepted:
8
April
2024
A new pipe finite element is proposed for piping analysis within the framework of linear shell theory. The approach involves the use of a mixed interpolation of classical polynomial and trigonometric polynomial spaces, with trigonometric interpolation performed via Hermite-Jackson polynomials along the mid-surface section. Error estimates are provided and a convergence analysis is performed under specific assumptions on the regularity of the solution. The proposed element is validated through several numerical examples, which demonstrate its accuracy and efficiency in terms of computational cost. This method represents a promising approach for addressing the challenges of piping analysis.
Mathematics Subject Classification: 74K25 / 42A15 / 35J15 / 74S05
Key words: Linear shell theory / finite element method / Jackson polynomials / hermite trigonometric interpolation / error estimates
© The authors. Published by EDP Sciences, SMAI 2024
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