Citation

Koh, Wei Hao and Perumal, Logah and Kok, Chee Kuang (2024) A new strain-based pentagonal membrane finite element for solid mechanics problems. Theoretical and Applied Mechanics Letters, 14 (3). p. 100499. ISSN 2095-0349

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Abstract

Polygonal finite elements remain an attractive option in finite element analysis due to their flexibility in modeling arbitrary shapes compared to triangles. In this study, a pentagonal membrane element was developed with the strain approach for the first time. The element possesses invariance, and the equilibrium constraint was applied to the assumed strain field using corrective coefficients. Inspired by the advancing front technique, a pentagonal mesh was generated, and the mesh quality was enhanced with Laplacian smoothing. The performance of the developed pentagonal element was assessed in a few numerical tests, and the results revealed its suitability in modeling the bending of beams. Besides, the numerical results are enhanced when pentagonal elements are used in mesh transitions along boundaries to smoothen curved edges and capture distributed loads.

Item Type:	Article
Uncontrolled Keywords:	Strain-based pentagonal element (SBP)Corrective coefficients, Equilibrium, Laplacian smoothing, Pentagonal mesh, Mesh transition
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK7800-8360 Electronics > TK7871 Electronics--Materials
Divisions:	Faculty of Engineering and Technology (FET)
Depositing User:	Ms Nurul Iqtiani Ahmad
Date Deposited:	02 May 2024 03:23
Last Modified:	02 May 2024 03:23
URII:	http://shdl.mmu.edu.my/id/eprint/12391

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