Citation

Perumal, Logah and Koh, Wei Hao (2023) Techniques for element formulation and quadtree-based triangular mesh generation for strain-based finite elements. MethodsX, 10. p. 102027. ISSN 2215-0161

Text 1-s2.0-S2215016123000316-main.pdf - Published Version Restricted to Repository staff only Download (1MB)

Abstract

Finite elements are often formulated by imposing sufficient conditions to ensure convergence and good accuracy. This work demonstrates a new technique to impose compatibility and equilibrium conditions for membrane finite elements that are formulated based on the strain approach. • The compatibility and equilibrium conditions are imposed onto the initial formulations (or test functions) by using corrective coefficients (c1, c2, and c3). • The technique is found to be capable of producing alternate or similar forms for the test functions. Performances of the resultant (or final) formulations are shown by solving three benchmark problems. Additionally, a new technique to formulate strain-based triangular transition elements (denoted as SB-TTE) is introduced. • The new technique introduces another node (the fourth node) at one of the sides of a strain-based triangular element (mid-node, which is needed for the quadtree-based triangular mesh generation) without adding a degree of freedom.

Item Type:	Article
Uncontrolled Keywords:	Strain-based elements, Corrective coefficients, Compatibility and equilibrium, Transition element, Quadtree-based triangular mesh Virtual node method
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Faculty of Engineering and Technology (FET)
Depositing User:	Ms Nurul Iqtiani Ahmad
Date Deposited:	01 Mar 2023 06:00
Last Modified:	01 Mar 2023 06:00
URII:	http://shdl.mmu.edu.my/id/eprint/11191

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