A new strain-based pentagonal membrane finite element for solid mechanics problems  

作　　者：Wei Hao Koh Logah Perumal CheeKuang Kok 

机构地区：[1]Faculty of Engineering and Technology,Multimedia University,Melaka 75450,Malaysia

出　　处：《Theoretical & Applied Mechanics Letters》2024年第3期211-216,共6页力学快报（英文版）

基　　金：supported by the Research Management Centre(RMC)of Multimedia University,Malaysia(Grant No.MMUI/220016).

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

关 键 词：Strain-based pentagonal element Corrective coefficients EquilibriumLaplacian smoothing Pentagonal mesh Mesh transition 

分 类 号：O34[理学—固体力学] O241.82[理学—力学]