›› 2006, Vol. 27 ›› Issue (S1): 65-68.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

A geometric construction method for polygonal finite elements

WANG Zhao-qing1，LI Shu-cai2，LI Shu-chen2，WANG Ming-bin1,2   

  1. 1. Institute of Engineering Mechanics, Shandong University of Architecture, Jinan 250101, China; 2. Research Center of Geotechnial and Stroctural Engineering，Shandong University，Jinan 250061，China
  • Received:2006-07-28 Published:2006-12-15

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Abstract: Based on the mesostructures of heterogeneous materials to partition meshes and using polygonal elements in finite element analysis, the numerical simulation based on real structures of materials can be realized. A geometric construction method of polygonal interpolation is presented. Constructing an aided polygon, the basis function expressions of polygonal interpolation are given using divergence theorem. The equivalence of geometric construction method and barycentric coordinates method by Floater is proved. The construction methods and properties of Wachspress interpolation, Laplace interpolation and mean value interpolation are compared and analyzed.

Key words: polygonal element, geometric construction method, mean value interpolation, wachspress interpolation, Laplace interpolation

CLC Number: 

  • TP 391
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
[1] WANG Zhao-Qing , LI Shu-Cai , LI Shu-Chen . Multi-node finite element approaches for unconfined seepage flow problem [J]. , 2008, 29(10): 2647-2650.
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