Study of Performance of US-FE-LSPIM QUAD4 Element on Mesh Distortion

Cheng Jia; Hui Hui Chen

doi:10.4028/www.scientific.net/AMR.490-495.3008

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 490-495Study of Performance of US-FE-LSPIM QUAD4 Element...

Study of Performance of US-FE-LSPIM QUAD4 Element on Mesh Distortion

Abstract:

This US-FE-LSPIM QUAD4 element is formed by using two different sets of shape functions for the trial and test functions, viz. sets of FE-LSPIM QUAD4 element shape functions and sets of classical isoparametric shape functions. For some test problems, the US-FE-LSPIM QUAD4 element has good accuracy. And by compared with FE-LSPIM QUAD4 element, the proposed element does not need to use Penalty method or Lagrange multiplier method to ensure fulfilment of exact essential boundary condition along the entire length of the edge. This paper further studies the performance of US-FE-LSPIM QUAD4 element on mesh distortion. Numerical test examples show that the element exhibits high precisions even under the mesh distortions. The US-FE-LSPIM QUAD4 element displays good tolerance to the mesh distortions

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Periodical:

Advanced Materials Research (Volumes 490-495)

Pages:

3008-3012

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.490-495.3008

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Online since:

March 2012

Authors:

Cheng Jia, Hui Hui Chen

Keywords:

FE-LSPIM QUAD4 Element, Finite Element, Higher Order Completeness, Mesh-Distortion, MeshFree, Unsymmetric Finite Element Formulation

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