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Local maximum entropy shape functions based FE-EFGM coupling

Ullah, Z.; Augarde, C.E.; Coombs, W.M.

Local maximum entropy shape functions based FE-EFGM coupling Thumbnail


Z. Ullah


In this paper, a new method for coupling the finite element method (FEM) and the element-free Galerkin method (EFGM) is proposed for linear elastic and geometrically nonlinear problems using local maximum entropy shape functions in the EFG zone of the problem domain. These shape functions possess a weak Kronecker delta property at the boundaries which provides a natural way to couple the EFG and the FE regions as compared to the use of moving least square basis functions. In this new approach, there is no need for interface/transition elements between the EFG and the FE regions or any other special treatment for shape function continuity across the FE-EFG interface. One- and two-dimensional linear elastic and twodimensional geometrically nonlinear benchmark numerical examples are solved by the new approach to demonstrate the implementation and performance of the current approach.


Ullah, Z., Augarde, C., & Coombs, W. (2013). Local maximum entropy shape functions based FE-EFGM coupling. [No known commissioning body]

Report Type Technical Report
Publication Date Jul 1, 2013
Deposit Date May 29, 2015
Publicly Available Date Mar 30, 2016
Pages 1-25
Series Title ECS technical reports
Publisher URL
Related Public URLs
Additional Information Additional Information: ECS-TR2013/7
Publisher: School of Engineering and Computing Sciences, Durham University
Type: monograph
Subtype: technical_report


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