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Local Maximum Entropy Shape Functions Based FE-EFGM Coupling

Ullah, Zahur, Augarde, C.E. and Coombs, W. M. (2013) Local Maximum Entropy Shape Functions Based FE-EFGM Coupling. School of Engineering and Computing Sciences, Durham University, 25 pp [Internet publication]

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URL: https://www.dur.ac.uk/resources/ecs/research/technical_reports/2013_07.pdf

Abstract

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 theEFG zone of the problem domain. These shape functions possess a weak Kroneckerdelta property at the boundaries which provides a natural way to couple the EFGand 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 theEFG 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 two-dimensional geometrically nonlinear benchmark numerical examples are solved by the new approach to demonstrate the implementation and performance of the current approach.

Item Type:Internet publication
Keywords:FE-EFGM coupling, maximum entropy basis functions, linear-elasticity, non-linear elasticity, moving least square basis functions
Faculties and Schools:Faculty of Computing & Engineering
Faculty of Computing & Engineering > School of Engineering
ID Code:38571
Deposited By: Dr Zahur Ullah
Deposited On:05 Sep 2017 10:54
Last Modified:17 Oct 2017 16:31

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