Local Maximum Entropy Shape Functions Based FE-EFGM Coupling

Ullah, Z., Augarde, C.E. and Coombs, W. M. (2013) Local Maximum Entropy Shape Functions Based FE-EFGM Coupling. Technical Report. Durham University.

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: Research Reports or Papers (Technical Report)
• Status: Published
• Glasgow Author(s) Enlighten ID: Ullah, Dr Zahur and Augarde, Dr Charles
• Authors: Ullah, Z., Augarde, C.E., and Coombs, W. M.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Publisher: Durham University
• Copyright Holders: Copyright © 2013 The Authors
• Publisher Policy: Reproduced with the permission of the authors

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