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

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

Authors

Z. Ullah

Professor Charles Augarde charles.augarde@durham.ac.uk
Head Of Department

Professor William Coombs w.m.coombs@durham.ac.uk
Professor

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 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.

Citation

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	https://www.dur.ac.uk/resources/ecs/research/technical_reports/2013_07.pdf
Related Public URLs	https://www.dur.ac.uk/resources/ecs/research/technical_reports/2013_07.pdf
Additional Information	Additional Information: ECS-TR2013/7 Publisher: School of Engineering and Computing Sciences, Durham University Type: monograph Subtype: technical_report