Numerical instability in the element-free Galerkin method for bi-material modeling

Authors

  • Tanyada Pannachet Department of Civil Engineering, Faculty of Engineering, Khon Kaen University, Thailand
  • Surachai Triyotee Department of Civil Engineering, Faculty of Engineering, Khon Kaen University, Thailand
  • Maetee Boonpichetvong Department of Civil Engineering, Faculty of Engineering, Khon Kaen University, Thailand

DOI:

https://doi.org/10.24132/acm.2018.446

Keywords:

element free Galerkin method, constraint, interpolating weight function, instability

Abstract

This paper presents numerical results from modeling of bi-material problems using the element-free Galerkin method. The conventional EFG shape functions do not pass through the nodal data, imposition of nodal constraints brings difficulties, thus some special techniques must be employed. In bi-material problems, connecting the two subdomains of different properties may still be possible via Lagrange multipliers, penalty function, Nitsche’s formulation, or direct imposition when using a regularized weighting function to transform the EFG shape functions. All these mentioned techniques are explored and compared in this paper. Some remarks about numerical instabilities are reported.

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Published

31-Dec-2018

Issue

Vol. 12 No. 2 (2018)

Section

Articles

License

Copyright (c) 2019 Applied and Computational Mechanics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

“Numerical instability in the element-free Galerkin method for bi-material modeling” (2018) Applied and Computational Mechanics, 12(2). doi:10.24132/acm.2018.446.