Title: Numerical instability in the element-free Galerkin method for bi-material modeling
Authors: Pannachet, Tanyada
Triyotee, Surachai
Boonpichetvong, Maetee
Citation: Applied and Computational Mechanics. 2018, vol. 12, no. 2, p. 159-174.
Issue Date: 2018
Publisher: University of West Bohemia
Document type: článek
URI: http://hdl.handle.net/11025/30878
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: bezprvková Galerkinova metoda;omezení;interpolační váhová funkce;nestabilita
Keywords in different language: 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 technique s are explored and compared in this paper . Some remarks about numerical instabilities are reported.
Rights: © 2018 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 12, number 2 (2018)
Volume 12, number 2 (2018)

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