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 article |
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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http://hdl.handle.net/11025/30878
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