Journal article
A new method for essential boundary conditions imposition in explicit meshless methods
Engineering Analysis with Boundary Elements, Vol.80, pp.94-104
2017
Abstract
In this paper we present a new technique of enforcing Essential Boundary Conditions (EBC) in Meshless Methods (MMs) based on the Element Free Galerkin (EFG) principles. Imposing EBC is a fundamental issue in MMs. The imposition of prescribed displacement values on the boundary in MMs based on approximating shape functions is not as straightforward as in the Finite Element Method (FEM) because the meshless shape functions are generally not interpolating at nodes. Furthermore, many techniques of enforcing EBC are not compatible with explicit time integration schemes. This paper describes a new method of imposing EBC in EFG based MMs suitable for explicit time integration, named Essential Boundary Conditions Imposition in Explicit Meshless (EBCIEM). The effectiveness of the proposed method is demonstrated using both 2D and 3D numerical examples
Details
- Title
- A new method for essential boundary conditions imposition in explicit meshless methods
- Authors/Creators
- G.R. Joldes (Author/Creator) - Murdoch UniversityH. Chowdhury (Author/Creator) - The University of Western AustraliaA. Wittek (Author/Creator) - The University of Western AustraliaK. Miller (Author/Creator) - The University of Western Australia
- Publication Details
- Engineering Analysis with Boundary Elements, Vol.80, pp.94-104
- Publisher
- Elsevier
- Identifiers
- 991005542664807891
- Copyright
- © 2017 Elsevier Ltd
- Murdoch Affiliation
- School of Engineering and Information Technology
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 7 Engineering & Materials Science
- 7.63 Mechanics
- 7.63.1370 Meshless Method
- Web Of Science research areas
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications
- ESI research areas
- Engineering