A new method for essential boundary conditions imposition in explicit meshless methods

Joldes, Grand Roman, Chowdhury, Habib, Wittek, Adam and Miller, Karol 2017. A new method for essential boundary conditions imposition in explicit meshless methods. Engineering Analysis with Boundary Elements 80 , pp. 94-104. 10.1016/j.enganabound.2017.03.011

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Engineering
Publisher:	Elsevier
ISSN:	0955-7997
Date of Acceptance:	10 March 2017
Last Modified:	19 Mar 2019 13:13
URI:	https://orca.cardiff.ac.uk/id/eprint/120479

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