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A new support integration scheme for the weakform in mesh-free methods

✍ Scribed by Yan Liu; Ted Belytschko

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 266 KB
Volume: 82
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.2780

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✦ Synopsis

Abstract

A new support integration technique is proposed, which is similar to those used in truly mesh‐free methods. The contribution of this paper is to exploit the divergence‐free condition for the support integrals to construct quadrature formulas that only require three integration points per particle in two dimensions. Numerical examples show that the proposed integration method can achieve results that agree with manufactured closed‐form solutions. Copyright © 2009 John Wiley & Sons, Ltd.

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