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Numerical Simulation Based on Meshless Formulation: Application to 2D Solid Mechanics

[+] Author Affiliations
Y. Ghozzi, C. Labergere

University of Technology of Troyes, Troyes, France

P. Villon

University of Technology of Compiegne, Compiegne, France

Paper No. ESDA2012-82330, pp. 439-447; 9 pages
doi:10.1115/ESDA2012-82330
From:
  • ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis
  • Volume 1: Advanced Computational Mechanics; Advanced Simulation-Based Engineering Sciences; Virtual and Augmented Reality; Applied Solid Mechanics and Material Processing; Dynamical Systems and Control
  • Nantes, France, July 2–4, 2012
  • Conference Sponsors: International
  • ISBN: 978-0-7918-4484-7
  • Copyright © 2012 by ASME

abstract

This paper presents the development of Meshless Methods based on Moving Least Square Approximation (MLSA) [3][10][14]. In the case of solid mechanics, the shape displacement functions are computed for each node with a centered scheme approximation [3][12] associated with a specific weight function [10]. Both interpolated and approximated weight functions are studied [10][9][15]. We propose to build a new C1 weight function based on a 2d boundary line. The Galerkin Method is used to solve the mechanical equilibrium balance problems [14]. A 2-dimensional example is presented to validate the Meshless Method.

Copyright © 2012 by ASME

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