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Bearing Capacity Analysis Using Meshless Local Petrov-Galerkin Method Cover

Bearing Capacity Analysis Using Meshless Local Petrov-Galerkin Method

By: Juraj Mužík  
Open Access
|May 2014

Abstract

The paper deals with use of the meshless method for soil bearing capacity analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) - local weak formulation of the equilibrium equations. The main difference between meshless methods and the conventional finite element method (FEM) is that meshless shape functions are constructed using randomly scattered set of points without any relation between points. The Heaviside step function is test function used in the meshless implementation presented in the article. Heaviside test function makes weak formulation integral very simple, because only body integral in governing equation is due a body force.

DOI: https://doi.org/10.2478/cee-2014-0009 | Journal eISSN: 2199-6512 | Journal ISSN: 1336-5835
Language: English
Page range: 69 - 78
Published on: May 30, 2014
Published by: University of Žilina
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2014 Juraj Mužík, published by University of Žilina
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.