<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Bearing Capacity Analysis Using Meshless Local Petrov-Galerkin Method

Department of Geotechnics, Faculty of Civil Engineering, University of Žilina, Žilina, Slovak Republic

Civil and Environmental Engineering

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

{"article-title":"Bearing Capacity Analysis Using Meshless Local Petrov-Galerkin Method"}

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...

Bearing Capacity Analysis Using Meshless Local Petrov-Galerkin Method

Published Online: May 30, 2014

Page range: 69 - 78

DOI: https://doi.org/10.2478/cee-2014-0009

Keywords
Bearing capacity, Heaviside step function, Meshless local Petrov-Galerkin method, Meshless methods, Numerical methods

© 2014

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Bearing Capacity Analysis Using Meshless Local Petrov-Galerkin Method

Published Online: May 30, 2014

Page range: 69 - 78

DOI: https://doi.org/10.2478/cee-2014-0009

KeywordsBearing capacity, Heaviside step function, Meshless local Petrov-Galerkin method, Meshless methods, Numerical methods

© 2014

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Keywords
Bearing capacity, Heaviside step function, Meshless local Petrov-Galerkin method, Meshless methods, Numerical methods