A 2-D Meshless Model for Soil Subsurface Settlement

Author:

Mužík Juraj1

Affiliation:

1. University of žilina

Abstract

The paper deals with use of the meshless method for soil subsurface settlement 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.

Publisher

Trans Tech Publications, Ltd.

Reference8 articles.

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2. Y.T. Gu, G.R. Liu, A meshless Local Petrov-Galerkin (MLPG) formulation for static and free vibration analyses of thin plates. Computer Modeling in Engineering & Sciences, pp.463-476, (2001).

3. K. Kovarik, Numerical simulation of groundwater flow and pollution transport using the dual reciprocity and RBF method. Komunikacie – Communications, 12 3a (2010) 5-10.

4. K. Kovarik, D. Sitanyiova, S. Masarovicova, Water-engineering construction [Vodohospodarske stavby]. University of Zilina, 2008, 217 p.

5. J. Izvoltova, A. Villim, Identification of observations errors by Gauss-Jacobi algorithm [Aplikacia Gauss-Jacobiho algoritmu pri identifikacii chyb merania]. In: Civil and environmental engineering, 8 1 (2012) 13-17.

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