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Application of the Meshless Local Petrov-Galerkin Method for Subsoil Settlement Analysis

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Abstract:

The paper deals with use of the meshless method for soil stress-deformation 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 shape function construction is the crucial part of the meshless numerical analysis in the construction of shape functions. The article presents the radial point interpolation method (RPIM) for the shape functions construction.

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Periodical:

Advanced Materials Research (Volume 969)

Pages:

55-62

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.969.55

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Online since:

June 2014

Authors:

Juraj Mužík*, Dana Sitányiová

Keywords:

Meshless Analysis, Meshless Petrov-Galerkin Method, Soil Settlement

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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References

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