Communications - Scientific Letters of the University of Zilina 2013, 15(2):34-40 | DOI: 10.26552/com.C.2013.2.34-40

Meshless Analysis of an Embankment Using Local Galerkin Radial Point Interpolation Method (LGRPIM)

Juraj Muzik1, Karel Kovarik1, Dana Sitanyiova1
1 Department of geotechnics, Faculty Civil Engineering, University of Zilina, Slovakia

The paper deals with use of the meshless method for slope stability analysis. There are many formulations of the meshless methods. The article presents the Local Galerkin Radial Point Interpolation method (LGRPIM) - 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. The numerical example of the slope stability was calculated using meshless computer code and compared with FEM results.

Keywords: meshless, radial point interpolation method, numerical methods, slope stability

Published: June 30, 2013  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Muzik, J., Kovarik, K., & Sitanyiova, D. (2013). Meshless Analysis of an Embankment Using Local Galerkin Radial Point Interpolation Method (LGRPIM). Communications - Scientific Letters of the University of Zilina, 15(2), 34-40. doi: 10.26552/com.C.2013.2.34-40
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. MASAROVICOVA, S.: Testing of Rockfill Material for Soil Structures Design. Proc. of XXI Russian - Slovak - Polish Seminar: Theoretical Foundation of Civil Engineering, Warsaw, pp. 441-446, 2012.
    2. DRUSA, M.: Retaining Walls for the Road Structures (in Slovak), Stavebni konstrukce z pohledu geotechniky, Akademicke nakladatelstvi CERM, Brno, pp. 41-44, 2008
    3. FASKOVA,Z.: Numerical Methods for Solving Geodetic Boundary Value Problem. Edicia vedeckych prac; zosit 94, Bratislava, 2011.
    4. KOVARIK, K.: Numerical Simulation of Groundwater Glow and Pollution Transport Using the Dual Reciprocity and RBF Method. Communications - Scientific Letters of the University of Zilina, Vol. 12, 3a, pp. 5-10, 2010 Go to original source...
    5. GU, Y. T., LIU, G. R.: 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.
    6. GU, Y. T., LIU, G. R.: A Meshless Local Petrov-Galerkin (MLPG) Method for Free and Forced Vibration Analyses for Solids. Computational Mechanics, 27, pp. 188-198, 2001. Go to original source...
    7. SHU, C., DING, H., YEO, K. S.: Local Radial Basis Function-based Differential Quadrature Method and its Application to Solve Two-dimensional Incompressible Navier-Stokes Equations, Comput. Meth. Appl. Mech. Eng., 192, pp. 941-954, 2003. Go to original source...
    8. IZVOLTOVA, J., VILLIM, A.: Identification of Observations Errors by Gauss-Jacobi Algorithm (in Slovak). Civil and Environmental Engineering Scientific Technical J., Zilina,pp. 13-17,2012.

    This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content