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Wave propagation in soils problems using the Generalized Finite Difference Method

Benito, J.J. / Ureña, F. / Salete, E. / Muelas, A. / Gavete, L. / Galindo, R.

Abstract The consideration of highly irregular topography or heterogeneities and singularities in the domain are necessary for solving a wide variety of seismic problems, e. g. earthquake site studies. Therefore, the use of a meshless method (MM) with the possibility of employing an irregular grid point distribution can be of interest for modeling this kind of problems. The tradition of using Finite Different Methods for modeling seismic wave propagation problems have allowed researches to solve it and, in fact, a numerical model using the geotechnical calculation software FLAC has been used here to validate the results. It is clear the improvement of using meshless method techniques to incorporate irregularities in a natural way.

Highlights • Application of the GFDM to the waves propagation in soils. • Comparison between approximation of the formulation of second and fourth order. • Implementation of the PML and analysis of results. • Validation with geotechnical software FLAC. • Application to the solution of a Lamb׳s problem with domain irregularities.

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Wave propagation in soils problems using the Generalized Finite Difference Method

Benito, J.J. / Ureña, F. / Salete, E. / Muelas, A. / Gavete, L. / Galindo, R.

Abstract The consideration of highly irregular topography or heterogeneities and singularities in the domain are necessary for solving a wide variety of seismic problems, e. g. earthquake site studies. Therefore, the use of a meshless method (MM) with the possibility of employing an irregular grid point distribution can be of interest for modeling this kind of problems. The tradition of using Finite Different Methods for modeling seismic wave propagation problems have allowed researches to solve it and, in fact, a numerical model using the geotechnical calculation software FLAC has been used here to validate the results. It is clear the improvement of using meshless method techniques to incorporate irregularities in a natural way.

Highlights • Application of the GFDM to the waves propagation in soils. • Comparison between approximation of the formulation of second and fourth order. • Implementation of the PML and analysis of results. • Validation with geotechnical software FLAC. • Application to the solution of a Lamb׳s problem with domain irregularities.

Wave propagation in soils problems using the Generalized Finite Difference Method

Benito, J.J. / Ureña, F. / Salete, E. / Muelas, A. / Gavete, L. / Galindo, R.

Abstract The consideration of highly irregular topography or heterogeneities and singularities in the domain are necessary for solving a wide variety of seismic problems, e. g. earthquake site studies. Therefore, the use of a meshless method (MM) with the possibility of employing an irregular grid point distribution can be of interest for modeling this kind of problems. The tradition of using Finite Different Methods for modeling seismic wave propagation problems have allowed researches to solve it and, in fact, a numerical model using the geotechnical calculation software FLAC has been used here to validate the results. It is clear the improvement of using meshless method techniques to incorporate irregularities in a natural way.

Highlights • Application of the GFDM to the waves propagation in soils. • Comparison between approximation of the formulation of second and fourth order. • Implementation of the PML and analysis of results. • Validation with geotechnical software FLAC. • Application to the solution of a Lamb׳s problem with domain irregularities.

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Title:

Wave propagation in soils problems using the Generalized Finite Difference Method

Contributors:

Benito, J.J. (author) / Ureña, F. (author) / Salete, E. (author) / Muelas, A. (author) / Gavete, L. (author) / Galindo, R. (author)

Published in:

Soil Dynamics and Earthquake Engineering ; 79 ; 190-198

Publication date:

2015-09-21

Size:

9 pages

ISSN:

DOI:

https://doi.org/10.1016/j.soildyn.2015.09.012

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Meshless methods , Generalized Finite Difference Method , Moving least squares , Seismic waves propagation , Perfectly matched layer

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