Extension of the pufem to elasticwave propagation in layered media

Omar Laghrouche, Abdellah El-Kacimi, J. Trevelyan

Research output: Contribution to conferencePaper

Abstract

This work deals with the extension of the Partition of Unity Finite Element Method (PUFEM) to solve wave problems involving propagation, transmission and reflection in layered elastic media. Problems dealing with wave reflection at a free surface and propagation of pure Rayleigh waves are also considered. The proposed method consist to apply the plane wave basis decomposition to the elastic wave equation in each layer of the elastic medium and then enforce necessary continuity conditions at the interfaces through the use of Lagrange multipliers. The accuracy and effectiveness of the proposed technique is determined by comparing results for selected problems with known analytical solutions.

Original languageEnglish
Number of pages12
Publication statusPublished - 2011
Event3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering 2011 - Corfu, Greece
Duration: 25 May 201128 May 2011

Conference

Conference3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering 2011
Abbreviated titleCOMPDYN 2011
CountryGreece
CityCorfu
Period25/05/1128/05/11

Keywords

  • Elastic waves
  • Finite elements
  • Free surface
  • Lagrange multipliers
  • Layered media
  • Plane wave basis
  • Rayleigh waves

ASJC Scopus subject areas

  • Computers in Earth Sciences
  • Geotechnical Engineering and Engineering Geology
  • Computational Mathematics

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  • Cite this

    Laghrouche, O., El-Kacimi, A., & Trevelyan, J. (2011). Extension of the pufem to elasticwave propagation in layered media. Paper presented at 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering 2011, Corfu, Greece.