Extension of the pufem to elasticwave propagation in layered media

Omar Laghrouche; Abdellah El-Kacimi; J. Trevelyan

Extension of the pufem to elasticwave propagation in layered media

Omar Laghrouche^*, Abdellah El-Kacimi, J. Trevelyan

^*Corresponding author for this work

Durham University

Research output: Contribution to conference › Paper › peer-review

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 language	English
Number of pages	12
Publication status	Published - 2011
Event	3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering 2011 - Corfu, Greece Duration: 25 May 2011 → 28 May 2011

Conference

Conference	3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering 2011
Abbreviated title	COMPDYN 2011
Country/Territory	Greece
City	Corfu
Period	25/05/11 → 28/05/11

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

Cite this

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title = "Extension of the pufem to elasticwave propagation in layered media",

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.",

keywords = "Elastic waves, Finite elements, Free surface, Lagrange multipliers, Layered media, Plane wave basis, Rayleigh waves",

author = "Omar Laghrouche and Abdellah El-Kacimi and J. Trevelyan",

year = "2011",

language = "English",

note = "3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering 2011, COMPDYN 2011 ; Conference date: 25-05-2011 Through 28-05-2011",

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T1 - Extension of the pufem to elasticwave propagation in layered media

AU - Laghrouche, Omar

AU - El-Kacimi, Abdellah

AU - Trevelyan, J.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Elastic waves

KW - Finite elements

KW - Free surface

KW - Lagrange multipliers

KW - Layered media

KW - Plane wave basis

KW - Rayleigh waves

UR - http://www.scopus.com/inward/record.url?scp=80054808774&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:80054808774

T2 - 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering 2011

Y2 - 25 May 2011 through 28 May 2011

ER -

Extension of the pufem to elasticwave propagation in layered media

Abstract

Conference

Keywords

ASJC Scopus subject areas

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