Boundary Integral Equations for an Interface Linear Crack under Harmonic Loading

Iryna Mykhailova; Oleksandr Menshykov; Marina Menshykova; Igor Guz

Boundary Integral Equations for an Interface Linear Crack under Harmonic Loading

Iryna Mykhailova, Oleksandr Menshykov, Marina Menshykova, Igor Guz

Research output: Contribution to conference › Oral Presentation/ Invited Talk

Abstract

The present study is devoted to application of boundary integral equations to the problem of a linear crack located on the bimaterial interface under time-harmonic loading. Using the Somigliana dynamic identity the system of boundary integral equations for displacements and tractions at the interface is derived. For the numerical solution the collocation method with piecewise constant approximation on each linear continuous boundary elements is used. The distributions of the displacements at the bimaterial interface are computed for different values of the frequency of the incident tension-compression wave.

Original language	English
Number of pages	9
Publication status	Published - 2008
Event	Fourth International Conference on Advanced COmputational Methods in ENgineering - University of Liège, Liège, Belgium Duration: 26 May 2008 → 28 May 2008 Conference number: 4

Conference

Conference	Fourth International Conference on Advanced COmputational Methods in ENgineering
Abbreviated title	ACOMEN 2008
Country/Territory	Belgium
City	Liège
Period	26/05/08 → 28/05/08

Bibliographical note

The support of the Engineering and Physical Sciences Research Council, UK (Standard Research Grant EP/E020976/1) is gratefully acknowledged. The authors are very grateful to Dr. Maria Kashtalyan (CEMINACS, University of Aberdeen, UK) for the helpful discussions and valuable suggestions

Cite this

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title = "Boundary Integral Equations for an Interface Linear Crack under Harmonic Loading",

abstract = "The present study is devoted to application of boundary integral equations to the problem of a linear crack located on the bimaterial interface under time-harmonic loading. Using the Somigliana dynamic identity the system of boundary integral equations for displacements and tractions at the interface is derived. For the numerical solution the collocation method with piecewise constant approximation on each linear continuous boundary elements is used. The distributions of the displacements at the bimaterial interface are computed for different values of the frequency of the incident tension-compression wave.",

author = "Iryna Mykhailova and Oleksandr Menshykov and Marina Menshykova and Igor Guz",

note = "The support of the Engineering and Physical Sciences Research Council, UK (Standard Research Grant EP/E020976/1) is gratefully acknowledged. The authors are very grateful to Dr. Maria Kashtalyan (CEMINACS, University of Aberdeen, UK) for the helpful discussions and valuable suggestions; Fourth International Conference on Advanced COmputational Methods in ENgineering, ACOMEN 2008 ; Conference date: 26-05-2008 Through 28-05-2008",

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TY - CONF

T1 - Boundary Integral Equations for an Interface Linear Crack under Harmonic Loading

AU - Mykhailova, Iryna

AU - Menshykov, Oleksandr

AU - Menshykova, Marina

AU - Guz, Igor

N1 - Conference code: 4

PY - 2008

Y1 - 2008

N2 - The present study is devoted to application of boundary integral equations to the problem of a linear crack located on the bimaterial interface under time-harmonic loading. Using the Somigliana dynamic identity the system of boundary integral equations for displacements and tractions at the interface is derived. For the numerical solution the collocation method with piecewise constant approximation on each linear continuous boundary elements is used. The distributions of the displacements at the bimaterial interface are computed for different values of the frequency of the incident tension-compression wave.

AB - The present study is devoted to application of boundary integral equations to the problem of a linear crack located on the bimaterial interface under time-harmonic loading. Using the Somigliana dynamic identity the system of boundary integral equations for displacements and tractions at the interface is derived. For the numerical solution the collocation method with piecewise constant approximation on each linear continuous boundary elements is used. The distributions of the displacements at the bimaterial interface are computed for different values of the frequency of the incident tension-compression wave.

UR - https://www.researchgate.net/publication/345821001_Boundary_Integral_Equations_for_an_Interface_Linear_Crack_under_Harmonic_Loading

M3 - Oral Presentation/ Invited Talk

T2 - Fourth International Conference on Advanced COmputational Methods in ENgineering

Y2 - 26 May 2008 through 28 May 2008

ER -

Boundary Integral Equations for an Interface Linear Crack under Harmonic Loading

Abstract

Conference

Bibliographical note

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