Boundary integral equations for an interface linear crack under harmonic loading

Iryna Mykhailova; Oleksandr Menshykov; Maryna Menshykova; Igor Guz

doi:10.1016/j.cam.2009.08.084

Boundary integral equations for an interface linear crack under harmonic loading

Iryna Mykhailova, Oleksandr Menshykov, Maryna Menshykova, Igor Guz

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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 are computed for different values of the frequency of the incident tension–compression wave. Results are compared with static ones.

Original language	English
Pages (from-to)	2279-2286
Number of pages	8
Journal	Journal of Computational and Applied Mathematics
Volume	234
Issue number	7
Early online date	18 Aug 2009
DOIs	https://doi.org/10.1016/j.cam.2009.08.084
Publication status	Published - 1 Aug 2010
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

Keywords

fracture dynamics
boundary integral equations
interface crack
contact interaction

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10.1016/j.cam.2009.08.084Licence: Other

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Boundary integral equations for an interface linear crack under harmonic loading
Iryna Mykhailova (Speaker), Oleksandr Menshykov (Contributor), Marina Menshykova (Speaker) & Igor Guz (Contributor)
26 May 2008 → 28 May 2008
Activity: Disseminating Research (including talks, presentations, public lectures, public engagement, outreach and knowledge exchange) › Presentation

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 are computed for different values of the frequency of the incident tension–compression wave. Results are compared with static ones.",

keywords = "fracture dynamics, boundary integral equations, interface crack, contact interaction",

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

note = "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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T1 - Boundary integral equations for an interface linear crack under harmonic loading

AU - Mykhailova, Iryna

AU - Menshykov, Oleksandr

AU - Menshykova, Maryna

AU - Guz, Igor

N1 - Conference code: 4

PY - 2010/8/1

Y1 - 2010/8/1

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 are computed for different values of the frequency of the incident tension–compression wave. Results are compared with static ones.

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 are computed for different values of the frequency of the incident tension–compression wave. Results are compared with static ones.

KW - fracture dynamics

KW - boundary integral equations

KW - interface crack

KW - contact interaction

U2 - 10.1016/j.cam.2009.08.084

DO - 10.1016/j.cam.2009.08.084

M3 - Article

VL - 234

SP - 2279

EP - 2286

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 7

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

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Boundary integral equations for an interface linear crack under harmonic loading

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