Boundary integral equations for an interface linear crack under harmonic loading

I. I. Mykhailova; O. V. Menshykov; M. V. Menshykova; I. A. Guz

doi:10.1016/j.cam.2009.08.084

Boundary integral equations for an interface linear crack under harmonic loading

I. I. Mykhailova, O. V. Menshykov, M. V. Menshykova, I. A. Guz

School of Engineering & Physical Sciences

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
DOIs	https://doi.org/10.1016/j.cam.2009.08.084
Publication status	Published - 1 Aug 2010

Keywords

Boundary integral equations
Contact interaction
Fracture dynamics
Interface crack

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2009.08.084

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 = "Boundary integral equations, Contact interaction, Fracture dynamics, Interface crack",

author = "Mykhailova, {I. I.} and Menshykov, {O. V.} and Menshykova, {M. V.} and Guz, {I. A.}",

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AU - Mykhailova, I. I.

AU - Menshykov, O. V.

AU - Menshykova, M. V.

AU - Guz, I. A.

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 - Boundary integral equations

KW - Contact interaction

KW - Fracture dynamics

KW - Interface crack

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 7

ER -

Boundary integral equations for an interface linear crack under harmonic loading

Abstract

Keywords

ASJC Scopus subject areas

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