Boundary integral equations for an interface linear crack under harmonic loading

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)2279-2286
Number of pages8
JournalJournal of Computational and Applied Mathematics
Volume234
Issue number7
Early online date18 Aug 2009
DOIs
Publication statusPublished - 1 Aug 2010
EventFourth International Conference on Advanced COmputational Methods in ENgineering - University of Liège, Liège, Belgium
Duration: 26 May 200828 May 2008
Conference number: 4

Fingerprint

Boundary integral equations
Boundary Integral Equations
Crack
Harmonic
Cracks
Bimaterial
Collocation Method
Boundary Elements
Numerical Solution
Approximation

Keywords

  • fracture dynamics
  • boundary integral equations
  • interface crack
  • contact interaction

Cite this

Boundary integral equations for an interface linear crack under harmonic loading. / Mykhailova, Iryna; Menshykov, Oleksandr; Menshykova, Maryna; Guz, Igor.

In: Journal of Computational and Applied Mathematics, Vol. 234, No. 7, 01.08.2010, p. 2279-2286.

Research output: Contribution to journalArticle

@article{a6c004aa133e44e88c507ec6ffe61437,
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.",
year = "2010",
month = "8",
day = "1",
doi = "10.1016/j.cam.2009.08.084",
language = "English",
volume = "234",
pages = "2279--2286",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",
number = "7",

}

TY - JOUR

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 - The authors are very grateful to Dr. Maria Kashtalyan (CEMINACS, University of Aberdeen, UK) for the helpful discussions and valuable suggestions.

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

ER -