Boundary Integral Equations in the Frequency Domain for Interface Cracks under Impact Loading

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Abstract

In the study interface cracks between two dissimilar homogeneous isotropic half-spaces undergoing impact loading are considered. The problem is solved using the boundary integral equations in the frequency domain. The distributions of the displacements and tractions at the bonding interface and surfaces of the cracks are obtained and analyzed. The stress intensity factors (opening and shear modes) are computed for different load conditions and various properties of the bimaterial. The results are compared with the ones obtained in the time domain.
Original languageEnglish
Pages (from-to)165–166
Number of pages2
JournalProceedings in Applied Mathematics and Mechanics (PAMM)
Volume12
Issue number1
DOIs
Publication statusPublished - Dec 2012
Event83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) - TU Darmstadt, Darmstadt, Germany
Duration: 26 Mar 201230 Mar 2012
Conference number: 83
http://www.gamm2012.tu-darmstadt.de

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integral equations
cracks
stress intensity factors
traction
half spaces
shear

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@article{26d6c46be82f4cadbbcbbf01af7bdfc0,
title = "Boundary Integral Equations in the Frequency Domain for Interface Cracks under Impact Loading",
abstract = "In the study interface cracks between two dissimilar homogeneous isotropic half-spaces undergoing impact loading are considered. The problem is solved using the boundary integral equations in the frequency domain. The distributions of the displacements and tractions at the bonding interface and surfaces of the cracks are obtained and analyzed. The stress intensity factors (opening and shear modes) are computed for different load conditions and various properties of the bimaterial. The results are compared with the ones obtained in the time domain.",
author = "Oleksandr Menshykov and Marina Menshykova",
note = "Acknowledgements The first author is thankful to the German Academic Exchange Service (DAAD) and Advanced Research Collaboration (ARC) Programme (funded by the British Council) for the financial support. The authors are very grateful to Prof. Chuanzeng Zhang and Dr. Michael Wuensche (University of Siegen, Germany) for the valuable suggestions and numerical results provided for the validation,and to Mr. Mark Lawrence (undergraduate MEng student, School of Engineering, University of Aberdeen) for the helpful discussions.",
year = "2012",
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doi = "10.1002/pamm.201210073",
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T1 - Boundary Integral Equations in the Frequency Domain for Interface Cracks under Impact Loading

AU - Menshykov, Oleksandr

AU - Menshykova, Marina

N1 - Acknowledgements The first author is thankful to the German Academic Exchange Service (DAAD) and Advanced Research Collaboration (ARC) Programme (funded by the British Council) for the financial support. The authors are very grateful to Prof. Chuanzeng Zhang and Dr. Michael Wuensche (University of Siegen, Germany) for the valuable suggestions and numerical results provided for the validation,and to Mr. Mark Lawrence (undergraduate MEng student, School of Engineering, University of Aberdeen) for the helpful discussions.

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N2 - In the study interface cracks between two dissimilar homogeneous isotropic half-spaces undergoing impact loading are considered. The problem is solved using the boundary integral equations in the frequency domain. The distributions of the displacements and tractions at the bonding interface and surfaces of the cracks are obtained and analyzed. The stress intensity factors (opening and shear modes) are computed for different load conditions and various properties of the bimaterial. The results are compared with the ones obtained in the time domain.

AB - In the study interface cracks between two dissimilar homogeneous isotropic half-spaces undergoing impact loading are considered. The problem is solved using the boundary integral equations in the frequency domain. The distributions of the displacements and tractions at the bonding interface and surfaces of the cracks are obtained and analyzed. The stress intensity factors (opening and shear modes) are computed for different load conditions and various properties of the bimaterial. The results are compared with the ones obtained in the time domain.

U2 - 10.1002/pamm.201210073

DO - 10.1002/pamm.201210073

M3 - Article

VL - 12

SP - 165

EP - 166

JO - Proceedings in Applied Mathematics and Mechanics (PAMM)

JF - Proceedings in Applied Mathematics and Mechanics (PAMM)

SN - 1617-7061

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