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

Oleksandr Menshykov; Marina Menshykova

doi:10.1002/pamm.201210073

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

Oleksandr Menshykov, Marina Menshykova

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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 language	English
Pages (from-to)	165–166
Number of pages	2
Journal	Proceedings in Applied Mathematics and Mechanics (PAMM)
Volume	12
Issue number	1
DOIs	https://doi.org/10.1002/pamm.201210073
Publication status	Published - Dec 2012
Event	83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) - TU Darmstadt, Darmstadt, Germany Duration: 26 Mar 2012 → 30 Mar 2012 Conference number: 83 http://www.gamm2012.tu-darmstadt.de

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83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Oleksandr Menshykov (Speaker)
26 Mar 2012 → 30 Mar 2012
Activity: Attending or organising an event › Attending/organising a Conference
Boundary integral equations in the frequency domain for interface cracks under impact loading
Oleksandr Menshykov (Speaker) & Marina Menshykova (Contributor)
26 Mar 2012 → 30 Mar 2012
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 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.; 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), GAMM 2012 ; Conference date: 26-03-2012 Through 30-03-2012",

year = "2012",

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doi = "10.1002/pamm.201210073",

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AU - Menshykov, Oleksandr

AU - Menshykova, Marina

N1 - Conference code: 83

PY - 2012/12

Y1 - 2012/12

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

IS - 1

T2 - 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

Y2 - 26 March 2012 through 30 March 2012

ER -

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

Abstract

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83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

Boundary integral equations in the frequency domain for interface cracks under impact loading

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