Boundary Integral Equations in Elastodynamics of Interface Cracks

Oleksandr Menshykov; Igor Guz; Marina Menshykova

Boundary Integral Equations in Elastodynamics of Interface Cracks

Oleksandr Menshykov, Igor Guz, Marina Menshykova

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

Abstract

The study is devoted to the problem for an interface crack located between two dissimilar elastic half-spaces under harmonic external loading. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The distributions of the displacements and tractions at the bonding interface and the surface of the crack are analysed for the normally incident tension-compression wave taking the contact interaction of the opposite crack’s faces into account. The dynamic stress intensity factors are computed as functions of the frequency of the incident wave. The results are compared with those obtained neglecting the contact interaction.

Original language	English
Title of host publication	Proceedings of the 7th UK conference on Boundary Integral Methods
Editors	H. Power, A. La Rocca, S.J. Baxter
Place of Publication	Nottingham, UK
Publisher	Nottingham University Press
Pages	29-35
Number of pages	7
ISBN (Print)	978-0-9563221-0-4
Publication status	Published - Jul 2009
Event	Seventh UK Conference on Boundary Integral Methods - University of Nottingham, Nottingham, United Kingdom Duration: 30 Jul 2009 → 31 Jul 2009 Conference number: 7 http://www.nottingham.ac.uk/schoolm3/general/boundary.php

Conference

Conference	Seventh UK Conference on Boundary Integral Methods
Abbreviated title	UKBIM7
Country/Territory	United Kingdom
City	Nottingham
Period	30/07/09 → 31/07/09
Internet address	http://www.nottingham.ac.uk/schoolm3/general/boundary.php

1 Attending/organising a Conference
1 Presentation

Seventh UK Conference on Boundary Integral Methods
Oleksandr Menshykov (Speaker)
30 Jul 2009 → 31 Jul 2009
Activity: Attending or organising an event › Attending/organising a Conference
Boundary integral equations in elastodynamics of interface cracks
Oleksandr Menshykov (Speaker), Igor Guz (Contributor) & Marina Menshykova (Contributor)
30 Jul 2009 → 31 Jul 2009
Activity: Disseminating Research › Presentation

Cite this

Boundary Integral Equations in Elastodynamics of Interface Cracks. / Menshykov, Oleksandr; Guz, Igor; Menshykova, Marina.

Proceedings of the 7th UK conference on Boundary Integral Methods. ed. / H. Power; A. La Rocca; S.J. Baxter. Nottingham, UK : Nottingham University Press, 2009. p. 29-35.

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

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title = "Boundary Integral Equations in Elastodynamics of Interface Cracks",

abstract = "The study is devoted to the problem for an interface crack located between two dissimilar elastic half-spaces under harmonic external loading. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The distributions of the displacements and tractions at the bonding interface and the surface of the crack are analysed for the normally incident tension-compression wave taking the contact interaction of the opposite crack{\textquoteright}s faces into account. The dynamic stress intensity factors are computed as functions of the frequency of the incident wave. The results are compared with those obtained neglecting the contact interaction.",

author = "Oleksandr Menshykov and Igor Guz and Marina Menshykova",

year = "2009",

month = jul,

language = "English",

isbn = "978-0-9563221-0-4",

pages = "29--35",

editor = "H. Power and {La Rocca}, A. and S.J. Baxter",

booktitle = "Proceedings of the 7th UK conference on Boundary Integral Methods",

publisher = "Nottingham University Press",

note = "Seventh UK Conference on Boundary Integral Methods, UKBIM7 ; Conference date: 30-07-2009 Through 31-07-2009",

url = "http://www.nottingham.ac.uk/schoolm3/general/boundary.php",

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T1 - Boundary Integral Equations in Elastodynamics of Interface Cracks

AU - Menshykov, Oleksandr

AU - Guz, Igor

AU - Menshykova, Marina

N1 - Conference code: 7

PY - 2009/7

Y1 - 2009/7

N2 - The study is devoted to the problem for an interface crack located between two dissimilar elastic half-spaces under harmonic external loading. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The distributions of the displacements and tractions at the bonding interface and the surface of the crack are analysed for the normally incident tension-compression wave taking the contact interaction of the opposite crack’s faces into account. The dynamic stress intensity factors are computed as functions of the frequency of the incident wave. The results are compared with those obtained neglecting the contact interaction.

AB - The study is devoted to the problem for an interface crack located between two dissimilar elastic half-spaces under harmonic external loading. The system of boundary integral equations for displacements and tractions is derived from the dynamic Somigliana identity. The distributions of the displacements and tractions at the bonding interface and the surface of the crack are analysed for the normally incident tension-compression wave taking the contact interaction of the opposite crack’s faces into account. The dynamic stress intensity factors are computed as functions of the frequency of the incident wave. The results are compared with those obtained neglecting the contact interaction.

M3 - Published conference contribution

SN - 978-0-9563221-0-4

SP - 29

EP - 35

BT - Proceedings of the 7th UK conference on Boundary Integral Methods

A2 - Power, H.

A2 - La Rocca, A.

A2 - Baxter, S.J.

PB - Nottingham University Press

CY - Nottingham, UK

T2 - Seventh UK Conference on Boundary Integral Methods

Y2 - 30 July 2009 through 31 July 2009

ER -

Boundary Integral Equations in Elastodynamics of Interface Cracks

Abstract

Conference

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Seventh UK Conference on Boundary Integral Methods

Boundary integral equations in elastodynamics of interface cracks

Cite this