Semi-analytical modelling of cracks with interacting faces in isotropic materials under harmonic load

Oleksandr Menshykov; Iryna Mykhailova; Igor Guz

doi:10.1002/pamm.200700779

Semi-analytical modelling of cracks with interacting faces in isotropic materials under harmonic load

Oleksandr Menshykov, Iryna Mykhailova, Igor Guz

Research output: Contribution to journal › Article › peer-review

Abstract

The present work is devoted to the investigation of the contact interaction of the faces of cracks located in the homogeneous, isotropic, linearly elastic 3-D medium under a harmonic loading. The Signorini contact constraints are imposed and the friction is governed by the Coulomb law. The problem is solved by the method of the boundary integral equations with the use of the iterative procedure. The dependence of the stress intensity factors on the friction coefficient and parameters of the incident wave parameters (frequency, angle of incidence, etc.) is studied. Numerical results are compared with those obtained without allowance for the contact interaction.

Original language	English
Pages (from-to)	4030023-4030024
Number of pages	2
Journal	Proceedings in Applied Mathematics and Mechanics (PAMM)
Volume	7
Issue number	1
DOIs	https://doi.org/10.1002/pamm.200700779
Publication status	Published - Dec 2007
Event	6th International Congress on Industrial and Applied Mathematics - Zurich, Switzerland Duration: 16 Jul 2007 → 20 Jul 2007 Conference number: 6 http://iciam.org/event/iciam-2007-%E2%80%93-zurich

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10.1002/pamm.200700779Licence: Unspecified

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Semi-analytical modelling of cracks with interacting faces in isotropic materials under harmonic load
Oleksandr Menshykov (Speaker), Iryna Mykhailova (Contributor) & Igor Guz (Contributor)
16 Jul 2007 → 20 Jul 2007
Activity: Disseminating Research › Presentation
6th International Congress on Industrial and Applied Mathematics
Oleksandr Menshykov (Speaker)
15 Jul 2007 → 20 Jul 2007
Activity: Attending or organising an event › Attending/organising a Conference

Cite this

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title = "Semi-analytical modelling of cracks with interacting faces in isotropic materials under harmonic load",

abstract = "The present work is devoted to the investigation of the contact interaction of the faces of cracks located in the homogeneous, isotropic, linearly elastic 3-D medium under a harmonic loading. The Signorini contact constraints are imposed and the friction is governed by the Coulomb law. The problem is solved by the method of the boundary integral equations with the use of the iterative procedure. The dependence of the stress intensity factors on the friction coefficient and parameters of the incident wave parameters (frequency, angle of incidence, etc.) is studied. Numerical results are compared with those obtained without allowance for the contact interaction.",

author = "Oleksandr Menshykov and Iryna Mykhailova and Igor Guz",

year = "2007",

month = dec,

doi = "10.1002/pamm.200700779",

language = "English",

volume = "7",

pages = "4030023--4030024",

journal = "Proceedings in Applied Mathematics and Mechanics (PAMM)",

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number = "1",

note = "6th International Congress on Industrial and Applied Mathematics, ICIAM 07 ; Conference date: 16-07-2007 Through 20-07-2007",

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T1 - Semi-analytical modelling of cracks with interacting faces in isotropic materials under harmonic load

AU - Menshykov, Oleksandr

AU - Mykhailova, Iryna

AU - Guz, Igor

N1 - Conference code: 6

PY - 2007/12

Y1 - 2007/12

N2 - The present work is devoted to the investigation of the contact interaction of the faces of cracks located in the homogeneous, isotropic, linearly elastic 3-D medium under a harmonic loading. The Signorini contact constraints are imposed and the friction is governed by the Coulomb law. The problem is solved by the method of the boundary integral equations with the use of the iterative procedure. The dependence of the stress intensity factors on the friction coefficient and parameters of the incident wave parameters (frequency, angle of incidence, etc.) is studied. Numerical results are compared with those obtained without allowance for the contact interaction.

AB - The present work is devoted to the investigation of the contact interaction of the faces of cracks located in the homogeneous, isotropic, linearly elastic 3-D medium under a harmonic loading. The Signorini contact constraints are imposed and the friction is governed by the Coulomb law. The problem is solved by the method of the boundary integral equations with the use of the iterative procedure. The dependence of the stress intensity factors on the friction coefficient and parameters of the incident wave parameters (frequency, angle of incidence, etc.) is studied. Numerical results are compared with those obtained without allowance for the contact interaction.

U2 - 10.1002/pamm.200700779

DO - 10.1002/pamm.200700779

M3 - Article

VL - 7

SP - 4030023

EP - 4030024

JO - Proceedings in Applied Mathematics and Mechanics (PAMM)

JF - Proceedings in Applied Mathematics and Mechanics (PAMM)

SN - 1617-7061

IS - 1

T2 - 6th International Congress on Industrial and Applied Mathematics

Y2 - 16 July 2007 through 20 July 2007

ER -

Semi-analytical modelling of cracks with interacting faces in isotropic materials under harmonic load

Abstract

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Semi-analytical modelling of cracks with interacting faces in isotropic materials under harmonic load

6th International Congress on Industrial and Applied Mathematics

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