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

Oleksandr Menshykov, Iryna Mykhailova, Igor Guz

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)4030023-4030024
Number of pages2
JournalProceedings in Applied Mathematics and Mechanics (PAMM)
Volume7
Issue number1
DOIs
Publication statusPublished - Dec 2007
Event6th International Congress on Industrial and Applied Mathematics - Zurich, Switzerland
Duration: 16 Jul 200720 Jul 2007
Conference number: 6
http://iciam.org/event/iciam-2007-%E2%80%93-zurich

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electric contacts
cracks
harmonics
stress intensity factors
allowances
coefficient of friction
integral equations
friction
incidence
interactions

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.",
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AU - Menshykov, Oleksandr

AU - Mykhailova, Iryna

AU - Guz, Igor

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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.

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JO - Proceedings in Applied Mathematics and Mechanics (PAMM)

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