Elastodynamic Contact Problems for Interface Cracks under Harmonic Loading

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Abstract

2-D fracture dynamics' problems for elastic bimaterials with cracks located at the bonding interface under the oblique time harmonic wave are considered in the study. The system of boundary integral equations for displacements and tractions is derived from Somigliana identity taking the contact interaction of the opposite crack faces into account. For the numerical solution the collocation method with piecewise constant approximation is used. The numerical results are obtained for various values of the angle of the wave incidence and the wave frequency taking the friction effects into account.
Original languageEnglish
Pages (from-to)165–166
Number of pages2
JournalProceedings in Applied Mathematics and Mechanics (PAMM)
Volume11
Issue number1
DOIs
Publication statusPublished - Dec 2011
Event82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) - Graz University of Technology, Graz, Austria
Duration: 18 Apr 201121 Apr 2011
Conference number: 82
http://www.gamm2011.tugraz.at/

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elastodynamics
cracks
harmonics
collocation
traction
integral equations
electric contacts
friction
incidence
approximation
interactions

Cite this

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title = "Elastodynamic Contact Problems for Interface Cracks under Harmonic Loading",
abstract = "2-D fracture dynamics' problems for elastic bimaterials with cracks located at the bonding interface under the oblique time harmonic wave are considered in the study. The system of boundary integral equations for displacements and tractions is derived from Somigliana identity taking the contact interaction of the opposite crack faces into account. For the numerical solution the collocation method with piecewise constant approximation is used. The numerical results are obtained for various values of the angle of the wave incidence and the wave frequency taking the friction effects into account.",
author = "Vita Mikucka and Oleksandr Menshykov and Marina Menshykova",
year = "2011",
month = "12",
doi = "10.1002/pamm.201110074",
language = "English",
volume = "11",
pages = "165–166",
journal = "Proceedings in Applied Mathematics and Mechanics (PAMM)",
issn = "1617-7061",
number = "1",

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T1 - Elastodynamic Contact Problems for Interface Cracks under Harmonic Loading

AU - Mikucka, Vita

AU - Menshykov, Oleksandr

AU - Menshykova, Marina

PY - 2011/12

Y1 - 2011/12

N2 - 2-D fracture dynamics' problems for elastic bimaterials with cracks located at the bonding interface under the oblique time harmonic wave are considered in the study. The system of boundary integral equations for displacements and tractions is derived from Somigliana identity taking the contact interaction of the opposite crack faces into account. For the numerical solution the collocation method with piecewise constant approximation is used. The numerical results are obtained for various values of the angle of the wave incidence and the wave frequency taking the friction effects into account.

AB - 2-D fracture dynamics' problems for elastic bimaterials with cracks located at the bonding interface under the oblique time harmonic wave are considered in the study. The system of boundary integral equations for displacements and tractions is derived from Somigliana identity taking the contact interaction of the opposite crack faces into account. For the numerical solution the collocation method with piecewise constant approximation is used. The numerical results are obtained for various values of the angle of the wave incidence and the wave frequency taking the friction effects into account.

U2 - 10.1002/pamm.201110074

DO - 10.1002/pamm.201110074

M3 - Article

VL - 11

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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ER -