Elastodynamic Contact Problems for Interface Cracks under Harmonic Loading

Vita Mikucka; Oleksandr Menshykov; Marina Menshykova

doi:10.1002/pamm.201110074

Elastodynamic Contact Problems for Interface Cracks under Harmonic Loading

Vita Mikucka, Oleksandr Menshykov, Marina Menshykova

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

15 Downloads (Pure)

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 language	English
Pages (from-to)	165–166
Number of pages	2
Journal	Proceedings in Applied Mathematics and Mechanics (PAMM)
Volume	11
Issue number	1
DOIs	https://doi.org/10.1002/pamm.201110074
Publication status	Published - Dec 2011
Event	82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) - Graz University of Technology, Graz, Austria Duration: 18 Apr 2011 → 21 Apr 2011 Conference number: 82 http://www.gamm2011.tugraz.at/

Access to Document

10.1002/pamm.201110074Licence: Unspecified

Elastodynamic contact problems for interface cracks under harmonic loading
Vita Mikucka (Speaker), Oleksandr Menshykov (Contributor) & Marina Menshykova (Contributor)
18 Apr 2011 → 21 Apr 2011
Activity: Disseminating Research › Presentation

Cite this

@article{e13ae5c43a9a44ae8621c8909e32273d,

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 = dec,

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",

note = "82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), GAMM 2011 ; Conference date: 18-04-2011 Through 21-04-2011",

url = "http://www.gamm2011.tugraz.at/",

}

TY - JOUR

T1 - Elastodynamic Contact Problems for Interface Cracks under Harmonic Loading

AU - Mikucka, Vita

AU - Menshykov, Oleksandr

AU - Menshykova, Marina

N1 - Conference code: 82

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

SN - 1617-7061

VL - 11

SP - 165

EP - 166

JO - Proceedings in Applied Mathematics and Mechanics (PAMM)

JF - Proceedings in Applied Mathematics and Mechanics (PAMM)

IS - 1

T2 - 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

Y2 - 18 April 2011 through 21 April 2011

ER -

Elastodynamic Contact Problems for Interface Cracks under Harmonic Loading

Abstract

Access to Document

Fingerprint

Activities

Elastodynamic contact problems for interface cracks under harmonic loading

Cite this