Fracture Analysis of a Mode-ⅡCrack Perpendicular to an Imperfect Bimaterial Interface

ZHONG Xian-ci; ZHANG Ke-shi

doi:10.3879/j.issn.1000-0887.2012.03.007

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ZHONG Xian-ci, ZHANG Ke-shi. Fracture Analysis of a Mode-ⅡCrack Perpendicular to an Imperfect Bimaterial Interface[J]. Applied Mathematics and Mechanics, 2012, 33(3): 342-352. doi: 10.3879/j.issn.1000-0887.2012.03.007

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Fracture Analysis of a Mode-ⅡCrack Perpendicular to an Imperfect Bimaterial Interface

doi: 10.3879/j.issn.1000-0887.2012.03.007

ZHONG Xian-ci^{1,2
,},
ZHANG Ke-shi²

¹College of Mathematics and Information Science, Guangxi University,Nanning 530004, P.R.China;²Key Laboratory of Disaster Prevention and Structural Safety, Guangxi University, Nanning 530004, P.R.China

Received Date: 2010-09-06
Rev Recd Date: 2012-01-04
Publish Date: 2012-03-15

Abstract

Abstract

The problem of a mode-II crack close to and perpendicular to an imperfect interface of two bonded dissimilar materials was investigated. The imperfect interface was modelled by a linear spring with vanishing thickness. The Fourier transform was applied to solve the boundaryvalue problem, then to derive a singular integral equation with Cauchy kernel. The stress intensity factors near the left and right crack tips were evaluated by numerically solving the resulted equation. Several special cases of the mode-II crack problem with an imperfect interface were studied in detail. The effects of the interfacial imperfection on the stress intensity factors for a bimaterial system of aluminum and steel were shown graphically. The obtained observations reveal that the stress intensity factors are dependent on the interface parameters, and varying between those with a fully debonded interface and those with a perfect interface.
- imperfect interface,
- mode-Ⅱcrack,
- spring model,
- Fourier transform,
- stress intensity factor

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References(32)

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