Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (3): 357-370.doi: https://doi.org/10.1007/s10483-012-1555-9

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Fracture analysis of mode-II crack perpendicular to imperfect bimaterial interface

钟献词1,2 张克实2   

  1. 1. College of Mathematics and Information Science, Guangxi University, Nanning 530004, P. R. China;
    2. Key Laboratory of Disaster Prevention and Structural Safety, Guangxi University, Nanning 530004, P. R. China
  • 收稿日期:2010-09-06 修回日期:2012-01-04 出版日期:2012-03-02 发布日期:2012-03-01

Fracture analysis of mode-II crack perpendicular to imperfect bimaterial interface

 ZHONG Xian-Ci1,2, ZHANG Ke-Shi2   

  1. 1. College of Mathematics and Information Science, Guangxi University, Nanning 530004, P. R. China;
    2. Key Laboratory of Disaster Prevention and Structural Safety, Guangxi University, Nanning 530004, P. R. China
  • Received:2010-09-06 Revised:2012-01-04 Online:2012-03-02 Published:2012-03-01

摘要: The problem of a mode-II crack close to and perpendicular to an imperfect interface of two bonded dissimilar materials is investigated. The imperfect interface is modelled by a linear spring with the vanishing thickness. The Fourier transform is used to solve the boundary-value problem and to derive a singular integral equation with the Cauchy kernel. The stress intensity factors near the left and right crack tips are evaluated by numerically solving the resulting equation. Several special cases of the mode-II crack problem with an imperfect interface are studied in detail. The effects of the interfacial imperfection on the stress intensity factors for a bimaterial system of aluminum and steel are shown graphically. The obtained observation reveals that the stress intensity factors are dependent on the interface parameters and vary between those with a fully debonded interface and those with a perfect interface.

Abstract: The problem of a mode-II crack close to and perpendicular to an imperfect interface of two bonded dissimilar materials is investigated. The imperfect interface is modelled by a linear spring with the vanishing thickness. The Fourier transform is used to solve the boundary-value problem and to derive a singular integral equation with the Cauchy kernel. The stress intensity factors near the left and right crack tips are evaluated by numerically solving the resulting equation. Several special cases of the mode-II crack problem with an imperfect interface are studied in detail. The effects of the interfacial imperfection on the stress intensity factors for a bimaterial system of aluminum and steel are shown graphically. The obtained observation reveals that the stress intensity factors are dependent on the interface parameters and vary between those with a fully debonded interface and those with a perfect interface.

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