Plane solutions of interface cracks in anisotropic dissimilar media
Journal
Journal of Engineering Mechanics
Journal Volume
122
Journal Issue
1
Pages
30-38
Date Issued
1996
Author(s)
Abstract
In this study, plane problems for bonded dissimilar half planes of anisotropic material containing an interfacial crack are considered. The problem is solved by application of a generalized Mellin transform in conjunction with the complex stress function. The dependence of the order of the stress singularity on the material constants is studied in detail. For most cases of different material combinations, the imaginary part of the stress singularity is extremely small, which indicates that the oscillatory region is very small compared to other physical dimensions. The full field solutions in the Mellin transform domain are obtained explicitly. The full field solutions for prescribed arbitrary concentrated loadings on crack faces are investigated in detail. The stress fields outside the oscillatory region are studied for dissimilar anisotropic interface crack. The stress distribution calculated from the far field, the near tip field, and the oscillatory field is studied from the numerical investigation. The dependence for the size of the oscillatory region on the oscillatory index is discussed in detail. It is shown that for most cases of the material combinations, the stress fields outside the oscillatory region and along the bonded interface are proportional to 1/r near the crack tip, as those in homogeneous media.
Type
journal article