A Griffith crack model in a generalized nonhomogeneous interlayer of bonded dissimilar half-planes

The Griffith crack problem in bonded dissimilar half-planes is examined. To eliminate the unrealistic oscillatory stress near the interface crack tips, the interfacial transition zone is modeled by a very thin nonhomogeneous interlayer whose elastic properties vary continuously between the bonded materials and adhesive material. The interlayer thickness is assumed to be the sum of the maximum heights of asperities at the two bonded material surfaces. The crack problem is reduced to a set of Cauchy integral equations which can be solved numerically. The applicability of the generalized nonhomogeneous interlayer model is investigated by comparing it with the classical interface crack model.