Author(s)

K.B. Ustinov, A.V. Dyskin & L.N. Germanovich

Abstract

Asymptotic analysis of extensive crack growth parallel to free boundary K.B. Ustinov," A.V. Dyskin,* L.N. Germanovich* " Department of Civil Engineering, The University of Western Australia, W.A., Australia 6009 * The University of Oklahoma, Oklahoma, USA ABSTRACT Asymptotic techniques are introduced for modelling interaction between a crack and a parallel free boundary. For long cracks, the part of the material between the crack and the boundary is represented as a beam (plate). The area of the crack opening is calculated directly. The stress intensity factors are calculated by matching the beam calculations with Zlatin and Khrapkov's solution for a semi-infinite crack parallel to the boundary. This allows the calculation of two main asymptotic terms. Small cracks are treated as being subjected to the external load and an additional one reflected from the boundary. The additional load is assumed to be uniform over the crack size. For intermediate distances betw

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