Interface crack;
Dissimilar isotropic elastic materials;
Singular integral equations;
Riemann–Hilbert boundary problem;
Surface effect;
Energy release rates;
74G70;
74G05;
D O I:
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摘要:
An interface crack between dissimilar elastic thin-films with surface effect has been investigated. By using integral transform technique the mixed boundary value problem of an interface crack is reduced to singular integral equations, which can be further reduced to a Riemann–Hilbert problem with analytical solution. The crack-tip singularities of the interface crack have been studied for possible combination of the dissimilar isotropic elastic materials with surface effect, and it is shown that there can be either oscillatory or non-oscillatory singularity for the interface crack. Analytical solution of the normal and shear stresses on the bonded interface is obtained, the relative crack opening displacement (COD) and relative crack sliding displacement (CSD) were given, and energy release rates (ERRs) for the interface crack are obtained for both oscillatory and non-oscillatory singularity cases. The oscillatory and non-oscillatory singularity parameters for interface cracks between dissimilar isotropic elastic materials with surface effect have been obtained.