Abstract
In this paper, the plane problems of a single edge crack in two bonded elastic layers and in an elastic surface layer bonded to an elastic semi-infinite plane are analyzed by the body force method. The stress fields induced by a point force and a displacement discontinuity in two bonded elastic half-planes obtained by Hetenyi's solution, in other words, Green's function in closed forms, are used as fundamental solutions to solve those problems. The boundary conditions for stress free-edges of the layers and the crack surface are satisfied by superposing the distributed fundamental solutions and adjusting their densities. The stress intensity factors are systematically calculated for the various geometrical conditions and the various stiffness ratios of the layers.
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Noda, N.A., Araki, K. & Erdogan, F. Stress intensity factors in two bonded elastic layers with a single edge crack under various loading conditions. Int J Fract 57, 101–126 (1992). https://doi.org/10.1007/BF00035714
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DOI: https://doi.org/10.1007/BF00035714