Abstract

AbstractDynamic stress intensification due to the penny‐shaped crack in a three‐component elastic solid consisting of two dissimilar half‐spaces and intermediate layer is analyzed. Twisting time‐harmonic loading is applied to the opposite surfaces of the crack, which can be located in any component of the composite and has parallel orientation to its interfaces. Corresponding frequency‐domain problem is solved by an improved boundary integral equation method, where identical satisfaction of perfect contact conditions at two presented interfaces is provided. Then, application of the dynamic loading condition on the crack‐surfaces results in two uncoupled boundary integral equations relative to the tangential crack‐opening‐displacements. These quantities are defined by the collocation technique. Numerical examples concern the effects of the dimensionless wave number, the material mismatch, and the crack‐interfaces distance on the mode‐III dynamic stress intensity factor in the crack vicinity.

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