Abstract
Using the method of complex analysis and by constructing conformal mapping, the study investigated the antiplane shearing problem of circular holes with 2k periodic cracks in one-dimensional hexagonal quasicrystals. Wherefrom we simulated the problem of antiplane shearing in circular holes of cross-cracks, single-cracks, symmetrical double-cracks, symmetrical four-cracks, as well as periodic straight cracks, and provided an analytic solution to the crack tip stress intensity factor (SIF).
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