Abstract
The periodicity violation due to single or distributed cracks may change the wave reflection and transmission properties of periodically layered composites or one-dimensional phononic crystals . Numerical models for in-plane wave motion in layered phononic crystals with strip-like cracks are developed and the related wave propagation phenomena are investigated. For a prescribed incident wave field, the transfer matrix method is applied to calculate the reflected and the transmitted wave fields and to estimate the elastic wave band-gaps. The cracks are dealt with by using the integral approach, which represents the scattered wave field by a boundary integral containing the convolution of the Fourier-transform of the Green’s matrix of the corresponding layered structures and the crack-opening displacements. These unknown displacement jumps are calculated by applying the Bubnov-Galerkin scheme in conjunction with the boundary integral equation method . The typical wave characteristics describing the wave propagation phenomena related to the elastic wave scattering by cracks are analysed. Resonance wave scattering by interior or interface strip-like cracks (delaminations) is investigated, and the corresponding streamlines of the wave energy flow are demonstrated and discussed. Wave localization and focusing by cracks is also analysed and discussed.
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