This research report contains results obtained by the authors in recent years in the research area of dynamic fracture mechanics and wave propagation in damaged solids. It deals with several topics on wave propagation in elastic solids with cracks.

Coverage includes wave scattering problems by a single crack, a periodic array of collinear cracks in isotropic and transversely isotropic elastic solids, interface cracks with a periodic spacing, and randomly distributed micro-cracks.

The authors present a non-hypersingular boundary integral equation method to treat single-crack wave scattering problems, both in time- and frequency-domain. Numerical examples are given to show the accuracy and efficiency of the method.

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From preface:

Wave propagation in elastic solids with cracks is a very broad and attractive research field. The corresponding results of this subject have stimulating and wide-ranging engineering applications, such as in materials science, in-situ safety and reliability control of complex structural components by acoustic emission, quantitative nondestructive materials testing by ultrasonics, dynamic fracture mechanics, seismology and geophysics. For this reason, the present work is by no means exhaustive. It covers only a few pieces of a great deal of relevant subjects mentioned above. The references cited in the work are also not complete and some very important contributions may still be missing in the reference list.

As a tool for solving the boundary-value and the initial boundary-value problems encountered, the boundary integral equation methods are applied in this work. They are shown very well suited and most useful for this purpose.