The purpose of this study is to model the propagation of antiplane coherent waves in solids containing randomly and uniformly distributed flat or open cracks. The cracks are randomly-oriented or tilted with respect to the coherent wave front. The crack surface is stress-free or undergoes viscous friction. The complex mechanism of multiple scattering between cracks is taken into account. A first study is concerned with the acoustic response of a damaged layer subjected to a normally incident antiplane wave. The amplitudes of the coherent waves inside and outside the layer are evaluated in closed form. It is shown that the layer behaves macroscopically as a dissipative homogeneous medium with appropriate effective acoustic and mechanical properties. Specifically, the associated effective mass density and shear stiffness are defined. The cases of spatially-varying distributions of cracks and Love waves in a near-surface distribution of cracks are then treated. A last application is concerned with populations of frictional shear cracks of variable widths present in the Earth's crust.
|Translated title of the contribution||Multiple Scattering, Coherent Wave Propagation: Modelling the Propagation of Antiplane Elastic Waves in Multi-Cracked Media|
|Publisher||Editions Universitaires Européennes|
|Number of pages||232|
|Publication status||Published - 2010|