For a random and uniform distribution of (viscous) fluid-filled strip-like cracks with varying width and orientation, the effective wavenumber K of an antiplane coherent wave is calculated basing on Foldy's approximation. Applications to randomly oriented or inclined cracks with width obeying a power law distribution are exemplified. Dependence of the attenuation coefficient 1/Q and of the wave speed c on the fluid viscosity and on the distribution of the crack width and orientation is studied. Analytical expressions for 1/Q and c are given in the low- and high-frequency domains.
|Translated title of the contribution||Coherent wave propagation in solids containing various systems of frictional shear cracks|
|Pages (from-to)||551 - 568|
|Number of pages||17|
|Journal||Waves in Random and Complex Media|
|Publication status||Published - 2010|