Complex-valued wavenumber, reflection and transmission in an elastic solid containing a cracked slab region

摘要: Propagation of ultrasonic or seismic waves in an elastic solid where slit cracks are randomly distributed is investigated. The distribution has a uniform probability density slab region, the parallel to boundaries slab, and uncracked on either side slab. When antiplane wave normally incident cracks, it shown that average (coherent) motion governed by two coupled integral equations. These equations solved assuming exciting stress near fixed crack equal total stress. Inside multiple scattering occurs, there forward backward motion. velocity attenuation motions be given simple formulae depend frequency density. Simple formulae, which frequency, density, thickness, also obtained for amplitudes outside Plots velocity, attenuation, reflected amplitude, transmitted amplitude vs presented several values thickness. Low high limits these quantities examined analytically numerically.