Attenuation and speed of antiplane waves in a cracked solid using the Kramers–Kronig relations

摘要: The propagation of antiplane waves in an unbounded linearly elastic solid that contains a distribution flat cracks is considered. are parallel to each other, the dilute, and incident wave normal planes cracks. Using Kramers–Kronig relations, speed c coherent cracked derived as function dimensionless frequency ωa/cT (where ω angular frequency, half crack width, cT uncracked solid) density. Numerical results for obtained, based on assumption limit high frequencies equal cT. These show always less than limiting at frequencies. this work valid entire range