Blocking of traveling waves and energy localization due to the elastodynamic diffraction by a crack

摘要

The semianalytic methods developed for solving the problems of elastodynamic diffraction by a horizontal strip-like crack are used to analyze the transmission and reflection of Rayleigh waves in a half-plane and normal modes in a layer with the aim to determine the parameters of blocking and study the blocking mechanism. The resonance blocking is shown to be accompanied by energy localization near the crack. For the case of a crack in a half-plane, a possibility of nonresonance blocking is revealed. The transmission and reflection coefficients are analyzed as functions of frequency, crack size, and crack depth. Numerical examples of energy streamline and power distribution structures are given for the resonance and nonresonance blocking, as well as examples of the behavior of stress intensity factors at the crack tips.