Abstract
The propagation of antiplane waves in an unbounded linearly elastic solid that contains a distribution of flat cracks is considered. The cracks are parallel to each other, the distribution is dilute, and the incident wave is normal to the planes of the cracks. Using the Kramers–Kronig relations, the speed c of the coherent wave in the cracked solid is derived as a function of the dimensionless frequency ωa/cT (where ω is the angular frequency, a is the half crack width, and cT is the speed of antiplane waves in an uncracked solid) and of crack density. Numerical results for the speed c are obtained, based on the assumption that the limit of c for high frequencies is equal to cT. These results show that the speed of the coherent wave in a cracked solid is always less than the limiting speed at high frequencies. The results of this work are valid for the entire range of frequencies.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
