Abstract
We solve the problem of the diffraction of an elastic SH-wave on an interface crack that was formed on the boundary of the perfectly rigid joint of a plate with a half-space. Semiinfinite and finite cracks are considered. We obtain a solution of the diffraction problem for a semiinfinite crack in the analytic form by using the Wiener–Hopf technique. In the case of a finite crack, the problem is reduced to the solution of an infinite system of linear algebraic equations. We investigate the coefficients of wave transformation at the tip of a semiinfinite interface crack. In the case of a finite crack, we obtain the eigenvalues of the operator of the diffraction problem, which determine the complex resonance frequencies of the dynamical system. We also present the dependence of eigenfrequencies and natural vibrations on the structure parameters.
Published Version
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.
