Resonance phenomena of lamb waves scattering by a horizontal crack of finite length

Abstract

The scattering phenomena of the zero-order antisymmetric Lamb wave mode with a horizontal crack of finite length, symmetrically positioned with respect to the median plane of the plate is being solved within the framework of this paper. The identification of the scattering coefficients is carried out with the use of a semi-analytical model incorporating the mode-matching technique. Thanks to explicit expression of the transmission and reflection scattering matrices at the local as well as, global scale, it is possible to analyze the scattering process more comprehensively. Moreover, the results affiliating to the scattered modes with real wavenumbers are confronted with ones obtained using the hybrid model based on the finite element method utilization and the general orthogonality relation. The scattering process is being investigated on three regions characterized by specific crack length intervals for which the study related to the role of non-propagating modes in the energy balance process on present interfaces formed by adjacent waveguide sections is performed.