Study on the Single Scattering of Elastic Waves by a Cylindrical Fiber with a Partially Imperfect Bonding Using the Collocation Point Method

Abstract

The single scattering of P-and SV-waves by a cylindrical fiber with a partially imperfect bonding to the surrounding matrix is investigated, which benefits the characterization of the behavior of elastic waves in composite materials. The imperfect interface is modelled by the spring model. To solve the corresponding single scattering problem, a collocation point (CP) method is introduced. Based on this method, influence of various aspects of the imperfect interface on the scattering of P-and SV-waves is studied. Results indicate that (i) the total scattering cross section (SCS) is almost symmetric about the axis = /2 with respect to the location ( ) of the imperfect interface, (ii) imperfect interfaces located at = 0 and = highly reduce the total SCS under a P-wave incidence and imperfect interfaces located at = /2 reduce the total SCS most significantly under SV-incidence, and (iii) under a P-wave incidence the SCS has a high sensitivity to the bonding level of imperfect interfaces when is small, while it becomes more sensitive to the bonding level when is larger under SV-wave incidence.

Computational Study of Scattering Elastic Waves Due to a Teredo Marine Borer-Like Cylindrical Defect Embedded in an Isotropic Solid Cylinder

“…Early work such as [8,9] investigated hollow cylinders embedded in a solid infinite isotropic medium as a scatterer and laid the formulation of plane waves scattering for compressional/longitudinal (P) and shear (S) waves experiencing mode conversion, while Lewis et al [10] generalised the formulations for a solid cylindrical scatterer. Furthermore, in composites [11] studied scattering for single modes by a cylindrical fibre and [12] developed a theoretical framework to study multiferroic composites that consist of randomly distributed fibres. Stress wave propagation in anisotropic wood formulations was investigated by [13].…”