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 α=π/2 with respect to the location (α) of the imperfect interface, (ii) imperfect interfaces located at α=0 and α=π highly reduce the total SCS under a P-wave incidence and imperfect interfaces located at α=π/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 α is small, while it becomes more sensitive to the bonding level when α is larger under SV-wave incidence.
Highlights
A large number of interfaces exist in composite materials and play a very important role in the performance of composite materials, for example, the transmission of the load between the matrix and fibers
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
Results indicate that (i) the total scattering cross section (SCS) is almost symmetric about the axis α = π/2 with respect to the location (α) of the imperfect interface, (ii) imperfect interfaces located at α = 0 and α = π highly reduce the total SCS under a P-wave incidence and imperfect interfaces located at α = π/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 α is small, while it becomes more sensitive to the bonding level when α is larger under SV-wave incidence
Summary
A large number of interfaces exist in composite materials and play a very important role in the performance of composite materials, for example, the transmission of the load between the matrix and fibers. Norris and Yang [11,12,13] investigated the single scattering of antiplane shear and P- and SV-waves by a partially debonded fiber through the expansion of the crack opening displacement (COD) or the stress at the neck in terms of Chebyshev polynomials. It is worthwhile to mention that, in most of the previous studies, the whole interface between each fiber/particulate and the matrix was usually assumed to simultaneously enter the imperfect bonding condition. It is well known that the study of the single scattering is crucial to understanding the overall behavior of elastic waves in composites Towards this end, in this work, the single scattering of P- and SV-waves by a cylindrical fiber with a partially imperfect bonding to the surrounding matrix is studied. The imperfect bonding is characterized by the spring model and a CP method is introduced to solve the corresponding single scattering problem. Analytical solutions for Cn and Dn are difficult to be obtained
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