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Shock and Vibration
Volume 2018, Article ID 7516402, 14 pages
Research Article

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

1College of Aerospace Engineering, Chongqing University, Chongqing 400044, China
2Chongqing Key Laboratory of Heterogeneous Material Mechanics, Chongqing University, Chongqing 400044, China
3State Key Laboratory of Silicate Materials for Architecture, Wuhan University of Technology, Wuhan 430070, China
4Institute of Microstructure Technology (IMT), Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany

Correspondence should be addressed to Jun Zhang; nc.ude.uqc@gnahzjem and Chuanlin Hu; nc.ude.tuhw@nilnauhc

Received 9 January 2018; Revised 17 February 2018; Accepted 8 March 2018; Published 23 April 2018

Academic Editor: Nerio Tullini

Copyright © 2018 Jun Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 with respect to the location () of the imperfect interface, (ii) imperfect interfaces located at and highly reduce the total SCS under a P-wave incidence and imperfect interfaces located at 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.