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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 5023127, 7 pages
Research Article

Ultrasonic Nonlinearity Evaluation of the Cracked Interface

1School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China
2State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
3Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China
4College of Aerospace Engineering, Chongqing University, Chongqing 400044, China

Received 14 December 2015; Revised 5 May 2016; Accepted 15 May 2016

Academic Editor: Roman Lewandowski

Copyright © 2016 Yanjun Qiu 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.


This paper derives a novel analytical solution for acoustic nonlinearity evaluation of the cracked interface. When microcracks exist at the interface, the tensile and compressive effective moduli of the cracked interface are considered to be different. It is clearly shown that the tension and compression elastic asymmetry can result in acoustic nonlinearity. In addition, numerical simulations using the finite element method are conducted to validate the theoretical solution. It is shown that numerical results agree well with the analytical solution. Finally, two factors affecting acoustic nonlinearity are studied based on the analytical solution. One is the tension and compression elastic asymmetry and another is the frequency of incident wave. Different from acoustic nonlinearity parameter of the general second harmonics, it is found that acoustic nonlinearity parameter is a function of two factors.