Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/67413
Title: A three-dimensional analytical model for interpreting contact acoustic nonlinearity generated by a breathing crack
Authors: Wang, K 
Su, ZQ 
Yuan, SF
Keywords: Analytical model
Breathing" crack
Contact acoustic nonlinearity
Guided ultrasonic waves
Issue Date: 2017
Publisher: SPIE-International Society for Optical Engineering
Source: Proceedings of SPIE : the International Society for Optical Engineering, 2017, v. 10170, 101701X How to cite?
Journal: Proceedings of SPIE : the International Society for Optical Engineering 
Abstract: Extending a two-dimensional analytical framework previously developed for understanding contact acoustic nonlinearity (CAN) in a beam-like structure bearing a contact crack[1], this study reports an analytical model for interpreting CAN induced due to the modulation from a "breathing" crack in a plate-like structure on propagating guided ultrasonic waves (GUWs) in a three-dimensional (3-D) scenario. The "breathing" crack is considered, in a 3-D manner, as a second source to excite additional wave fields. Thorough investigation of the interaction between the probing GUWs and the "breathing" crack leads to explicit, analytical and full-field description of additional wave fields. In this study, influences of reflected and diffracted waves by the crack on the motion of crack surfaces are scrutinized, yielding a depiction of the "breathing" behavior of the crack, beneficial for quantifying the crack-induced source at double frequency, with which the crack-induced nonlinearity (i.e. second harmonic) can be evaluated quantitatively, in conjunction with the use of an elasto-dynamic method. A nonlinearity index is consequently defined to represent the severity of the "breathing" crack. Results obtained from the 3-D model are compared with those from a finite element simulation, to affirm good agreement. This model does not request a benchmarking process against baseline signals for evaluation of damage.
Description: Proceedings of SPIE Conference on Health Monitoring of Structural and Biological Systems XI, 2017, Portland, Oregon, United States, March 25, 2017
URI: http://hdl.handle.net/10397/67413
ISBN: 9781510608252
ISSN: 0277-786X
EISSN: 1996-756X
DOI: 10.1117/12.2258202
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