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A three-dimensional analytical model for interpreting contact acoustic nonlinearity generated by a "breathing" crack
Author(s): Kai Wang; Zhongqing Su; Shenfang Yuan
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Paper 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.

Paper Details

Date Published: 5 April 2017
PDF: 11 pages
Proc. SPIE 10170, Health Monitoring of Structural and Biological Systems 2017, 101701X (5 April 2017); doi: 10.1117/12.2258202
Show Author Affiliations
Kai Wang, The Hong Kong Polytechnic Univ. (Hong Kong, China)
Zhongqing Su, The Hong Kong Polytechnic Univ. (Hong Kong, China)
Shenzhen Research Institute (China)
Shenfang Yuan, Nanjing Univ. of Aeronautics and Astronautics (China)


Published in SPIE Proceedings Vol. 10170:
Health Monitoring of Structural and Biological Systems 2017
Tribikram Kundu, Editor(s)

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