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Title: Nonlinear aspects of “breathing” crack-disturbed plate waves : 3-D analytical modeling with experimental validation
Authors: Wang, K 
Li, Y 
Su, Z 
Guan, R
Lu, Y
Yuan, S
Issue Date: Aug-2019
Source: International journal of mechanical sciences, Aug. 2019, v. 159, p.140-150
Abstract: Previously, a two-dimensional (2-D)analytical model for interpreting the modulation mechanism of a “breathing” crack on guided ultrasonic waves (GUWs)is developed [1]. Based on the theory of wave propagation in three-dimensional (3-D)waveguides and using an elastodynamic analysis, the 2-D model is extended to a 3-D regime, to shed light on the nonlinear aspects of GUWs disturbed by cracks with “breathing” traits. With the model, generation of contact acoustic nonlinearity (CAN)embodied in GUWs, subjected to the key parameters of a “breathing” crack (e.g., crack length), is scrutinized quantitatively. On this basis, a nonlinearity index is defined to link crack parameters to the quantity of extracted CAN. In virtue of the index, initiation of an undersized fatigue crack in a 3-D waveguide can be delineated at its embryonic stage, and, in particular, the crack severity can be quantitatively depicted. This facilitates prognosis of imminent failure of the monitored structure. Experimental validation is performed in which a hairline fatigue crack is evaluated, and the results well corroborate the crack parameters predicted by the 3-D analytical model.
Keywords: Analytical modeling
Contact acoustic nonlinearity
Fatigue crack
Guided ultrasonic waves
“breathing” crack
Publisher: Pergamon Press
Journal: International journal of mechanical sciences 
ISSN: 0020-7403
EISSN: 1879-2162
DOI: 10.1016/j.ijmecsci.2019.05.036
Rights: © 2019 Elsevier Ltd. All rights reserved.
© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
The following publication Wang, K., Li, Y., Su, Z., Guan, R., Lu, Y., & Yuan, S. (2019). Nonlinear aspects of “breathing” crack-disturbed plate waves: 3-D analytical modeling with experimental validation. International Journal of Mechanical Sciences, 159, 140-150 is available at
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