Nonlinear aspects of “breathing” crack-disturbed plate waves: 3-D analytical modeling with experimental validation

Kai Wang, Yehai Li, Zhongqing Su, Ruiqi Guan, Ye Lu, Shenfang Yuan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

39 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)140-150
Number of pages11
JournalInternational Journal of Mechanical Sciences
Publication statusPublished - 1 Aug 2019


  • Analytical modeling
  • Contact acoustic nonlinearity
  • Fatigue crack
  • Guided ultrasonic waves
  • “breathing” crack

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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