A three-dimensional analytical model for interpreting contact acoustic nonlinearity generated by a breathing crack

Kai Wang, Zhongqing Su, Shenfang Yuan

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review


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.
Original languageEnglish
Title of host publicationHealth Monitoring of Structural and Biological Systems 2017
ISBN (Electronic)9781510608252
Publication statusPublished - 1 Jan 2017
EventHealth Monitoring of Structural and Biological Systems 2017 - Portland, United States
Duration: 26 Mar 201729 Mar 2017


ConferenceHealth Monitoring of Structural and Biological Systems 2017
Country/TerritoryUnited States


  • Analytical model
  • Breathing" crack
  • Contact acoustic nonlinearity
  • Guided ultrasonic waves

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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