Analytical modeling of contact acoustic nonlinearity of guided waves and its application to evaluating severity of fatigue damage

Kai Wang, Zhongqing Su

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

5 Citations (Scopus)


Targeting quantitative estimate of fatigue damage, a dedicated analytical model was developed based on the modal decomposition method and the variational principle. The model well interprets the contact acoustic nonlinearity induced by a "breathing" crack in a two-dimensional scenario, and the nonlinear characteristics of guided ultrasonic waves (GUWs) (e.g., reflection, transmission, mode conversion and high-order generation) when GUWs traversing the crack. Based on the model, a second-order reflection index was defined. Using the index, a fatigue damage evaluation framework was established, showing demonstrated capacity of estimating the severity of fatigue damage in a quantitative manner. The approach, in principle, does not entail a benchmarking process against baseline signals pre-acquired from pristine counterparts. The results obtained using the analytical modeling were compared with those from finite element simulation, showing good coincidence. Limitations of the model were also discussed.
Original languageEnglish
Title of host publicationHealth Monitoring of Structural and Biological Systems 2016
ISBN (Electronic)9781510600461
Publication statusPublished - 1 Jan 2016
EventHealth Monitoring of Structural and Biological Systems 2016 - Las Vegas, United States
Duration: 21 Mar 201624 Mar 2016


ConferenceHealth Monitoring of Structural and Biological Systems 2016
Country/TerritoryUnited States
CityLas Vegas


  • "breathing" crack
  • analytical model
  • 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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