Guided wave field calculation in anisotropic layered structures using normal mode expansion method

Lingfang Li, Hanfei Mei, Mohammad Faisal Haider, Dimitris Rizos, Yong Xia, Victor Giurgiutiu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)


The guided wave technique is commonly used in structural health monitoring as the guided waves can propagate far in the structures without much energy loss. The guided waves are conventionally generated by the surface-mounted piezoelectric wafer active sensor (PWAS). However, there is still lack of understanding of the wave propagation in layered structures, especially in structures made of anisotropic materials such as carbon fiber reinforced polymer (CFRP) composites. In this paper, the Rayleigh-Lamb wave strain tuning curves in a PWAS-mounted unidirectional CFRP plate are analytically derived using the normal mode expansion (NME) method. The excitation frequency spectrum is then multiplied by the tuning curves to calculate the frequency response spectrum. The corresponding time domain responses are obtained through the inverse Fourier transform. The theoretical calculations are validated through finite element analysis and an experimental study. The PWAS responses under the free, debonded and bonded CFRP conditions are investigated and compared. The results demonstrate that the amplitude and travelling time of wave packet can be used to evaluate the CFRP bonding conditions. The method can work on a baseline-free manner.

Original languageEnglish
Pages (from-to)157-174
Number of pages18
JournalSmart Structures and Systems
Issue number2
Publication statusPublished - Aug 2020


  • Anisotropic
  • Debonding
  • Guided waves
  • Layered plate
  • Normal mode expansion
  • Piezoelectric wafer active sensor

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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