Dispersion of elastic guided waves in piezoelectric infinite plates with inversion layers

Daniel Humbe Cortes Correales, Subhendu K. Datta, Osama M. Mukdadi

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this work, we study the dispersion of elastic waves in piezoelectric infinite plates with ferroelectric inversion layers. The motivation is to analyze the effect of ferroelectric inversion layers on wave dispersion and resonant behavior under impulsive line loads. A semi-analytical finite-element (SAFE) method has been adopted to analyze the problem. Two model problems are considered for analysis. In one, the plate is composed of a layer of 36° rotated y-cut LiNbO3 with a ferroelectric inversion layer. In the other, material is PZT-4 with a ferroelectric inversion layer. Comparison with experimental results, reported in the literature for isotropic materials, shows a very good agreement with theoretical predictions obtained using SAFE method. Furthermore, comparison of the resonance frequencies of the S1 modes, calculated using KLM approximation (f0 = Cd/2h) and SAFE method, are illustrated for each problem. The frequency spectra of the surface displacements show that resonant peaks occur at frequencies where the group velocity vanishes and the phase velocity remains finite, i.e., a minimum in the dispersion curve below the cut-off frequency. The effect of the ratio of the thicknesses of the inversion layer (IL) and the plate on the frequencies and strength of the resonant peaks is examined. It is observed that for PZT-4 with 50% IL to plate thickness ratio the frequency for the second resonant peak is about twice that for the first one. Results are presented showing the dependence of resonant frequencies on the material properties and anisotropy. Materials selection for single-element harmonic ultrasound transducers is a very important factor for optimum design of transducers with multiple thickness-mode resonant frequencies. The theoretical analysis presented in this study should provide a means for optimum ultrasound transducer design for harmonic imaging in medical applications.

Original languageEnglish (US)
Pages (from-to)5088-5102
Number of pages15
JournalInternational Journal of Solids and Structures
Volume45
Issue number18-19
DOIs
StatePublished - Sep 1 2008

Fingerprint

Inversion layers
Guided Waves
Guided electromagnetic wave propagation
Elastic Waves
Elastic waves
Inversion
inversions
Ferroelectric materials
Semi-analytical Method
Transducers
Transducer
finite element method
transducers
Resonant Frequency
Finite element method
Finite Element Method
Ultrasound
Natural frequencies
Ultrasonics
resonant frequencies

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

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title = "Dispersion of elastic guided waves in piezoelectric infinite plates with inversion layers",
abstract = "In this work, we study the dispersion of elastic waves in piezoelectric infinite plates with ferroelectric inversion layers. The motivation is to analyze the effect of ferroelectric inversion layers on wave dispersion and resonant behavior under impulsive line loads. A semi-analytical finite-element (SAFE) method has been adopted to analyze the problem. Two model problems are considered for analysis. In one, the plate is composed of a layer of 36° rotated y-cut LiNbO3 with a ferroelectric inversion layer. In the other, material is PZT-4 with a ferroelectric inversion layer. Comparison with experimental results, reported in the literature for isotropic materials, shows a very good agreement with theoretical predictions obtained using SAFE method. Furthermore, comparison of the resonance frequencies of the S1 modes, calculated using KLM approximation (f0 = Cd/2h) and SAFE method, are illustrated for each problem. The frequency spectra of the surface displacements show that resonant peaks occur at frequencies where the group velocity vanishes and the phase velocity remains finite, i.e., a minimum in the dispersion curve below the cut-off frequency. The effect of the ratio of the thicknesses of the inversion layer (IL) and the plate on the frequencies and strength of the resonant peaks is examined. It is observed that for PZT-4 with 50{\%} IL to plate thickness ratio the frequency for the second resonant peak is about twice that for the first one. Results are presented showing the dependence of resonant frequencies on the material properties and anisotropy. Materials selection for single-element harmonic ultrasound transducers is a very important factor for optimum design of transducers with multiple thickness-mode resonant frequencies. The theoretical analysis presented in this study should provide a means for optimum ultrasound transducer design for harmonic imaging in medical applications.",
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Dispersion of elastic guided waves in piezoelectric infinite plates with inversion layers. / Cortes Correales, Daniel Humbe; Datta, Subhendu K.; Mukdadi, Osama M.

In: International Journal of Solids and Structures, Vol. 45, No. 18-19, 01.09.2008, p. 5088-5102.

Research output: Contribution to journalArticle

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