Effect of skew angle on second harmonic guided wave measurement in composite plates

Hwanjeong Cho, Sungho Choi, Clifford Jesse Lissenden, III

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Waves propagating in anisotropic media are subject to skewing effects due to the media having directional wave speed dependence, which is characterized by slowness curves. Likewise, the generation of second harmonics is sensitive to micro-scale damage that is generally not detectable from linear features of ultrasonic waves. Here, the effect of skew angle on second harmonic guided wave measurement in a transversely isotropic lamina and a quasi-isotropic laminate are numerically studied. The strain energy density function for a nonlinear transversely isotropic material is formulated in terms of the Green-Lagrange strain invariants. The guided wave mode pairs for cumulative second harmonic generation in the plate are selected in accordance with the internal resonance criteria-i.e., phase matching and non-zero power flux. Moreover, the skew angle dispersion curves for the mode pairs are obtained from the semi-analytical finite element method using the derivative of the slowness curve. The skew angles of the primary and secondary wave modes are calculated and wave propagation simulations are carried out using COMSOL. Numerical simulations revealed that the effect of skew angle mismatch can be significant for second harmonic generation in anisotropic media. The importance of skew angle matching on cumulative second harmonic generation is emphasized and the accompanying issue of the selection of internally resonant mode pairs for both a unidirectional transversely isotropic lamina and a quasi-isotropic laminate is demonstrated.

Original languageEnglish (US)
Title of host publication43rd Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 36
EditorsLeonard J. Bond, Dale E. Chimenti
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414747
DOIs
StatePublished - Feb 16 2017
Event43rd Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2016 - Atlanta, United States
Duration: Jul 17 2016Jul 22 2016

Publication series

NameAIP Conference Proceedings
Volume1806
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other43rd Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2016
CountryUnited States
CityAtlanta
Period7/17/167/22/16

Fingerprint

harmonics
composite materials
harmonic generations
anisotropic media
laminates
curves
ultrasonic radiation
phase matching
S waves
wave propagation
finite element method
flux density
simulation
damage
propagation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Cho, H., Choi, S., & Lissenden, III, C. J. (2017). Effect of skew angle on second harmonic guided wave measurement in composite plates. In L. J. Bond, & D. E. Chimenti (Eds.), 43rd Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 36 [060002] (AIP Conference Proceedings; Vol. 1806). American Institute of Physics Inc.. https://doi.org/10.1063/1.4974611
Cho, Hwanjeong ; Choi, Sungho ; Lissenden, III, Clifford Jesse. / Effect of skew angle on second harmonic guided wave measurement in composite plates. 43rd Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 36. editor / Leonard J. Bond ; Dale E. Chimenti. American Institute of Physics Inc., 2017. (AIP Conference Proceedings).
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abstract = "Waves propagating in anisotropic media are subject to skewing effects due to the media having directional wave speed dependence, which is characterized by slowness curves. Likewise, the generation of second harmonics is sensitive to micro-scale damage that is generally not detectable from linear features of ultrasonic waves. Here, the effect of skew angle on second harmonic guided wave measurement in a transversely isotropic lamina and a quasi-isotropic laminate are numerically studied. The strain energy density function for a nonlinear transversely isotropic material is formulated in terms of the Green-Lagrange strain invariants. The guided wave mode pairs for cumulative second harmonic generation in the plate are selected in accordance with the internal resonance criteria-i.e., phase matching and non-zero power flux. Moreover, the skew angle dispersion curves for the mode pairs are obtained from the semi-analytical finite element method using the derivative of the slowness curve. The skew angles of the primary and secondary wave modes are calculated and wave propagation simulations are carried out using COMSOL. Numerical simulations revealed that the effect of skew angle mismatch can be significant for second harmonic generation in anisotropic media. The importance of skew angle matching on cumulative second harmonic generation is emphasized and the accompanying issue of the selection of internally resonant mode pairs for both a unidirectional transversely isotropic lamina and a quasi-isotropic laminate is demonstrated.",
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Cho, H, Choi, S & Lissenden, III, CJ 2017, Effect of skew angle on second harmonic guided wave measurement in composite plates. in LJ Bond & DE Chimenti (eds), 43rd Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 36., 060002, AIP Conference Proceedings, vol. 1806, American Institute of Physics Inc., 43rd Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2016, Atlanta, United States, 7/17/16. https://doi.org/10.1063/1.4974611

Effect of skew angle on second harmonic guided wave measurement in composite plates. / Cho, Hwanjeong; Choi, Sungho; Lissenden, III, Clifford Jesse.

43rd Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 36. ed. / Leonard J. Bond; Dale E. Chimenti. American Institute of Physics Inc., 2017. 060002 (AIP Conference Proceedings; Vol. 1806).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Cho H, Choi S, Lissenden, III CJ. Effect of skew angle on second harmonic guided wave measurement in composite plates. In Bond LJ, Chimenti DE, editors, 43rd Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 36. American Institute of Physics Inc. 2017. 060002. (AIP Conference Proceedings). https://doi.org/10.1063/1.4974611