journal article
Open Access
Feb 19, 2024
Acoustoelastic characterization of plates using zero group velocity Lamb modes
Abstract
Acoustoelasticity, a characteristic of material anharmonicity, gives rise to a link between wave propagation velocity and the stress state in materials. Ultrasonic techniques to monitor this coupling, particularly with high sensitivity and in a noncontact manner, can have widespread application both in the quantification of applied and residual stress and in the characterization of nonlinear material behavior through measurement of higher order elastic constants. Here, we use a laser ultrasonic technique to excite and detect zero group velocity (ZGV) Lamb wave resonances in aluminum plates under uniaxial loading. A laser line source is used to excite these resonances at different orientations with respect to the applied load, and the signals are detected using an interferometer. The effects of stress and source orientation on ZGV resonance frequencies are validated using the theory of acoustoelastic Lamb wave propagation. In addition, a model-based inversion technique is used to extract Murnaghan's third-order elastic constants from measurements of the stress dependence of the first two ZGV modes generated parallel and perpendicular to the applied load. Laser generation and detection of ZGV resonances is shown to be an effective and powerful approach for the noncontact and nondestructive acoustoelastic characterization of elastic waveguides.
Topics
No keywords indexed for this article. Browse by subject →
References
33
[1]
"Residual Stress in engineering materials: A review" Adv. Eng. Mater. (2022) 10.1002/adem.202100786
[2]
"Residual stress and its role in failure" Rep. Prog. Phys. (2007) 10.1088/0034-4885/70/12/r04
[3]
Schajer (2013) 10.1002/9781118402832
[4]
"The measurement of applied and residual stresses in metals using ultrasonic waves" J. Sound Vib. (1967) 10.1016/0022-460x(67)90186-1
[5]
"A review of selected non-destructive methods for residual stress measurement" NDT Int. (1982) 10.1016/0308-9126(82)90083-9
[6]
"Acoustoelastic imaging of stress fields" J. Appl. Phys. (1979) 10.1063/1.326268
[7]
"Resonance EMAT system for acoustoelastic stress measurement in sheet metals" Rev. Sci. Instrum. (1993) 10.1063/1.1144328
[8]
"Determination of third-order elastic constants using change of cross-sectional resonance frequencies by acoustoelastic effect" J. Appl. Phys. (2021) 10.1063/5.0069579
[9]
"Acoustoelastic Lamb wave propagation in biaxially stressed plates" J. Acoust. Soc. Am. (2012) 10.1121/1.4740491
[10]
"Higher order acoustoelastic Lamb wave propagation in stressed plates" J. Acoust. Soc. Am. (2016) 10.1121/1.4967756
[11]
(1990)
[12]
"Laser-based ultrasonic generation and detection of zero-group velocity Lamb waves in thin plates" Appl. Phys. Lett. (2005) 10.1063/1.2128063
[13]
"Laser impulse generation and interferometer detection of zero group velocity Lamb mode resonance" Appl. Phys. Lett. (2006) 10.1063/1.2220010
[14]
"Local and noncontact measurements of bulk acoustic wave velocities in thin isotropic plates and shells using zero group velocity Lamb modes" J. Appl. Phys. (2007) 10.1063/1.2434824
[15]
"Investigation of interfacial stiffnesses of a tri-layer using Zero-Group Velocity Lamb modes" J. Acoust. Soc. Am. (2015) 10.1121/1.4934958
[16]
"Characterization of progressive fatigue damage in solid plates by laser ultrasonic monitoring of zero-group-velocity Lamb modes" Phys. Rev. Appl. (2018) 10.1103/physrevapplied.9.061001
[17]
"Local stress measurement in thin aluminum plates based on zero-group-velocity Lamb mode" Chin. J. Mech. Eng. (2023) 10.1186/s10033-023-00855-z
[18]
"Excitation of S1-ZGV Lamb wave with a compact wedged transducer and its application in local stress measurement" NDT&E Int. (2023) 10.1016/j.ndteint.2023.102944
[19]
"Influence of the anisotropy on zero-group velocity Lamb modes" J. Acoust. Soc. Am. (2009) 10.1121/1.3167277
[20]
"Acoustoelastic waves in orthotropic media" J. Acoust. Soc. Am. (1985) 10.1121/1.392384
[21]
"Derivation of acoustoelastic Lamb wave dispersion curves in anisotropic plates at the initial and natural frames of reference" J. Acoust. Soc. Am. (2016) 10.1121/1.4964343
[22]
"Effect of uniaxial stress on the propagation of higher-order Lamb wave modes" Int. J. Non-Linear Mech. (2016) 10.1016/j.ijnonlinmec.2016.08.006
[23]
Acoustoelastic guided waves in waveguides with arbitrary prestress
Peng Zuo, Xudong Yu, Zheng Fan
Journal of Sound and Vibration
2020
10.1016/j.jsv.2019.115113
[24]
"Acoustoelastic guided wave propagation in axial stressed arbitrary cross-section" Smart Mater. Struct. (2019) 10.1088/1361-665x/aadb6e
[25]
"Dispersion curves for Lamb wave propagation in prestressed plates using a semi-analytical finite element analysis" J. Acoust. Soc. Am. (2018) 10.1121/1.5023335
[26]
(2004)
[27]
D. A.
Kiefer
, “
Elastodynamic quasi-guided waves for transit-time ultrasonic flow metering,” Ph.D. dissertation (
FAU University Press, 2022).
[28]
D. A. Kiefer (2022). “GEW dispersion script,” Zenodo. Dataset https://doi.org/10.5281/zenodo.7010603
[29]
"Measurement of third-order elastic constants using thermal modulation of ultrasonic waves" Appl. Phys. Lett. (2021) 10.1063/5.0055405
[30]
"Laser beam shaping for enhanced Zero-Group Velocity Lamb modes generation" J. Acoust. Soc. Am. (2016) 10.1121/1.4965291
[31]
"Multi-detector receiver for laser ultrasonic measurement on the run" Nondestr. Test. Eval. (2011) 10.1080/10589759.2011.577431
[32]
"Ultrasonic studies of 1060 and 6061-T6 aluminum" J. Appl. Phys. (1967) 10.1063/1.1709077
[33]
"Beating resonance patterns and extreme power flux skewing in anisotropic elastic plates" Sci. Adv. (2023) 10.1126/sciadv.adk6846
Metrics
12
Citations
33
References
Details
- Published
- Feb 19, 2024
- Vol/Issue
- 124(8)
- License
- View
Authors
Cite This Article
Rosa E. Morales, Niket Pathak, Jordan S. Lum, et al. (2024). Acoustoelastic characterization of plates using zero group velocity Lamb modes. Applied Physics Letters, 124(8). https://doi.org/10.1063/5.0183620
Related
You May Also Like
VAPOR-LIQUID-SOLID MECHANISM OF SINGLE CRYSTAL GROWTH
R. S. Wagner, W. C. Ellis · 1964
6,254 citations
Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles
J. A. Eastman, S. U.-S. Choi · 2001
3,422 citations