Article Article
Zero Group Velocity Modes in Rails: a Numerical Study

Ultrasonic guided wave propagation along a free rail was simulated to understand the existence of intrinsic zero-group velocity (ZGV) modes. A finite element model was established to spatially sample the complex wave disturbance in the rail to study its dispersion relationships. The sharp resonant phenomenon of ZGV modes was observed in the frequency domain, and multiple ZGV points were identified at finite wavenumbers in the wavenumber-frequency domain. The resonances with positive and negative wavenumbers revealed that the observed ZGV modes result from the interference of two propagating modes traveling in opposite directions. ZGV modes in free rails have the potential for rail defect detection, support condition assessment, and stress-free temperature measurement.

DOI: 10.32548/RS.2022.010


(1) Meitzler, A. H., 1965, “Backward wave transmission of stress pulses in elastic cylinders and plates,” The Journal of the Acoustical Society of America, 38(5), pp 835-842.

(2) Prada, C., Clorennec, D., and Royer, D., 2008, “Local vibration of an elastic plate and zero-group velocity Lamb modes,” The Journal of the Acoustical Society of America, 124(1), pp 203-212.

(3) Holland, S. D., and Chimenti, D. E., 2003, “Air-coupled acoustic imaging with zero-group-velocity Lamb modes,” Applied physics letters, 83(13), pp 2704-2706.

(4) Cès, M., Clorennec, D., Royer, D., and Prada, C., 2011, “Thin layer thickness measurements by zero group velocity Lamb mode resonances,” Review of Scientific Instruments, 82(11), pp 114902.

(5) Clorennec, D., Prada, C., and Royer, D., 2007, “Local and noncontact measurements of bulk acoustic wave velocities in thin isotropic plates and shells using zero group velocity Lamb modes,” Journal of applied physics, 101(3), pp 034908.

(6) Mezil, S., Laurent, J., Royer, D., and Prada, C.,2014, “Non contact probing of interfacial stiffnesses between two plates by zero-group velocity Lamb modes,” Applied Physics Letters, 105(2), pp 021605.

(7) BV, C., and OY, C., 1998, “COMSOL Multiphysics User’s Guide© COPYRIGHT 1998–2010 COMSOL AB.”.

(8) Gavrić, L., 1995, “Computation of propagative waves in free rail using a finite element technique,” Journal of Sound and Vibration, 185, 531-543.

(9) Hayashi, T., Song, W. J., Rose, J. L., 2003, “Guided wave dispersion curves for a bar with an arbitrary cross-        section, a rod and rail example,” Ultrasonics, 41, 175-183.

(10) Bartoli, I., Marzani, A., Lanza di Scalea, F. L., Viola, E., 2006, “Modeling wave propagation in damped waveguides of arbitrary cross-section,” Journal of Sound and Vibration, 295, 685-707.

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