Dispersion curves for Lamb wave propagation in prestressed plates using a semi-analytical finite element analysis

The Journal of the Acoustical Society of America
Kranthi Peddeti, Sridhar Santhanam

Abstract

Acoustoelastic techniques have been recently used to characterize the state of prestress in structures such as plates. The velocity of guided wave modes propagating through plates is sensitive to the magnitude and orientation of the initial state of stress. Dispersion curves for phase velocities of plate guided waves can be computed using the superposition of partial bulk waves (SPBW) method. Here, a semi-analytical finite element (SAFE) method is formulated for the acoustoelastic problem of guided waves in weakly nonlinear elastic plates. The SAFE formulation is shown to provide phase velocity dispersion curve results identical with those provided by the SPBW method for the problem of a plate under a uniaxial and uniform tensile stress. Analytical phase and group velocity dispersion curves are also obtained for a plate with an initial prestress gradient through its thickness using the SAFE method. The magnitude of the prestress gradient is shown to have a significant effect on phase and group velocities of the fundamental and first order Lamb modes, only in certain frequency-thickness regimes.

References

Oct 2, 2007·Ultrasonics·Feng Chen, Paul D Wilcox
Sep 18, 2012·The Journal of the Acoustical Society of America·Navneet GandhiSang Jun Lee
Oct 31, 2016·The Journal of the Acoustical Society of America·Alan C KubruslyJean Pierre von der Weid
Dec 3, 2016·The Journal of the Acoustical Society of America·Ning Pei, Leonard J Bond
Nov 3, 2017·The Journal of the Acoustical Society of America·Ning Pei, Leonard J Bond

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Citations

May 10, 2019·The Journal of the Acoustical Society of America·Munawwar MohabuthChing-Tai Ng
Mar 27, 2021·The Journal of the Acoustical Society of America·Abdellahi AbderahmaneLaurent Daniel

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