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.
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February 2018
February 09 2018
Dispersion curves for Lamb wave propagation in prestressed plates using a semi-analytical finite element analysis
Kranthi Peddeti;
Kranthi Peddeti
Mechanical Engineering Department, Villanova University
, Villanova, Pennsylvania 19085, USA
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Sridhar Santhanam
Sridhar Santhanam
a)
Mechanical Engineering Department, Villanova University
, Villanova, Pennsylvania 19085, USA
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a)
Electronic mail: [email protected]
J. Acoust. Soc. Am. 143, 829–840 (2018)
Article history
Received:
September 23 2017
Accepted:
January 23 2018
Citation
Kranthi Peddeti, Sridhar Santhanam; Dispersion curves for Lamb wave propagation in prestressed plates using a semi-analytical finite element analysis. J. Acoust. Soc. Am. 1 February 2018; 143 (2): 829–840. https://doi.org/10.1121/1.5023335
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