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Acoustoelastic Lamb wave propagation in biaxially stressed plates
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10.1121/1.4740491
/content/asa/journal/jasa/132/3/10.1121/1.4740491
http://aip.metastore.ingenta.com/content/asa/journal/jasa/132/3/10.1121/1.4740491

Figures

Image of FIG. 1.
FIG. 1.

Deformation of a body from its natural (undeformed) state ξ to an initial state of static deformation X to a final state of wave motion x.

Image of FIG. 2.
FIG. 2.

Geometry for Lamb wave propagation in a pre-stressed plate. Stresses are applied along the principal directions in the primed coordinate system, and Lamb waves propagate along the x 1 axis.

Image of FIG. 3.
FIG. 3.

(Color online) Dispersion curves for waves propagating in aluminum at an angle of 45° to an applied uniaxial applied stress of 100 MPa. (a) Symmetric modes and (b) antisymmetric modes.

Image of FIG. 4.
FIG. 4.

(Color online) Change in phase velocity versus propagation angle for the S0 mode in aluminum (thickness of 6.35 mm) at 250 kHz and for different uniaxial loads applied along the y axis (90°).

Image of FIG. 5.
FIG. 5.

(Color online) Change in phase velocity versus frequency for the S0 mode propagating in aluminum along the direction of applied uniaxial loads.

Image of FIG. 6.
FIG. 6.

(Color online) Changes in phase velocity versus frequency for waves propagating in aluminum at various angles to a 100 MPa uniaxial load applied along 0°. (a) S0 mode, (b) S1 mode, (c) A0 mode, and (d) A1 mode. The inset plot for the A0 mode shows that the changes are isotropic for a frequency-thickness product of approximately 0.187 MHz-mm.

Image of FIG. 7.
FIG. 7.

(Color online) Dispersion curves for the S0 and SH0 modes for a uniaxial load of 100 MPa and propagation at an angle of 45° to the applied load. The inset plot shows that the modes are mixed and do not cross.

Image of FIG. 8.
FIG. 8.

(Color online) Changes in phase velocity versus frequency for the A0 mode propagating in steel at various angles to a 200 MPa uniaxial load applied along 0°. The inset plot shows that the changes are isotropic for a frequency-thickness product of approximately 0.35 MHz-mm.

Image of FIG. 9.
FIG. 9.

(Color online) (a) Photograph and (b) sketch of transducers mounted to a 6.35 mm thick aluminum plate. The sketch shows the nine propagation paths used to characterize acoustoelastic Lamb wave propagation.

Image of FIG. 10.
FIG. 10.

(Color online) Comparison of theory and experiment for propagation in aluminum (thickness of 6.35 mm) with an applied uniaxial load at 90°. (a) Changes in phase velocity versus load for waves propagating at an angle of 90° (along the loading direction), and (b) changes in phase velocity versus propagation angle for an applied load of 57.5 MPa.

Image of FIG. 11.
FIG. 11.

(Color online) Comparison of theory and experiment with an applied uniaxial load of 57.5 MPa at 90° using modified third order elastic constants (l = −181 GPa, m = −289 GPa, and n = −336 GPa).

Tables

Generic image for table
TABLE I.

Material constants for 6061-T6 aluminum [ 25 ].

Generic image for table
TABLE II.

Material constants for Hecla 37 steel [ 27 ].

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/content/asa/journal/jasa/132/3/10.1121/1.4740491
2012-09-12
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Acoustoelastic Lamb wave propagation in biaxially stressed plates
http://aip.metastore.ingenta.com/content/asa/journal/jasa/132/3/10.1121/1.4740491
10.1121/1.4740491
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