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Finite-size effects on the quasistatic displacement pulse in a solid specimen with quadratic nonlinearity
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10.1121/1.4817840
/content/asa/journal/jasa/134/3/10.1121/1.4817840
http://aip.metastore.ingenta.com/content/asa/journal/jasa/134/3/10.1121/1.4817840

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Schematic illustration of the right-triangular shape predicted by Yost and Cantrell for the quasistatic displacement pulse (Ref. ).

Image of FIG. 2.
FIG. 2.

(Color online) FE simulation results of tone burst propagation in aluminum (displacement-prescribed plane radiator,  = 8,  = 1 MHz,  = 100 nm,  = 50 mm).

Image of FIG. 3.
FIG. 3.

(Color online) Analytical predictions and FE simulation results for the amplitude of the quasistatic displacement pulse produced by an  = 1 MHz frequency,  = 100 nm amplitude tone burst in aluminum (displacement-prescribed plane radiator).

Image of FIG. 4.
FIG. 4.

(Color online) FE simulation results of tone burst propagation in aluminum (traction-prescribed plane radiator,  = 8,  = 1 MHz,  = 100 nm,  = 50 mm).

Image of FIG. 5.
FIG. 5.

(Color online) Nonlinear signals generated by a harmonic tone burst propagating through an aluminum plate for (a) displacement-prescribed and (b) traction-prescribed plane radiators ( = 8,  = 1 MHz,  = 100 nm,  = 50 mm).

Image of FIG. 6.
FIG. 6.

(Color online) Lommel diffraction correction as a function of transducer radius ( = 50 mm,  = 6176 m/s,  = 1 MHz).

Image of FIG. 7.
FIG. 7.

(Color online) Example of two acoustic tone bursts of opposite polarity generated by a displacement-prescribed finite aperture radiator in an aluminum half-space ( = 6,  = 1 MHz,  = 100 nm,  = 15 mm,  = 50 mm,  = 8 s).

Image of FIG. 8.
FIG. 8.

(Color online) Examples of the received nonlinear signals for three different transducer radii.

Image of FIG. 9.
FIG. 9.

(Color online) Examples of the (a) envelope of the second harmonic tone burst and (b) quasistatic displacement pulse for four different transducer radii and the infinite plane wave prediction.

Image of FIG. 10.
FIG. 10.

(Color online) The mean displacement amplitudes of the first and second harmonics and the quasistatic pulse as functions of the transducer radius for  = 50 mm transducer separation.

Tables

Generic image for table
TABLE I.

Physical properties of aluminum used in the FE simulations.

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/content/asa/journal/jasa/134/3/10.1121/1.4817840
2013-09-01
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Finite-size effects on the quasistatic displacement pulse in a solid specimen with quadratic nonlinearity
http://aip.metastore.ingenta.com/content/asa/journal/jasa/134/3/10.1121/1.4817840
10.1121/1.4817840
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