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Ultrasonic wave characteristics of nanorods via nonlocal strain gradient models
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10.1063/1.3345869
/content/aip/journal/jap/107/8/10.1063/1.3345869
http://aip.metastore.ingenta.com/content/aip/journal/jap/107/8/10.1063/1.3345869
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

A Nanorod, showing length , Young’s modulus , density , cross-sectional area , and longitudinal displacement .

Image of FIG. 2.
FIG. 2.

Point impact load applied at one of the nanorod (free body diagram).

Image of FIG. 3.
FIG. 3.

Wave number dispersion with wave frequency obtained from classical continuum model, second and fourth order strain gradient models.

Image of FIG. 4.
FIG. 4.

Effect of nonlocal scaling parameter on wave number dispersion in nanorod.

Image of FIG. 5.
FIG. 5.

Effect of nonlocal scaling parameter on phase speed dispersion in nanorod.

Image of FIG. 6.
FIG. 6.

Effect of nonlocal scaling parameter on Group dispersion in nanorod.

Image of FIG. 7.
FIG. 7.

Critical wave number (obtained from second order strain gradient model) variation with nonlocal scaling parameter.

Image of FIG. 8.
FIG. 8.

Relation between the number of waves along the nanorod and the nonlocal scaling parameter obtained from second order strain gradient model, is the length of the nanorod.

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/content/aip/journal/jap/107/8/10.1063/1.3345869
2010-04-28
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Ultrasonic wave characteristics of nanorods via nonlocal strain gradient models
http://aip.metastore.ingenta.com/content/aip/journal/jap/107/8/10.1063/1.3345869
10.1063/1.3345869
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