Research Papers

Reflection and Refraction of a Harmonic SH Wave at the Interface of Two Dissimilar Media With MicroHeterogeneity

[+] Author and Article Information
Burhanettin S. Altan

Department of Mechanical Engineering,  Bayburt University, Bayburt 69000, Turkeybaltan@bayburt.edu.tr

J. Appl. Mech 79(6), 061005 (Sep 17, 2012) (7 pages) doi:10.1115/1.4005567 History: Received August 05, 2010; Revised October 06, 2011; Posted January 31, 2012; Published September 17, 2012; Online September 17, 2012

Reflection and refraction of harmonic SH-waves from the interface of two dissimilar media with microheterogeneity is studied. The effect of the microheterogeneity on the overall behavior of the media is taken into account by adding higher order displacement gradients in the stress-strain relationship. It is found that a harmonic wave reflects back with the same angle of the incident wave, like in a classical case. However, it is found that the direction of propagation of the refracted wave is dependent on the wave number. It is also shown that the critical angle for which the incident wave cannot be transmitted to the other half plane is dependent on the wave number.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 4

Solution region for transmission without reflection

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Figure 1

Nomenclature for wave propagation

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Figure 2

Variation of angle of transmitted wave with wave number

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Figure 3

Variation of angle of transmitted wave with angle of incident wave

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Figure 5

Transmission without refraction

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Figure 6

Variation of critical angle of incident with wave number



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