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TRANSMISSION OF ELASTIC WAVES IN ANISOTROPIC NEMATIC ELASTOMERS

Part of: Equilibrium statistical mechanics

Published online by Cambridge University Press:  02 July 2015

S. S. SINGH
S. S. SINGH*
Affiliation:
Department of Mathematics and Computer Science, Mizoram University, Aizawl 796 004, Mizoram, India email [email protected]
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Abstract

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The problem of reflection and refraction of elastic waves due to an incident quasi-primary $(qP)$ wave at a plane interface between two dissimilar nematic elastomer half-spaces has been investigated. The expressions for the phase velocities corresponding to primary and secondary waves are given. It is observed that these phase velocities depend on the angle of propagation of the elastic waves. The reflection and refraction coefficients corresponding to the reflected and refracted waves, respectively, are derived by using appropriate boundary conditions. The energy transmission of the reflected and refracted waves is obtained, and the energy ratios and the reflection and refraction coefficients are computed numerically.

Keywords

nematic elastomersqP-waveqSV-wavereflectionrefractionphase velocity

MSC classification

Primary: 82B24: Interface problems; diffusion-limited aggregation
Type
Research Article
Information
The ANZIAM Journal , Volume 56 , Issue 4 , April 2015 , pp. 381 - 396
Copyright
© 2015 Australian Mathematical Society 

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