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Harmonic waves in anisotropic nematic elastomers

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  • Singh, S.S.

Abstract

The problem of plane waves propagation in the nematic elastomers has been investigated. The phase velocity corresponding to primary (P) and secondary waves (S) in the anisotropic nematic elastomers are complex and depend on their angles of propagation. The phase velocity and the attenuation coefficients for these waves are obtained analytically and numerically for a particular model.

Suggested Citation

  • Singh, S.S., 2017. "Harmonic waves in anisotropic nematic elastomers," Applied Mathematics and Computation, Elsevier, vol. 302(C), pages 1-8.
  • Handle: RePEc:eee:apmaco:v:302:y:2017:i:c:p:1-8
    DOI: 10.1016/j.amc.2017.01.001
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    1. Aditya Agrawal & Alin C. Chipara & Yousif Shamoo & Prabir K. Patra & Brent J. Carey & Pulickel M. Ajayan & Walter G. Chapman & Rafael Verduzco, 2013. "Dynamic self-stiffening in liquid crystal elastomers," Nature Communications, Nature, vol. 4(1), pages 1-6, June.
    2. Brand, Helmut R. & Pleiner, Harald, 1994. "Electrohydrodynamics of nematic liquid crystalline elastomers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(3), pages 359-372.
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