Surface and Guided Waves in Composites with Nematic Coatings
The theoretical prediction of the acoustical
polarization effects in the heterogeneous composites, made of thick
elastic solids with thin nematic films, is presented. The numericalanalytical
solution to the problem of the different wave propagation
exhibits some new physical effects in the low frequency domain: the
appearance of the critical frequency and the existence of the narrow
transition zone where the wave rapidly changes its speed. The
associated wave attenuation is highly perturbed in this zone. We also
show the possible appearance of the critical frequencies where the
attenuation changes the sign. The numerical results of parametrical
analysis are presented and discussed.
[1] H. R. G. Brand, and H. Finkelmann, "Physical properties of liquid
crystalline elastomers". Handbook of liquid crystals (ed. Demus D. et
al.) Wiley: 1998.
[2] P.-G. de Gennes, J. Prost, "Physics of liquid crystals" Oxford:
Clarendon, 1993.
[3] E. M. Terentjev, "Liquid-crystalline elastomers", J. Phys. Condens.
Matter, Vol. 11, 1999, pp. 239-257.
[4] E. M. Terentjev, and M. Warner, "Linear hydrodynamics and
viscoelasticity of nematic elastomers", Eur. Phys. J. E, Vol. 4, 2001, pp.
343-353.
[5] E. M. Terentjev, I. V. Kamotskii, D. D. Zakharov, and L. Fradkin,
"Propagation of acoustic waves in nematic elastomers", Physics Review
E, vol. 66(5), 2002, pp. 770-773.
[6] L. Fradkin , I. V. Kamotskii, E. M. Terentjev, and D. D. Zakharov,
"Low frequency acoustic waves in nematic elastomers", Proceedings of
Royal Society London A, vol. 459, 2003, pp. 2627-2642.
[7] J. Schmidtke, W. Stille, and G. Strobl, "Static and dynamic light
scattering of a nematic side-group polysiloxane", Macromolecules, Vol.
33, 2000, pp. 2922-2928.
[8] M. Schoonstein, W. Stille, and G. Strobl, "Effect of the network on the
director fluctuations in a nematic side-group elastomer analysed by static
and dynamic light scattering", Eur. Phys. J. E, Vol. 5, 2001, pp. 511-
517.
[9] K. F. Graff, "Wave Motion in Elastic Solids" N.Y.: Dover Publ., 1975.
[10] G. A. Korn and T. M. Korn, "Mathematical handbook", McGraw-Hill,
1968.
[11] A. L. Shuvalov and A. G. Every, "Some properties of surface acoustic
waves in anisotropic-coated solids, studied by the impedance method",
Wave Motion, Vol. 36, 2002, pp. 257-273.
[1] H. R. G. Brand, and H. Finkelmann, "Physical properties of liquid
crystalline elastomers". Handbook of liquid crystals (ed. Demus D. et
al.) Wiley: 1998.
[2] P.-G. de Gennes, J. Prost, "Physics of liquid crystals" Oxford:
Clarendon, 1993.
[3] E. M. Terentjev, "Liquid-crystalline elastomers", J. Phys. Condens.
Matter, Vol. 11, 1999, pp. 239-257.
[4] E. M. Terentjev, and M. Warner, "Linear hydrodynamics and
viscoelasticity of nematic elastomers", Eur. Phys. J. E, Vol. 4, 2001, pp.
343-353.
[5] E. M. Terentjev, I. V. Kamotskii, D. D. Zakharov, and L. Fradkin,
"Propagation of acoustic waves in nematic elastomers", Physics Review
E, vol. 66(5), 2002, pp. 770-773.
[6] L. Fradkin , I. V. Kamotskii, E. M. Terentjev, and D. D. Zakharov,
"Low frequency acoustic waves in nematic elastomers", Proceedings of
Royal Society London A, vol. 459, 2003, pp. 2627-2642.
[7] J. Schmidtke, W. Stille, and G. Strobl, "Static and dynamic light
scattering of a nematic side-group polysiloxane", Macromolecules, Vol.
33, 2000, pp. 2922-2928.
[8] M. Schoonstein, W. Stille, and G. Strobl, "Effect of the network on the
director fluctuations in a nematic side-group elastomer analysed by static
and dynamic light scattering", Eur. Phys. J. E, Vol. 5, 2001, pp. 511-
517.
[9] K. F. Graff, "Wave Motion in Elastic Solids" N.Y.: Dover Publ., 1975.
[10] G. A. Korn and T. M. Korn, "Mathematical handbook", McGraw-Hill,
1968.
[11] A. L. Shuvalov and A. G. Every, "Some properties of surface acoustic
waves in anisotropic-coated solids, studied by the impedance method",
Wave Motion, Vol. 36, 2002, pp. 257-273.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:55878", author = "Dmitry D. Zakharov", title = "Surface and Guided Waves in Composites with Nematic Coatings", abstract = "The theoretical prediction of the acoustical
polarization effects in the heterogeneous composites, made of thick
elastic solids with thin nematic films, is presented. The numericalanalytical
solution to the problem of the different wave propagation
exhibits some new physical effects in the low frequency domain: the
appearance of the critical frequency and the existence of the narrow
transition zone where the wave rapidly changes its speed. The
associated wave attenuation is highly perturbed in this zone. We also
show the possible appearance of the critical frequencies where the
attenuation changes the sign. The numerical results of parametrical
analysis are presented and discussed.", keywords = "Surface wave, guided wave, heterogeneous
composite, nematic coating.", volume = "3", number = "7", pages = "491-4", }