 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 48, Issue 6 / 2013 | Next article >> |
| D.D. Zakharov, "Resonance Phenomena in Surface Wave Propagation in Elastic Bodies Coated with Nematic Elastomers," Mech. Solids. 48 (6), 659-672 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
6 |
Pages |
659-672 |
| DOI |
10.3103/S0025654413060095 |
| Title |
Resonance Phenomena in Surface Wave Propagation in Elastic Bodies Coated with Nematic Elastomers |
| Author(s) |
D.D. Zakharov (Moscow State University of Railway Engineering, Obraztsova 9 str. 9, Moscow, 127994 Russia, dd_zakh@mail.ru) |
| Abstract |
The wave properties of promising composites containing thin-film coatings made of nontraditional materials-nematic
elastomers-are considered. Nematic materials are characterized by strong anisotropy of their properties and additional degrees of freedom due to possible rotations of molecules and chains with respect to the main direction of orientation, i.e., the so-called "director." A phenomenological description of materials, which was earlier proposed for low-frequency interactions, is used to discover specific effects of acoustic wave polarization in infinite nematic media. It is shown that these effects manifest themselves very unusually in the case of wave interaction with the boundary, and their parametric analysis is presented. |
| Keywords |
heterogeneous composite, nematic elastomer coating, surface wave |
| References |
| 1. | H. Finkelmann, H. J. Kock, and H. Rehage,
"Liquid Crystalline Elastomers - a New Type of Liquid Crystalline Material,"
Makromol. Chem. Rapid Commun.
2, 317-322 (1981). |
| 2. | H. R. C. Brand and H. Finkelmann,
"Physical Properties of Liquid Crystalline Elastomers,"
in Handbook of Liquid Crystals, Ed. by D. Demus et al.
(Wiley, New York, 1998),
pp. 277-302. |
| 3. | J. D. Ferry,
Viscoelastic Properties of Polymers
(Wiley, New York, 1980). |
| 4. | P.-G. de Gennes and J. Prost,
Physics of Liquid Crystals
(Clarendon Press, Oxford, 1993). |
| 5. | A. M. Donald and A. H. Windle,
Liquid Crystals Polymers
(Cambridge Univ. Press, Cambridge, 1992). |
| 6. | J. Kupfer and H. Finkelmann,
"Nematic Liquid Single Crystal Elastomers,"
Makromol. Chem. Rapid Commun.
12 (12), 717-726 (1991). |
| 7. | J. Kupfer and H. Finkelmann,
"Liquid Crystal Elastomer: Influence of the Orientation Distribution
of the Cross-Links on the Phase Behavior and Reorientation Process,"
Makromol. Chem. Phys
195 (4), 1353-1367 (1994). |
| 8. | P.-G. de Gennes,
"Weak Nematic Gels,"
in Liquid Crystals of One- and Two-Dimensional Order,
Ed. by W. Helfrich and G. Heppke
(Springer, Berlin, 1980),
pp. 231-237. |
| 9. | H. R. Brand and H. Pleiner,
"Electrohydrodynamics of Nematic Liquid Crystalline Elastomers,"
Physica
A208 (3-4), 359-372 (1994). |
| 10. | E. M. Terentijev,
"Liquid-Crystalline Elastomers,"
J. Phys. Condens. Matt.
11 (24), R239-R257 (1999). |
| 11. | E. M. Terentijev and M. Warner,
"Linear Hydrodynamics and Viscoelasticity of Nematic Elastomers,"
Eur. Phys. J. E
4, 343-353 (2001). |
| 12. | M. Warner and E. M. Terentijev,
Liquid Crystal Elastomers
(Clarendon Press, Oxford, 2003). |
| 13. | Y. Y. Huang, S. Y. Ahir, and E. M. Terentijev,
"Dispersion Rheology of Carbon Nanotubes in a Polymer Matrix,"
Phys. Rev. B
73 (6), P. 125422-1-9 (2006). |
| 14. | E. M. Terentijev, I. V. Kamotskii, D. D. Zakharov, and L. Fradkin,
"Propagation of Acoustic Waves in Nematic Elastomers,"
Phys. Rev. B
66 (5), 770-773 (2002). |
| 15. | L. Fradkin, I. V. Kamotskii, E. M. Terentijev, and D. D. Zakharov,
"Low Frequency Acoustic Waves in Nematic Elastomers,"
Proc. Roy. Soc. London Ser. A
459 (2032), 2627-2642 (2003). |
| 16. | B. Singh,
"Reflection of Homogeneous Elastic Waves from Free Surfaces of Nematic Elastomer Half-Space,"
J.Phys. D: Appl. Phys.
40 (2), 584-592 (2007). |
| 17. | J. Schmidtke, W. Stille, and G. Strobl,
"Static and Dynamic Light Scattering of a Nematic Side-Group Polysiloxane,"
Macromolecules
33 (8), 2922-2928 (2000). |
| 18. | M. Schoonstein, W. Stille, and G. Strobl,
"Effect of the Network on the Director Fluctuations
in a Nematic Side-Group Elastomer Analyzed by Static and Dynamic Light Scattering,"
Eur. Phys. J. E
5, 511-517 (2001). |
| 19. | K. F. Graff,
Wave Motion in Elastic Solids
(State Univ. Press, Ohio, 1975). |
| 20. | G. A. Korn and T. M. Korn,
Mathematical Handbook for Engineers and Scientists
(McGraw-Hill, New York, 1968). |
| 21. | V. I. Alshits, W. Gierulski, V. N. Lyubimov, and A. Radkowicz,
"Resonance Excitation of Quasi-Rayleigh Waves in Plates on Soft or Hard Substrates,"
Kristallogr.
42 (1), 20-27 (1997)
[Crystallogr. Rep. (Engl. Transl.)
42 (1), 20-27 (1997)]. |
| 22. | A. L. Shulvalov and A. G. Every,
"Some Properties of Surface Acoustic Waves in Anisotropic-Coated Solids
Studies by the Impedance Method,"
Wave Motion
36 (3), 257-273 (2002). |
| 23. | I. E. Kuznetsova, B. D. Zaitsev, and A. S. Kuznetsova,
"Acoustic Waves in Structure Piezoelectric Plate - Polymeric Nanocomposite Film,"
Ultrasonics
48 (6-7), 587-590 (2008). |
| 24. | J. Du, K. Xian, and Y.-K. Yong,
"Love Wave Propagation in Piezoelectric Layered Structure with Dissipation,"
Ultrasonics
49 (2), 281-286 (2009). |
| 25. | D. D. Zakharov,
"Resonance Effects of the Axisymmetrical Mode Propagation in Composite
Cylindrical Solids with Nematic Coatings,"
Akust. Zh.
57 (2), 252-258 (2011)
[Acoust. Phys. (Engl. Transl.)
57 (2), 246-252 (2011)]. |
| 26. | D. D. Zakharov and A. V. Kaptsov,
"Effect of Nematic Coating on Fundamental Mode Propagation in Layered Elastic Plates,"
Akust. Zh.
57 (1), 65-73 (2011)
[Acoust. Phys. (Engl. Transl.)
57 (1), 59-65 (2011)]. |
| 27. | D. D. Zakharov,
"Surface and Edge Waves in Solids with Nematic Coatings,"
SAGE J. Math. Mech. Solids
17 (1), 67-80 (2012). |
|
| Received |
12 January 2010 |
| Link to Fulltext |
|
| << Previous article | Volume 48, Issue 6 / 2013 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English