Localised vibration modes and stop bands for continuous and discrete periodic structures

Materials Science and Engineering: A

Volumn 431, Issue 1-2, 2006, Pages 175-183

  Movchan, A B ^a   Movchan, N V ^a   Haq, S ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Bloch Floquet waves; Lattice structures; Phononic crystals

Indexed keywords

CRYSTAL LATTICES; CRYSTAL STRUCTURE; DEFECTS; PHONONS; VIBRATIONS (MECHANICAL);

BLOCH-FLOQUET WAVES; LATTICE STRUCTURES; LOCALISED VIBRATION MODES; PERIODIC STRUCTURES; PHONONIC CRYSTALS; STOP BANDS;

CRYSTALS;

CRYSTAL LATTICES; CRYSTAL STRUCTURE; CRYSTALS; DEFECTS; PHONONS; VIBRATIONS (MECHANICAL);

EID: 33746616564     PISSN: 09215093     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.msea.2006.05.145     Document Type: Article

References (18)

1. J.P. Dowling, A compre/hensive bibliography website, http://baton.phys.lsu.edu/∼jpdowling/pbgbib.html.
2. Parker A.R., McPhedran R.C., McKenzie D.R., Botten L.C., and Nicorovici N.A. Nature 409 (2001) 36-37
3. Platts S.B., Movchan N.V., McPhedran R.C., and Movchan A.B. Proc. R. Soc. London A 458 (2002) 2327-2347
4. Platts S.B., Movchan N.V., McPhedran R.C., and Movchan A.B. Proc. R. Soc. London A 459 (2003) 221-240
5. Poulton C.G., Movchan A.B., McPhedran R.C., Nicorovici N.A., and Antipov Y.A. Proc. R. Soc. London A 456 (2000) 2543-2559
6. Zalipaev V.V., Movchan A.B., Poulton C.G., and McPhedran R.C. Proc. R. Soc. London A 458 (2002) 1887-1912
7. Poulton C.G., Botten L.C., McPhedran R.C., Nicorovici N.A., and Movchan A.B. SIAM J. Appl. Math. 61 (2001) 1706-1730
8. Poulton C., Guenneau S., and Movchan A.B. Phys. Rev. B 69 (2004) art. no. 195112
9. Movchan A.B., and Guenneau S. Phys. Rev. B 70 (2004) art. no. 125116
10. Guenneau S., Movchan A.B., Poulton C.G., and Nicolet A. Q. J. Mech. Appl. Math. 57 (2004) 407-428
11. Guenneau S., and Movchan A.B. Zeitschrift fur Kristallographie 220 9-10 (2005) 906-911
12. Martinsson P.G., and Movchan A.B. Q. J. Mech. Appl. Math. 56 1 (2003) 45-64
13. Movchan A.B., Movchan N.V., and Poulton C.G. Asymptotic Models of Fields in Dilute and Densely Packed Composites (2002), Imperial College Press
14. Kunin I.A. Elastic Media with Microstructures I (1982), Springer-Verlag, Berlin, Heidelberg, New York
15. Kittel C. Introduction to Solid State Physics. seventh ed. (1996), Wiley, New York
16. Sigalas M., Kushwaha M.S., Economou E.N., Kafesaki M., Psarobas I.E., and Steurer W. Zeitschrift fur Kristallographie 220 9-10 (2005) 765-809
17. Balk A., Cherkaev A., and Slepyan L. J. Mech. Phys. Solids 49 (2001) 149-171
18. Balk A., Cherkaev A., and Slepyan L. J. Phys. Mech. Solids 49 (2001) 131-148