Wave Propagation in Linear and Nonlinear Periodic Media: Analysis and Applications
Suggested readings
Brillouin, L. 1953. Wave Propagation in Periodic Structures, 2nd ed. Dover, New York.
D.J. Mead, Wave propagation in continuous periodic structures: research contributions from southampton, 1964–1995, Journal of Sound and Vibration, 190(3), 495–524, 1996.
Kittel, C., Introduction to Solid State Physics, 8th ed. John Wiley & Sons, Inc., 2005.
Manevitch L.I., Pervouchine V.P. Transversal dynamics of one-dimensional chain on nonlinear asymmetric substrate. Meccanica, 38, 669–676, 2003.
Gonella S., Ruzzene M., “Homogenization and Equivalent In-Plane Properties of Two-dimensional Lattices”, International Journal of Solids and Structures, 45, n 10, 2897–2915, 2008.
Romeo F., Rega G., Wave propagation properties of chains of oscillators with cubic nonlinearities via nonlinear map approach, Chaos, Solitons and Fractals, 27, 606–617, 2006.
Sigmund O. and Jensen J.S., Systematic design of phononic band-gap materials and structures by topology optimization, Philosophical Transactions of the Royal Society: Mathematical, Physical and Engineering Sciences, 361, 1001–1019, 2003.
C. Daraio, V.F. Nesterenko, E.B. Herbold, S. Jin, Tunability of solitary eave properties in one-dimensional strongly nonlinear phononic crystals, Physical Review, E 73, 026610, 2006.
Khelif, A., et al., Complete band gaps in two-dimensional phononic crystal slabs. Physical Review E – Statistical, Nonlinear, and Soft Matter Physics, 2006. 74(4): p. 046610.