Acknowledgement
I would like to express all my gratitude to 1Université Bourgogne Franche Comté and 2University of Bristol for hosting me during my research, and to my supervisors Morvan Ouisse1 and Fabrizio Scarpa2. I would also like to thank my VIPER MSCA-ITN colleagues for constant feedback, especially Marc-Antoine Campana. This project has received funding from the European Union's Horizon 2020 research and innovation programme under Marie Curie grant agreement No 675441.
References
- Brillouin, L. (1953), Wave Propagation in Periodic Structures, Electric Filters and Crystal Lattices, Dover.
- Collet, M., Ouisse, M., Ruzzene, M. and Ichchou, M.N. (2011), "Floquet-Bloch decomposition for the computation of dispersion of two-dimensional periodic, damped mechanical systems", Int. J. Solids Struct., 48(20), 2837-2848. https://doi.org/10.1016/j.ijsolstr.2011.06.002.
- Del Broccolo, S., Laurenzi, S. and Scarpa, F. (2017), "AUXHEX - a Kirigami inspired zero Poisson's ratio cellular structure", Compos. Struct., 176., 433-441. https://doi.org/10.1016/j.compstruct.2017.05.050.
- Gibson, L.J. and Ashby, M.F. (1997), Cellular Solids, 2nd Ed., Cambridge University Press.
- Gonella, S. and Ruzzene, M. (2008), "Analysis of in-plane wave propagation in hexagonal and re-entrant lattices", J. Sound Vib., 312(1-2), 125-139. https://doi.org/10.1016/j.jsv.2007.10.033
- Hussein, M.I., Leamy, M.J. and Ruzzene, M. (2014), "Dynamics of phononic materials and structures: Historical origins, recent progress and future outlook", Appl. Mech. Rev., 66(4), 040802. https://doi.org/10.1115/1.4026911.
- Mace, B.R. and Manconi, E. (2008), "Modelling wave propagation in two-dimensional structure using finite element analysis", J. Sound Vib., 318(4-5), 844-902. https://doi.org/10.1016/j.jsv.2008.04.039.
- Mace, B.R., Duhamel, D., Brennan, M.J. and Hinke, L. (2005), "Finite element prediction of wave motion in structural waveguides", J. Acous. Soc. Amer., 117(5), 2835-2843. https://doi.org/10.1121/1.1887126.
- Mead, D.J. (1996), "Wave propagation in continuous periodic structures: research contributions from Southampton 1964-1995", J. Sound Vib., 190(3), 495-524. https://doi.org/10.1006/jsvi.1996.0076.
- Neville, R. M., Monti, A., Hazra, K., Scarpa, F., Remillat, C. and Farrow, I.R. (2014), "Transverse stiffness and strength of Kirigami zero-v PEEK honeycombs", Compos. Struct., 114, 30-40. https://doi.org/10.1016/j.compstruct.2014.04.001,
- Ruzzene, M., Scarpa, F. and Soranna, F. (2003), "Wave beaming effects in two-dimensional cellular structures", Smart Mater. Struct., 12(3) 363-372.
- Scarpa, F., Ouisse, M., Collet, M. and Saito, K. (2013), "Kirigami auxetic pyramidal core: mechanical properties and wave propagation analysis in damped lattice", J. Vib. Acoust., 135(4), 041001. https://doi.org/10.1115/1.4024433.