Effect of deformation mechanisms on in-plane wave propagation in periodic cellular materials

References

• Alkhader M, Iyer S, Shi W, et al. Low frequency acoustic characteristics of periodic honeycomb cellular cores: The effect of relative density and strain fields. Compos Struct. 2015;133:77–84.
   Web of Science ®Google Scholar
• Mukherjee S, Scarpa F, Gopalakrishnan S. Phononic band gap design in honeycomb lattice with combinations of auxetic and conventional core. Smart Mater Struct. 2016;25:054011.
   Web of Science ®Google Scholar
• Ahmed A, Alkhader M, Abu-Nabah B. In-plane elastic wave propagation in aluminum honeycomb cores fabricated by bonding corrugated sheets. J Sandw Struct Mater. 2017;21:2949–2974.
   Web of Science ®Google Scholar
• Thwaites S, Clark N. Non-destructive testing of honeycomb sandwich structures using elastic waves. J Sound Vib. 1995;187:253–269.
   Web of Science ®Google Scholar
• Bertoldi K, Boyce M. Mechanically triggered transformations of phononic band gaps in periodic elastomeric structures. Phys Rev B. 2008;77:052105.
   Web of Science ®Google Scholar
• Ruzzene M, Scarpa F, Soranna F. Wave beaming effects in two-dimensional cellular structures. Smart Mater Struct. 2003;12:363.
   Web of Science ®Google Scholar
• Gonella S, Ruzzene M. Analysis of in-plane wave propagation in hexagonal and re-entrant lattices. J Sound Vib. 2008;312:125–139.
   Web of Science ®Google Scholar
• Phani AS, Woodhouse J, Fleck N. Wave propagation in two-dimensional periodic lattices. J Acoust Soc Am. 2006;119:1995–2005.
   PubMed Web of Science ®Google Scholar
• Alkhader M, Abu-Nabah B, Elyoussef M, et al. Design of honeycomb structures with tunable acoustic properties. MRS Adv. 2019;4:2409–2418. Epub 09/17.
   Web of Science ®Google Scholar
• Sharma BL. On linear waveguides of zigzag honeycomb lattice. Waves Random Complex Media. 2018;28:96–138.
   Web of Science ®Google Scholar
• Ruzzene M, Scarpa F. Directional and band-gap behavior of periodic auxetic lattices. Phys Status Solidi. 2005;242:665–680.
   Web of Science ®Google Scholar
• Meng J, Deng Z, Zhang K, et al. Wave propagation in hexagonal and re-entrant lattice structures with cell walls of non-uniform thickness. Waves Random Complex Media. 2015;25:223–242.
   Web of Science ®Google Scholar
• Spadoni A, Ruzzene M, Gonella S, et al. Phononic properties of hexagonal chiral lattices. Wave Motion. 2009;46:435–450.
   Web of Science ®Google Scholar
• Meng J, Deng Z, Zhang K, et al. Band gap analysis of star-shaped honeycombs with varied Poisson’s ratio. Smart Mater Struct. 2015;24:095011.
   Web of Science ®Google Scholar
• Liu Y, Sun X-Z, Chen S-T. Band gap structures in two-dimensional super porous phononic crystals. Ultrasonics. 2013;53:518–524.
   PubMed Web of Science ®Google Scholar
• Reda H, Elnady K, Ganghoffer J, et al. Wave propagation in pre-deformed periodic network materials based on large strains homogenization. Compos Struct. 2018;184:860–871.
   Web of Science ®Google Scholar
• Abedinnasab MH, Hussein MI. Wave dispersion under finite deformation. Wave Motion. 2013;50:374–388.
   Web of Science ®Google Scholar
• Cui H, Hensleigh R, Yao D, et al. Three-dimensional printing of piezoelectric materials with designed anisotropy and directional response. Nat Mater. 2019;1.
   Google Scholar
• Iyer S, Alkhader M, Venkatesh TA. On the relationships between cellular structure, deformation modes and electromechanical properties of piezoelectric cellular solids. Int J Solids Struct. 2016;80:73–83.
   Web of Science ®Google Scholar
• Gibson L J, Ashby MF. Cellular solids: structure and properties. 1997.
   Google Scholar
• Deshpande VS, Ashby MF, Fleck NA. Foam topology: bending versus stretching dominated architectures. Acta Mater. 2001;49:1035–1040.
   Web of Science ®Google Scholar
• Alkhader M, Vural M. The partition of elastic strain energy in solid foams and lattice structures. Acta Mater. 2009;57:2429–2439.
   Web of Science ®Google Scholar
• Alkhader M, Vural M. Mechanical response of cellular solids: role of cellular topology and microstructural irregularity. Int J Eng Sci. 2008;46:1035–1051.
   Web of Science ®Google Scholar
• Bathe K-J. Finite element procedures. Klaus-Jurgen Bathe; 2006.
   Google Scholar
• Brillouin L. Wave propagation in periodic structures: electric filters and crystal lattices. New York: DoverPublications; 2003.
   Google Scholar
• Achenbach J. Wave propagation in elastic solids. Amsterdam: Elsevier; 2012.
   Google Scholar