Journal
MECHANICS RESEARCH COMMUNICATIONS
Volume 46, Issue -, Pages 81-89Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2012.09.002
Keywords
Phononic crystal; Nanoscale; Surface/interface effect; Bandgap; Dirichlet-to-Neumann map
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Funding
- National Natural Science Foundation of China [10902012, 11202021]
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The band structures of transverse waves propagating in a two-dimensional phononic crystal composed of nanosized holes or elastic inclusions embedded in an elastic solid is calculated using the method based on the Dirichlet-to-Neumann map. The surface/interface effect of the nanosized holes/inclusions are taken into account by assuming the Young-Laplace equation at the surface/interface. Both square and triangular lattices are considered. Detailed calculations are presented for two cases: a square or triangular lattice of nanosized holes in an aluminum host and a square or triangular lattice of aluminum inclusions in a tungsten host. The results show that the consideration of the surface/interface effect is significant for nanosized phononic crystals. (C) 2012 Elsevier Ltd. All rights reserved.
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