Journal
PHYSICS LETTERS A
Volume 376, Issue 4, Pages 605-609Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2011.11.043
Keywords
Phononic crystals; Elastic wave band structure; Multiple scattering theory; Interface/surface elasticity
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Funding
- National Natural Science Foundation of China [90916007]
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In the present Letter, the multiple scattering theory (MST) for calculating the elastic wave band structure of two-dimensional phononic crystals (PCs) is extended to include the interface/surface stress effect at the nanoscale. The interface/surface elasticity theory is employed to describe the nonclassical boundary conditions at the interface/surface and the elastic Mie scattering matrix embodying the interface/surface stress effect is derived. Using this extended MST, the authors investigate the interface/surface stress effect on the elastic wave band structure of two-dimensional PCs, which is demonstrated to be significant when the characteristic size reduces to nanometers. (C) 2011 Elsevier B.V. All rights reserved.
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