کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1544680 | 1512895 | 2013 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Bandgap calculation of in-plane waves in nanoscale phononic crystals taking account of surface/interface effects Bandgap calculation of in-plane waves in nanoscale phononic crystals taking account of surface/interface effects](/preview/png/1544680.png)
• The DtN-map method is extended to research the in-plane waves in nanoscale PNCs.
• We generalize a surface parameter to characterize the surface/interface effects.
• The surface/interface effects have significant influences on the band structures.
In the present paper, the band structures of in-plane waves propagating in two-dimensional nanoscale phononic crystals composed of voids/inclusions in an elastic solid in square and triangular lattices are calculated by the method based on the Dirichlet-to-Neumann map. The surface/interface effects are taken into account due to the high surface-to-volume ratio by applying the Young–Laplace equilibrium equation at the surface/interface. Three systems at nanoscale are calculated in details: vacuum holes in an aluminum matrix in square and triangular lattices, aluminum cylinders in tungsten matrix in a square lattice, and tungsten cylinders in aluminum in a square lattice. The results show that the surface/interface effects are significant when the dimensions of the phononic crystals approach the nanometer scale.
The band structures of the PNC of a square lattice of vacuum cylindrical holes in aluminum matrix without (black) and with (red) the surface effect.Figure optionsDownload as PowerPoint slide
Journal: Physica E: Low-dimensional Systems and Nanostructures - Volume 54, December 2013, Pages 125–132