Abstract
We investigate the band structure of elastic waves propagating in carbon nanostructure phononic crystals with square, rectangular, triangular, honeycomb and Kagome lattices. We also study the influence of carbon nanostructure cross section geometry - circular, hollow circular, square and rotated square with a 45° angle of rotation with respect to the x and y axes. Plane wave expansion method is used to solve the governing equations of motion of a isotropic solid based on classical elasticity theory, ignoring nanoscopic size effects, considering two-dimensional periodicity and wave propagation in the xy plane. Complete band gaps between XY and Z modes are observed for all types of carbon nanostructures. The best performance is for nanophononic crystal with circular carbon nanostructures in a triangular lattice with high band gap width in a broad range of filling fraction. We suggest that carbon nanostructure phononic crystals are feasible for elastic vibration management in GHz.
Highlights
Artificial periodic composites known as phononic crystals (PCs) have been quite studied[1,2,3,4,5,6,7,8,9,10,11,12,13,14]
Novel physical properties of PCs arise from the possibility of creating phononic band gaps and negative refraction[4]
The main purpose of this study is to investigate the elastic band structure, known as dispersion relation, of carbon nanostructure/epoxy PCs with wave propagation in the xy plane and two-dimensional periodicity in a square, rectangular, triangular, honeycomb and Kagomé lattices
Summary
Artificial periodic composites known as phononic crystals (PCs) have been quite studied[1,2,3,4,5,6,7,8,9,10,11,12,13,14]. They are created by arranging periodically two or more materials with different vibrational properties. Phononic band gaps are similar to electronic and photonic band gaps in semiconductors and photonic crystals[15,16], respectively
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