Effect of eddy current damping on phononic band gaps generated by locally resonant periodic structures

In this study, we investigate band structures of phononic crystals with particular emphasis on the effects of the mass density ratio and of the contrast of elastic constants. The phononic crystals consist of arrays of different media embedded in a rubber or epoxy. It is shown that the density ratio rather than the contrast of elastic constants is the dominant factor that opens up phononic band gaps. The physical background of this observation is explained by applying the theory of homogenization to investigate the group velocities of the low-frequency bands at the center of symmetry Γ.

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Phononic band gaps of elastic periodic structures: A homogenization theory study

Physical Review B ◽

10.1103/physrevb.75.054104 ◽

2007 ◽

Vol 75 (5) ◽

Cited By ~ 19

Author(s):

Ying-Hong Liu ◽

Chien C. Chang ◽

Ruey-Lin Chern ◽

C. Chung Chang

Keyword(s):

Periodic Structures ◽

Band Gaps ◽

Homogenization Theory ◽

Phononic Band Gaps

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Shape transformers for phononic band gaps tuning in two-dimensional Bloch-periodic lattice structures

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2021.104278 ◽

2021 ◽

Vol 89 ◽

pp. 104278 ◽

Cited By ~ 1

Author(s):

Victor E.L. Gasparetto ◽

Mostafa S.A. ElSayed

Keyword(s):

Band Gaps ◽

Periodic Lattice ◽

Lattice Structures ◽

Two Dimensional ◽

Phononic Band Gaps

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MODIFICATION OF CASIMIR FORCES DUE TO BAND GAPS IN PERIODIC STRUCTURES

International Journal of Modern Physics A ◽

10.1142/s0217751x02010145 ◽

2002 ◽

Vol 17 (06n07) ◽

pp. 798-803 ◽

Cited By ~ 7

Author(s):

C. VILLARREAL ◽

R. ESQUIVEL-SIRVENT ◽

G. H. COCOLETZI

Keyword(s):

Density Of States ◽

Casimir Force ◽

Periodic Structures ◽

Local Density ◽

Band Gaps ◽

Basic Unit ◽

Local Density Of States ◽

Casimir Forces ◽

Unit Cells ◽

The Difference

The Casimir force between inhomogeneous slabs that exhibit a band-like structure is calculated. The slabs are made of basic unit cells each made of two layers of different materials. As the number of unit cells increases the Casimir force between the slabs changes, since the reflectivity develops a band-like structure characterized by frequency regions of high reflectivity. This is also evident in the difference of the local density of states between free and boundary distorted vacuum, that becomes maximum at frequencies corresponding to the band gaps. The calculations are restricted to vacuum modes with wave vectors perpendicular to the slabs.

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