Band-gaps in electrostatically controlled dielectric laminates subjected to incremental shear motions
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- 作者：Gal Shmuel ; Gal deBotton
- 关键词：Dielectric elastomers ; Wave propagation ; Finite deformations ; Thickness vibrations ; Non-linear electroelasticity ; Band-gap ; Composite ; Bloch-Floquet analysis
- 刊名：Journal of the Mechanics and Physics of Solids
- 出版年：2012
- 出版时间：November, 2012
- 年：2012
- 卷：60
- 期：11
- 页码：1970-1981
- 全文大小：903 K
文摘
The thickness vibrations of a finitely deformed infinite periodic laminate made out of two layers of dielectric elastomers is studied. The laminate is pre-stretched by inducing a bias electric field perpendicular to the layers. Incremental time-harmonic fields superimposed on the initial finite deformation are considered next. Utilizing the Bloch-Floquet theorem along with the transfer matrix method we determine the dispersion relation which relates the incremental fields frequency and the phase velocity.
Ranges of frequencies at which waves cannot propagate are identified whenever the Bloch-parameter is complex. These band-gaps depend on the phases properties, their volume fraction, and most importantly on the electric bias field. Our analysis reveals how these band-gaps can be shifted and their width can be modified by changing the bias electric field. This implies that by controlling the electrostatic bias field desired frequencies can be filtered out. Representative examples of laminates with different combinations of commercially available dielectric elastomers are examined.