Surface Effect on Propagation of Surface Waves in a Dielectric Elastomer Half Space Subject to Biasing Fields

ZHOU Wei-jian; CHEN Wei-qiu

doi:10.3879/j.issn.1000-0887.2015.02.001

Volume 36 Issue 2

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ZHOU Wei-jian, CHEN Wei-qiu. Surface Effect on Propagation of Surface Waves in a Dielectric Elastomer Half Space Subject to Biasing Fields[J]. Applied Mathematics and Mechanics, 2015, 36(2): 119-127. doi: 10.3879/j.issn.1000-0887.2015.02.001

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Surface Effect on Propagation of Surface Waves in a Dielectric Elastomer Half Space Subject to Biasing Fields

doi: 10.3879/j.issn.1000-0887.2015.02.001

Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, P.R.China

Funds: The National Natural Science Foundation of China（11272281；11321202）

Received Date: 2014-11-20
Publish Date: 2015-02-15

Abstract

Abstract

The thin surface layer model was used to establish the 1st-order equivalent boundary conditions to account for the surface effect of dielectric elastomers. Based on the linear incremental theory of infinitesimal motions superimposed on the finite deformation of an electroelastic body, the equivalent boundary conditions were rigorously derived with the Stroh formula and the Ting method. The Stroh formalism was further used to deduce the governing equations for surface waves involving the surface effect. For compressible Neo-Hookean dielectric elastomers, the dispersion equations for the Love waves and generalized Rayleigh waves were derived and investigated numerically. It is found that the two types of waves are decoupled from each other, as in the classical cases. Different from the classical Rayleigh waves, the generalized Rayleigh waves with surface effect are size-dependent and uniqueness of the Rayleigh wave no longer exists. Numerical results indicate that it is possible to regulate and optimize the surface acoustic wave devices through application of appropriate biasing fields.
- dielectric elastomer,
- surface effect,
- biasing field,
- Love wave,
- Rayleigh wave

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References(23)

References

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