Abstract
For a nano-sized piezoelectric film, the surface free energy at the surface/interface will exert great effect on the behavior of nano-sized piezoelectric structures. This paper concerns the effect of surface free energy at the surface/interface of square nanofibers on the electro-mechanical behavior of a piezoelectric thin film under anti-plane shear. Combining the electro-elastic surface/interface theory, the mapping method and the generalized self-consistent method, a closed-form solution of the effective electro-elastic moduli is obtained. Numerical examples are given to illustrate quantitatively the macro-effective electro-elastic moduli under different surfaces/interfaces when the size of the square nanofibers is on the order of nanometer. The effect of shape of square nanofibers on the effective electro-elastic moduli is also examined.
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