Open Access

ARTICLE

Surface Electric Gibbs Free Energy and Its Effect on the Electromechanical Behavior of Nano-Dielectrics

Ying Xu¹, Shengping Shen^1,2

1 State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University, 28 West Xianning Road, Xi’ an, Shaanxi 710049, PR China
2 Tel/Fax: 86-29-82660977; E-mail: sshen@mail.xjtu.edu.cn

Computers, Materials & Continua 2012, 28(1), 81-96. https://doi.org/10.3970/cmc.2012.028.081

Abstract

This paper considers the surface effect through the surface and bulk electric Gibbs free energy. The analytical expressions are derived for the effective elastic, dielectric and piezoelectric modulus for nano-structural elements in electromechanical coupling problems. Numerical examples for PZT are given to illustrate the size effects on the electromechanical properties of nano-particles, nano-wires and nano-films quantitatively. The solution shows that the electromechanical properties of piezoelectric nano-material are size-dependent but the size effects on the elastic property and dielectric property are different.

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Keywords

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