TY  - EJOU
AU  - Xu, Ying 
AU  - Shen, gping 

TI  - Surface Electric Gibbs Free Energy and Its Effect on the Electromechanical Behavior of Nano-Dielectrics
T2  - Computers, Materials \& Continua

PY  - 2012
VL  - 28
IS  - 1
SN  - 1546-2226

AB  - 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.
KW  - Electric Gibbs free energy
KW  -  Surface effect
KW  -  Surface stress
KW  -  Surface polarization

DO  - 10.3970/cmc.2012.028.081