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