@Article{cmc.2012.028.081,
AUTHOR = {Ying Xu, Shengping Shen},
TITLE = {Surface Electric Gibbs Free Energy and Its Effect on the Electromechanical Behavior of Nano-Dielectrics},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {28},
YEAR = {2012},
NUMBER = {1},
PAGES = {81--96},
URL = {http://www.techscience.com/cmc/v28n1/27860},
ISSN = {1546-2226},
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.},
DOI = {10.3970/cmc.2012.028.081}
}