TY - JOUR
T1 - Micromechanics of ferroelectric domain switching behavior. Part II
T2 - Constitutive relations and hysteresis
AU - Lu, W.
AU - Fang, D. N.
AU - Hwang, K. C.
PY - 2001/12
Y1 - 2001/12
N2 - A constitutive relation is developed to describe the nonlinear behavior of ferroelectric ceramics subjected to external stress and electric field. The theoretical development considers each domain as an inclusion. The Helmholtz and Gibbs free energy of the constituent element are derived by using a micromechanics approach. They are functionals of the orientation distribution function (ODF) that represents the domain distribution patterns. By applying the internal variable theory and expanding ODF in Fourier series, the yield condition, evolution of ODF, and constitutive relation are obtained. Theoretical results agree with experiments.
AB - A constitutive relation is developed to describe the nonlinear behavior of ferroelectric ceramics subjected to external stress and electric field. The theoretical development considers each domain as an inclusion. The Helmholtz and Gibbs free energy of the constituent element are derived by using a micromechanics approach. They are functionals of the orientation distribution function (ODF) that represents the domain distribution patterns. By applying the internal variable theory and expanding ODF in Fourier series, the yield condition, evolution of ODF, and constitutive relation are obtained. Theoretical results agree with experiments.
UR - http://www.scopus.com/inward/record.url?scp=0035696533&partnerID=8YFLogxK
U2 - 10.1016/S0167-8442(01)00083-0
DO - 10.1016/S0167-8442(01)00083-0
M3 - Article
AN - SCOPUS:0035696533
SN - 0167-8442
VL - 37
SP - 39
EP - 47
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
IS - 1-3
ER -