TY - JOUR
T1 - Mean field theory for weakly nonlinear composites
AU - Zeng, X. C.
AU - Hui, P. M.
AU - Bergman, D. J.
AU - Stroud, D.
N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].
PY - 1989/5/1
Y1 - 1989/5/1
N2 - We discuss the nonlinear behavior of a random composite material characterized by a weakly nonlinear relation between the electric displacement of the form D = ε{lunate}E + χ|E|2E, where ε{lunate} and χ are position dependent. A general expression for the effective nonlinear susceptibility to first order in the nonlinear susceptibility of the constituents in the composite is given. A general method of approximation is introduced which gives the effective nonlinear susceptibility in terms of the solution of the linear dielectric function of the random composite. Various applications of the proposed approximation are demonstrated. © 1989.
AB - We discuss the nonlinear behavior of a random composite material characterized by a weakly nonlinear relation between the electric displacement of the form D = ε{lunate}E + χ|E|2E, where ε{lunate} and χ are position dependent. A general expression for the effective nonlinear susceptibility to first order in the nonlinear susceptibility of the constituents in the composite is given. A general method of approximation is introduced which gives the effective nonlinear susceptibility in terms of the solution of the linear dielectric function of the random composite. Various applications of the proposed approximation are demonstrated. © 1989.
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U2 - 10.1016/0378-4371(89)90300-2
DO - 10.1016/0378-4371(89)90300-2
M3 - RGC 21 - Publication in refereed journal
SN - 0378-4371
VL - 157
SP - 192
EP - 197
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -