Effective AC response of nonlinear spherical coated composite

doi:10.1088/1674-1056/19/6/067202

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 67202-067202.doi: 10.1088/1674-1056/19/6/067202

Effective AC response of nonlinear spherical coated composite

王瑞¹, 陈小刚², 侯睿², 郝艳华³

(1)College of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot 010051, China; (2)College of Science, Inner Mongolia University of Technology, Hohhot 010051, China; (3)College of Science, Inner Mongolia University of Technology, Hohhot 010051, China;School of Mathematics and Computer Science, Shanxi Datong University, Datong 037009, China

收稿日期:2009-10-25 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
Project supported by the Natural Science Foundation of Inner Mongolia, China (Grant No.~200711020116), the Open Fund of the Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences (Grant No.~KLOCAW0805), the Research Fund of Higher Educ

Effective AC response of nonlinear spherical coated composite

Hao Yan-Hua(郝艳华)^a)c), Chen Xiao-Gang(陈小刚)^a)^†, Hou Rui(侯睿)^a), and Wang Rui(王瑞)^b)

^a College of Science, Inner Mongolia University of Technology, Hohhot 010051, China; ^b College of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot 010051, China; ^c School of Mathematics and Computer Science, Shanxi Datong University, Datong 037009, China

Received:2009-10-25 Online:2010-06-15 Published:2010-06-15
Supported by:
Project supported by the Natural Science Foundation of Inner Mongolia, China (Grant No.~200711020116), the Open Fund of the Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences (Grant No.~KLOCAW0805), the Research Fund of Higher Educ

摘要/Abstract

摘要： An effective nonlinear response of a nonlinear composite with spherical coated inclusions randomly embedded in a host medium under the action of an external AC electric field, {{\bm E}}_a = {{\bm E}}_1 \sin (\omega t) + {{\bm E}}_3 \sin (3\omega t), is investigated using a perturbation method. The local potentials of the composite at higher harmonics are given both in the region of local inclusion particles and in the local host region under the external AC electric field. All effective nonlinear responses of the composite and the relationship between the effective nonlinear responses at the fundamental frequency and third harmonics are also studied for spherical coated inclusion in a dilute limit.

Abstract: An effective nonlinear response of a nonlinear composite with spherical coated inclusions randomly embedded in a host medium under the action of an external AC electric field, $E_a = E_1 \sin (\omega t) + E_3 \sin (3\omega t)$, is investigated using a perturbation method. The local potentials of the composite at higher harmonics are given both in the region of local inclusion particles and in the local host region under the external AC electric field. All effective nonlinear responses of the composite and the relationship between the effective nonlinear responses at the fundamental frequency and third harmonics are also studied for spherical coated inclusion in a dilute limit.

Key words: nonlinear composite, effective nonlinear response, coated composite, AC electric field

中图分类号: (Microscopic defects (voids, inclusions, etc.))

61.72.Qq

72.20.Dp (General theory, scattering mechanisms) 72.80.Tm (Composite materials)

郝艳华, 陈小刚, 侯睿, 王瑞. Effective AC response of nonlinear spherical coated composite[J]. 中国物理B, 2010, 19(6): 67202-067202.

Hao Yan-Hua(郝艳华), Chen Xiao-Gang(陈小刚), Hou Rui(侯睿), and Wang Rui(王瑞). Effective AC response of nonlinear spherical coated composite[J]. Chin. Phys. B, 2010, 19(6): 67202-067202.

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Effective AC response of nonlinear spherical coated composite

Effective AC response of nonlinear spherical coated composite

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