a Department of Mathematics, Ningbo University of Technology, Ningbo, 315010, China; b Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, China; c Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, China； Graduate School Of the Chinese Academy of Sciences, Beijing, 100039, China
Abstract An effective nonlinear alternative-current (AC) response to granular nonlinear-composite with spherical inclusions embedded in a host medium under the action of an external AC field is investigated by using a perturbation approach. The local potentials of composite at higher harmonics are derived both in a region of local inclusion particles and in a local host region under the action of a sinusoidal field E1sinωt +E3sin3ωt, with frequencies ω and 3ω. An effective nonlinear-response to composite and the relationship between the effective nonlinear-responses at the fundamental frequency and the third harmonics are also studied for the spherical inclusions in a dilute limit.
Received: 02 December 2004
Revised: 12 January 2005
Accepted manuscript online:
Fund: Project supported by the National High Technology Development Program of China (Grant No 2002AA639270), and the National Natural Science Foundation of China (Grant Nos 40476062 and 10374026).
Cite this article:
Chen Xiao-Gang (陈小刚), Liang Fang-Chu (梁方楚), Wei En-Bo (魏恩泊) Effective nonlinear AC response to composite with spherical particles 2005 Chinese Physics 14 1217
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