Eshelby's method for unidirectional periodic composites

doi:10.1016/j.physb.2023.415351

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	Eshelby's method for unidirectional periodic composites
	Gu, Guo-Qing 1; Wei, En-Bo 2
	2023-12-01
发表期刊	PHYSICA B-CONDENSED MATTER
ISSN	0921-4526
卷号	670 页码:5
通讯作者	Wei, En-Bo(ebwei@qdio.ac.cn)
摘要	Open boundary conditions are always used to investigate the effective properties of composites. In this paper, Eshelby's transformation field method is developed to deal with the effective responses of the unidirectional periodic composites having an open boundary. In this method, Hermite polynomials are chosen to cope with the open boundary conditions of the perturbation fields induced by inclusions. The transformation fields are introduced in the composite system to meet the interface conditions between the complex structure inclusions and the matrix. As an example, the formulas of Eshelby's method are derived for calculating the effective responses of the two-dimensional unidirectional periodic dielectric composites having an open boundary. The validity is verified by comparing the effective responses calculated by the method with the exact solutions of dilute limit. It is shown that the method is valid to solve the open boundary problem of the unidirectional periodic composites having complex geometric inclusions.
关键词	Transformation field Open boundary Effective dielectric property Unidirectional periodic composites
DOI	10.1016/j.physb.2023.415351
收录类别	SCI
语种	英语
资助项目	National Nature Science Foundation of China[42276178]
WOS研究方向	Physics
WOS类目	Physics, Condensed Matter
WOS记录号	WOS:001097835000001
出版者	ELSEVIER
WOS关键词	EFFECTIVE MODULI ; ELASTIC FIELD ; INCLUSION ; TENSOR
引用统计
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/183922
专题	实验海洋生物学重点实验室
通讯作者	Wei, En-Bo
作者单位	1.East China Normal Univ, Sch Comp Sci & Technol, Shanghai 200062, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Qingdao Natl Lab Marine Sci & Technol, Qingdao 266071, Peoples R China
通讯作者单位	中国科学院海洋研究所
推荐引用方式 GB/T 7714	Gu, Guo-Qing,Wei, En-Bo. Eshelby's method for unidirectional periodic composites[J]. PHYSICA B-CONDENSED MATTER,2023,670:5.
APA	Gu, Guo-Qing,&Wei, En-Bo.(2023).Eshelby's method for unidirectional periodic composites.PHYSICA B-CONDENSED MATTER,670,5.
MLA	Gu, Guo-Qing,et al."Eshelby's method for unidirectional periodic composites".PHYSICA B-CONDENSED MATTER 670(2023):5.