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Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers
Yan P; Dong JS; Chen FL; Song F(宋凡); Yan, P (reprint author), Beihang Univ BUAA, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China.; Song, F (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China.
Source PublicationZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
2017-04-01
Volume97Issue:4Pages:397-413
ISSN0044-2267
AbstractWe present a complex variable method to evaluate the transverse effective transport properties of composites with a doubly-periodic array of fibers. The obtained complex variable solution is derived in a unified form for arbitrary doubly-periodic fiber arrays and different fiber-matrix interfaces i.e. perfect interface contact resistance interface and coating. The present method can be seen as an extension of the method originated by Rayleigh only for symmetric fiber arrays. The limitation of Rayleigh's method is overcome by introducing a supplementary equation. Explicit formulae of the effective transport properties approximated to finite orders are obtained which are written in a regular form for different fiber arrays and reveal the reciprocal relations for symmetric fiber arrays. The validity and accuracy of the solution are verified by numerical examples and comparisons with existing methods. (c) 2016 WILEY-VCH Verlag GmbH & Co. KGaA Weinheim
KeywordComposites Fiber Effective Transport Properties Complex Variable Method
DOI10.1002/zamm.201600084
Indexed BySCI
Language英语
WOS IDWOS:000398635000002
WOS KeywordEFFECTIVE THERMAL-CONDUCTIVITY ; CYLINDRICAL INCLUSIONS ; CIRCULAR-CYLINDERS ; RESISTANCE ; CELL
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
Funding OrganizationNational Natural Science Foundation of China(NNSFC 11302009) ; Aviation Science Foundation of China(2013ZBN3004) ; Fundamental Research Funds for the Central Universities ; Open Fund of LNM
DepartmentLNM生物材料微结构和力学性能
Classification二类
Ranking1
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/60561
Collection非线性力学国家重点实验室
Corresponding AuthorYan, P (reprint author), Beihang Univ BUAA, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China.; Song, F (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Yan P,Dong JS,Chen FL,et al. Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2017,97(4):397-413.
APA Yan P,Dong JS,Chen FL,宋凡,Yan, P ,&Song, F .(2017).Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,97(4),397-413.
MLA Yan P,et al."Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 97.4(2017):397-413.
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