Bounds on the Conductivity of a Random Array of Cylinders.pdf

Bounds on the Conductivity of a Random Array of Cylinders.pdf

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1、BoundsontheConductivityofaRandomArrayofCylindersS.Torquato;F.LadoProceedingsoftheRoyalSocietyofLondon.SeriesA,MathematicalandPhysicalSciences,Vol.417,No.1852.(May9,1988),pp.59-80.StableURL:http://links.jstor.org/sici?sici=0080-4630%2819880509%29417%3A1852%3C59%3ABOTCOA%3E2.0.CO%3B2-GProceedings

2、oftheRoyalSocietyofLondon.SeriesA,MathematicalandPhysicalSciencesiscurrentlypublishedbyTheRoyalSociety.YouruseoftheJSTORarchiveindicatesyouracceptanceofJSTOR'sTermsandConditionsofUse,availableathttp://www.jstor.org/about/terms.html.JSTOR'sTermsandConditionsofUseprovides,inpart,thatunlessyouhave

3、obtainedpriorpermission,youmaynotdownloadanentireissueofajournalormultiplecopiesofarticles,andyoumayusecontentintheJSTORarchiveonlyforyourpersonal,non-commercialuse.Pleasecontactthepublisherregardinganyfurtheruseofthiswork.Publishercontactinformationmaybeobtainedathttp://www.jstor.org/journals/

4、rsl.html.EachcopyofanypartofaJSTORtransmissionmustcontainthesamecopyrightnoticethatappearsonthescreenorprintedpageofsuchtransmission.TheJSTORArchiveisatrusteddigitalrepositoryprovidingforlong-termpreservationandaccesstoleadingacademicjournalsandscholarlyliteraturefromaroundtheworld.TheArchiveis

5、supportedbylibraries,scholarlysocieties,publishers,andfoundations.ItisaninitiativeofJSTOR,anot-for-profitorganizationwithamissiontohelpthescholarlycommunitytakeadvantageofadvancesintechnology.FormoreinformationregardingJSTOR,pleasecontactsupport@jstor.org.http://www.jstor.orgTueMar2515:44:46200

6、8Proc.R.Soc.Lond.A417,59-80(1988)PrintedinGreatBritainBoundsontheconductivityofarandomarrayofcylindersDepartmentsofMechanicalandAerospaceEngineeringandofChemicalEngineering,NorthCarolinaStateUniversity,Raleigh,NorthCarolina27695-7910,U.S.A.DepartmentofPhysics,NorthCarolinaStateUniversity,Raleig

7、h,NorthCarolina27695-8202,U.S.A.(CommunicatedbyM.E.Fisher,F.R.S.-Received30June1987-Revised10September1987)Weconsidertheproblemofdeterminingrigorousthird-orderandfourth-orderboundsontheeffectiveconductivityreofacompositematerialco

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