Response of a wire rope strand to axial and torsional loads Asymptotic modeling of the effect of interwire contact deformations (1)

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1、InternationalJournalofSolidsandStructures48(2011)1413–1423ContentslistsavailableatScienceDirectInternationalJournalofSolidsandStructuresjournalhomepage:www.elsevier.com/locate/ijsolstrResponseofawireropestrandtoaxialandtorsionalloads:Asymptoticmodelingoftheeffectofi

2、nterwirecontactdeformations1IvanArgatovMondragonGoiEskolaPoliteknikoa,MondragonUnibertsitatea,Loramendi4,20500Arrasate-Mondragon,SpainarticleinfoabstractArticlehistory:Therefineddiscretemathematicalmodelofasimplehelicalwireropestrandisdeveloped.TheeffectoftheReceived

3、5July2010transversecontractionofthewirestrandthroughPoisson’sratioandalsothroughlocalcontactdeforma-Receivedinrevisedform8January2011tions(wireflattening)hasbeenstudiedindetail.InordertoexpresstheinterwirecontactdeformationinAvailableonline28January2011termsofthepara

4、metersdescribingthestranddeformation,weformulateatwo-dimensionalmodelinter-wirecontactproblem.TheinterwirecontactinteractionistreatedasafrictionlessunilateralplainstrainKeywords:problem.ThenonlinearmodelinterwirecontactproblemhasbeensolvedbythemethodofmatchedWirestr

5、andasymptoticexpansions.Theconstitutiveequationsforahelicalwireropestrand,whichtakeintoaccountInterwirecontactproblemboththePoisson’sratioeffectandtheeffectofcontactdeformation,areobtainedinaclosedform.AsymptoticmodelÓ2011ElsevierLtd.Allrightsreserved.1.Introduction

6、realcases(absenceoffrictionbetweenwires,smalldisplacementsandstrains),allowananalyticalapproachtotheproblemofevalu-Theconstructionofflexiblestrandedwireropes,obtainedbyatingtheglobalmechanicalresponseofwireropeshavebeenwrappingwireshelicallyonacentralwirecalledthecor

7、e,withspi-developed.Themechanicalbehaviorofstrandedsystemssuchasralsthatcaninturnbewrappedonacentralstrandtoformvariouswireropesisusuallystudiedusingdiscretemodels,inwhichindi-layers,determinesaverycomplexhierarchicalstructure,whichvidualequationsareestablishedforea

8、chwire.Oneofthefirstana-exhibitsanextremelycomplexinnerstressstatewithintheassem-lyticalmodelsbasedonatheoryforcurvedrodswasproposedbyblage