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1、MECHANICALPROPERTIESOFNANOTUBESBorisI.Yakobson*andAngelRubio***DepartmentofMechanicalEngineeringandMaterialsScience,andCenterforNanoscaleScienceandTechnology,RiceUniversity,Houston,U.S.A.**DepartamentoFísicaTeórica,UniversidaddeValladolid,SpainandDonostiaInter
2、nationalPhysicsCenter(DIPC)andCentroMixtoCSIC-UPV/EHUCONTENTS1.Introduction1.1Nanomechanicsataglance1.2Researchmotivations1.3Sectionoverview2.Basicsconceptsandmethodsinmaterialsmechanics2.1Basicmechanicalproperties:stiffness,strength,toughness2.2Modelingmethod
3、s3.Linearelasticityofnanotubes3.1Theoreticalresultsonelasticconstantsofnanotubes3.1.1ElasticstrainenergyandBxCyNznanotubes3.1.2Young’smodulusandPoissonratio3.1.3Torsion,bendingandbuckling:macroscopicelasticity3.2MeasurementsoftheYoung’smodulus4.Nonlinearelasti
4、cbehavior4.1Atomisticsimulationsandshellmodel4.2Experimentalevidenceofnanotuberesilience5.Strengthandfracture5.1Atomisticsofhighstrain-ratefailure5.2Yieldstrengthandrelaxationmechanisminnanotubes5.3Attemptsofstrengthmeasurements6.Miscellaneousphenomena6.1Elast
5、o-electronics6.2Compositetube-polymer6.3Cuttingnanotubes6.4Applications7.Acknowledgements8.References1.INTRODUCTIONWhilethepredictionofelectronicpropertiesofcarbonnanotubesrequiredrelativelysubtletheoreticalanalysis(cf.ChapterVI),theiruniquemechanicalbehaviorc
6、ouldbeintuitivelyanticipatedbasedonseveralfeatures:strengthofcarbonbonds,theiruniformarrangementwithinthegraphiticsheet,andtheseamlessfoldingofthisnetworkintoatubule(Ross,1991;Calvert,1992).Asaresult,theresearchinthisfieldwaslessofadiscoverytype,buthasratherbe
7、endrivenbythedemandfortheexperimentalandtheoreticalevidencetosupportandquantifysomewhatexpectedproperties.Thisisnottosaythattoobtainthereliableunderstandingandquantitativedataiseasier;inopposite,thatrequiredsophisticatedexperimentaltechniques(duetodifficulties
8、tomanipulatewithmolecular-sizeobject)andtheoreticalmethods(neededfortreatmentofmulti-atomicsystemsandespeciallyoftheirkineticbehavior).Still,forthatveryreason,wemakeanattemptofalog
