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1、OnSomeMechanicsProblemsinOneDimensionalNanostructureCarbonnanotubesandcoppernanowiresaresopromisingnano-componentsthattheirmechanicalpropertieshavereceivedmoreandmoreattentionoverthepastdecade.Instudyingthenano-components,moleculardynamicssimulationscanonlypredictthedyna
2、micsresultscasebycaseandcanhardlyrevealtherelationbetweenmultiplephysicalvariables.Ontheotherhand,itisstillanopenproblemwhetherthecontinuummechanicsisvalidtothosediscretenano-componentsbynature.Ifnot,isitpossibletogetanymodifiedapproachtodealwithnano-components?Theobject
3、iveofthisdissertationistocheckthevalidityofthecontinuummechanics,especiallythecontinuumdynamics,forthenano-structuresofonedimension,suchasthecarbonnanotubesandcoppernanowires,withhelpofmoleculardynamicssimulations.Thestudiespresentedinthedissertationineludethedispersiono
4、fbothflexuralandIongitudinalwavesincarbonnanotubes,thebucklingofbothsingle-walledandmulti-walledcarbonnanotubes,theimpactofcarbonnanotubeswitharigidwall,thesizeeffectontheeffectiveYoung'smodulusofcoppernanowires,thedynamicbucklingofcoppernanowiresandtheeffectoftemperatur
5、einnano-scaleproblems.Theresultsandthemaincontributionsofthedissertationareasfollowing.1.Theflexuralwavepropagationinsingle-walledcarbonnanotubeswasstudiedthroughtheuseofthecontinuummechanicsandthemoleculardynamicssimulationbasedontheTerroff-Brennerpotential.Thestudyfocu
6、sesonthewavedispersioncausednotonlybytherotaryinertiaandthesheardeformationinthemodelofatraditionalTimoshenkobeam,butalsobythenon-localelasticitycharacterizingthemicrostructureofacarbonnanotubeinawidefrequencyrangeuptoTHz.Forthispurpose,thestudystartswiththedynamicequati
7、onofageneralizedTimoshenkobeammadeofthenon-localelasticmaterial,andthengivesthedispersionrelationsoftheflexuralwaveinthenon-localelasticTimoshenkobeam,thetraditionalTimoshenkobeamandtheEulerbeam,respectively.Afterwards,itpresentsthemoleculardynamicssimulationsfortheflexu
8、ralwavepropagationinanarmchair(5,5)andanarmchair(10,10)single-walledcarbonnanotubesforawiderangeofwaven
