泊松比与拉伸和旋转的内在联系

《泊松比与拉伸和旋转的内在联系》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、万方数据ABSTRACTABSTRACTPoisson’Sratio，togetherwithYoung’Smodulus，aretwoindependentmoduliofelasticitytocharacterizetheelasticbehaviourofisotropicmaterials．Poisson’Sratiod．iffersfromonematerialtoanotherdependingonthemicrostructure．SotheresearchofthemechanismofPoisson’Sratiofocu

2、sesonthedeformationofmicrostructure．espe—ciallytheexpansionandrotation．Beammodelandmass-springmodelareintroducedtosimulatethedeformationofstructureswhenstretched．Theresultsofthistwomod．elsareidenticalwhilecalculatingexpansionbutdifferentwhilebendingbecauseofthedifferentres

3、istancemethods．Incontrasttothedifferentbendingstiffness，thecorre．spondingdimensionisthesame．Nomatterwhichmodelischosen，theconclusionwillbeconsistentStartingfromthebasicstructures，orientationandmaterialpropertiesaswellascoordinationnumberareobtainedasthefactorsofPoisson’Sra

4、tiothoughsimulationofre—entrantunitstructure．TheformulationofPoisson’SratioisusedtofurtherexplorethemechanismandanewcalculmionbyadaptingtheLagrangestrainofradiusofgyra—tionisputforward．Thenewcalculationisthesamewiththetraditionalwaywhilethestructureisbigenough．Comparisonbe

5、tweenthenewcalculationandanotheroneusingtheLagrangestrainofborderisgiven，whichshowtheadvantageofthenewcalculation．TheinfluenceofexpansionandrotationonPoisson’Sratioisacqukeddeducingfromthenewcalculation．Expansionandrotationofconnectionsbetweenanytwopointsareneededaccording

6、totheinfluencewhichindicatesamodifiedway．AnegativePois—son’Sratioisgainedwhenthemodifiedexpansionislagerthanthemodifiedrotation，andapositivePoisson’SratioOCCurSwhenreversed．Materialpropertieshavedirecteffectsonbeamswhichcorrespondedgesactuallyconnectedbetweentwonodes．Asaco

7、nclusion，materialpropertiescontroltheexpansionandrotationofbeams，whichaffectthemodifiedexpansionandrotationofconnectionsofanytwonodesandfinallydecidePoisson’Sratio．Eigenmode，aclassicalmethodtostudydeformation，isemployedtoexplorethemechanismofPoisson’Sratio．Eigenmodesofnetw

8、orkbasedonbeammodelarecalcu-latedandthedeformationofnetworkwithuniaxialtensileismappedint