多尺度逐次均勻法及其在新材料中應(yīng)用的研究.pdf

1、湘潭大學(xué)博士學(xué)位論文多尺度逐次均勻法及其在新材料中應(yīng)用的研究姓名：尹久仁申請學(xué)位級別：博士專業(yè)：一般力學(xué)與力學(xué)基礎(chǔ)指導(dǎo)教師：張平20081119湘潭大學(xué)博士學(xué)位論文AbstractAbstractTheaimofthisthesisisstudyingmultiscalelinklevelmechanicalpropertiesapplicationofthenanocompositematerial.Supptingofthevari

2、ouskindsofnanocompositewhicharemadebyourtopicsetespeciallythenylon6silicondioxidenanocompositeConsideringacteristicsofthosemultiscalelinklevelmicrostructuresthatwasfamiliarfullblowninresearchconstructdecomposeofnanocompo

3、sitewasestablisheddependingonsizeofmicrostructuresthebasicmechanicalquantitiesofmicrostructuresofthemacroscopicalmesoscopicalmicrocosmicsystemwasacterized.advicesofcontrolequationsofmicrostructuresineverylevelwasgivefhom

4、ogeneousmediumheterospheremediumperiodicmedium.Therelatedmethodoflinkvariouslevelswasestablished.Therefethemultiscalelinklevelhomogeneousmethodwasestablished.Accountftheconvenienceinthisthesisthenylon6silicondioxidenanoc

5、ompositewasdividedintothreelevelssuchasmacroscopicalmesoscopicalmicrocosmiclevel.Themediumofeachphaseinmesoscopicalmicrocosmiclevelwasabstractedascontinuumfullblownmesomechanicalmethodwasappliedinit.Bymeansoflinklevelequ

6、ivalentofsuccessivelevelhomogeneousthemacroequivalentmoduleofnylon6silicondioxidenanocompositewasobtainedfinally.BasedonitstheeticmodelthemacroYoung’smodulewascalculatedbythesoftwareMathematica6.0wascomparedwithExperimen

7、tresults.ItwasshownthatthetheeticresultwasapproximatelyagreedwithExperimentresultswhenthefractionofnanophaseinnanoscopiclevelwassmall.Itindicatethatsuccessivehomogeneousmethodwasacalculatedframewhichwaswthtosubstantiated

8、endlesslytoanalyzemultiscalesuccessivelevelproblems.Inthisthesisthesuccessivehomogeneousmethodwasappliedintwodimensionhoneycombcellularstructureinwhichthemicropolarelasticaltheywasintroducedtodescribetherotationofnodesin

9、macrolevel.FtwodimensionhoneycombcellularstructurebymeansofthebenddefmationofhoneycombwalltheGibbson’sfmulaofequivalentelasticparameterwasmodified.Adiscretemodewithhighercalculationaccuracywasestablishedtocalculatealarge

10、scalehoneycombstructure.Theresultindicatethattheregularhexagonhoneycombstructurehasisotropicequivalentelasticparameterswhichwasobtainedinclassicalelasticityimpossibly.Inthisthesisthethreephasemodelwithimperfectinterfaceo