液晶的建模、數(shù)值計(jì)算及應(yīng)用.pdf

1、復(fù)旦大學(xué)碩士學(xué)位論文液晶的建模、數(shù)值計(jì)算及應(yīng)用姓名：胡挺申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：一般力學(xué)與力學(xué)基礎(chǔ)指導(dǎo)教師：陸章基20030520AbstractlnthelastseveraIyearsLiquidCrystalshavegeneratedsignificantInterestamongscientistsbecause，asnewphotoelectricmaterialsandhighstrengthcomplexmaterial

2、s，itcouldbeusedinmanyfieldsButduetotheircomplicatedmicrostructuresandaninterdisciplinaryproject，theinvestigationonIiquidcrystalsiSiustintheascendanfonbothacademicresearchandindustriaIapplicationInthepresentarticleweexplo

3、redsyntheticallythewaystoinvestigatethemechanicaIandrheologicalpropertiesofLiquidCrystalsandothermultiplexmaterialsFirsttwomechanicaImodelsforLiquidCrystalsarepresentedandthegeneralexpressionoffreeenergyiSbroughtforwardW

4、ediscussthesyntheticeffectofthewallsandmagneticfieldtotheliquidcrystalsofellipsoidmoleculebymeansofthemicropolarliquidcrystaImodelapplyingperpendicularboundaryconditionsThemainresultsaregettingtheexpressionoffreeenergyfo

5、rliquidcrystalsofellipsoidmolecule，obtainingtheanalyticsresolutionofcriticaImagneticfieldandangleoforientationNumericaIcalculationiSdoneTherelationsoftwomodelsareobtainedwhichrevealsthattheLEmodelISaspeciaIcaseofEmodelIn

6、thiscaseDisperseofLCgroupinfiuencestheFreededcksztransitionSecondthemechanicalmodelsforphase—separationprocessinproducingmultiplexmaterialsiSestablishedCalculationsandsimulationsarealsodoneAone—dimensionaImodeIconsiderin

7、gpolymericreactioniSusedtosimulatethephase—separationprocessinproducingPhaseSeparatedCompositeFmsfPSCOF)Duetononlinearcharacteristicsoftheequationsystemandtheconservationofonecomponent，animproveddifferenceschemeandaspeci

8、aIboundaryconditionareintroducedtoassuredtheconvergenceofthenumericaIsimulationThustheevolutionofLC／polymerratiointhemixtureiSpresentedThiscoincideswiththeresultofexperimentThedependenceoftheproducingtimeonRiSstudled，whe

9、reRreflectstheintensionoftheiIluminationandtherateofthepolymerizationThereiSthepowerfunctionIawinthetwoquantitiesThedependenceoftheproducingtimeontheinRialratioofmixture(由o／1lF0)iSalsoobtainedTheabovedependenceiSverycomp

10、lexandsensitivetoLfthetelativeabsorptionlengthofIightjnLC)。Acoupledtime—depended—Ginzburg—LandauequationforcompositionalparameterandorientationaIOrderparameterwasintroducedintosimulatingthephase—separationprocessinproduc

11、ingPolymerDispersedLiquidCrystals(PDLC)WeuseCelIDynamicalSystem(CDS)numericalalgonthmstomakecalculationsThustheevolutionofLCratiointhemixtureiSpresentedbothcoupledorientationaIOrderparameterincompositionaIparameterandwit