简介:Young’sequationisafundamentalequationincapillarityandwetting,whichreflectsthebalanceofthehorizontalcomponentsofthethreeinterfacialtensionswiththecontactangle(CA).However,itdoesnotconsidertheverticalcomponentoftheliquid-vaporinterfacialtension(VCLVIT).ItisnowwellunderstoodthattheVCLVITcausestheelasticdeformationofthesolidsubstrate,whichplaysasignificantroleinthefabricationofthemicrofluidicdevicesbecauseofthewideuseofthesoftmaterials.Inthispaper,thetheoretical,experimental,andnumericalaspectsoftheproblemarereviewed.TheeffectsoftheVCLVIT-inducedsurfacedeformationonthewettingandspreading,thedeflectionofthemicrocantilever,andtheelasto-capillarityandelectroelasto-capillarityarediscussed.Besidesabriefreviewonthehistoricaldevelopmentandtherecentadvances,somesuggestionsonthefutureresearcharealsoprovided.
简介:Theinteractionofanti-planeelasticSHwaveswithaperiodicarrayofinterfacecracksinamulti-layeredperiodicmediumisanalyzedinthispaper.AperfectperiodicstructurewithoutinterfacecracksisfirststudiedandthetransmissiondisplacementcoefficientisobtainedbasedonthetransfermatrixmethodinconjunctionwiththeBloch-Floquettheorem.Thisisthengeneralizedtoasingleandperiodicdistributionofcracksatthecenterinterfaceandtheresultiscomparedwiththatofperfectperiodiccaseswithoutinterfacecracks.Thedependenceofthetransmissiondisplacementcoefficientonthefrequencyoftheincidentwave,theinfluencesofmaterialcombination,crackconfigurationandincidentanglearediscussedindetail.Comparedwiththecorrespondingperfectperiodicstructurewithoutinterfacecracks,anewphenomenonisfoundintheperiodiclayeredsystemwithasingleandperiodicarrayofinterfacecracks.
简介:Thispaperpresentsanumericalsolutiontomodelmultiplecracksinafiniteplateofanelasticisotropicmaterial.Boththeboundariesandthecracksaremodeledbydistributeddislocations.ThismethodresultsinasystemofsingularintegralequationswithCauchykernelswhichcanbesolvedbyGauss-Chebyshevquadraturemethod.Fourexamplesareprovidedtoassessthecapabilityofthismethod.
简介:Inthelightofφ-mappingmethodandtopologicalcurrenttheory,thecontributionofdisclinationlinestofreeenergydensityofliquidcrystalsisstudiedinthesingle-elasticconstantapproximation.Itispointedoutthatthetotalfreeenergydensitycanbedividedintotwoparts.Oneistheusualdistortedenergydensityofdirectorfieldaroundthedisclinationlines.Theotheristhefreeenergydensityofdisclinationlinesthemselves,whichisshowntobecentralizedatthedisclinationlinesandtobetopologicallyquantizedintheunitofkπ/2.ThetopologicalquantumnumbersaredeterminedbytheHopfindicesandBrouwerdegreesofthedirectorfieldatthedisclinationlines,i.e.thedisclinationstrengths.FromtheLagrange'smethodofmultipliers,theequilibriumequationandthemolecularfieldofliquidcrystalsarealsoobtained.ThephysicalmeaningoftheLagrangianmultiplierisjustthedistortedenergydensity.
简介:为angle-interlockwoven的有弹性的行为分析的一个微机械模型陶器的composites在这篇论文被建议。这个模型由在空间,在邻近的纱之间的洞和纱的实际剖面图几何学认为纤维是波动和连续性考虑实际织物结构。基于laminate理论,编织的3D角度联锁的有弹性的性质陶器的composites被预言。交叉的纬的不同数字几乎有一样的有弹性的moduli。陶器的矩阵的厚度在有弹性的moduli上有小效果。当波动比率增加纵的模量减少和另外的幼仔的moduli增加时。在理论预言和试验性的结果之间的好同意在分析编织的3Dangle-interlock的有弹性的性质表明建议模型的可行性陶器的composites。这篇论文的结果验证分析聚酯矩阵composites的方法对编织陶器的composites合适的事实。
简介:Ananalyticalmodelisdevelopedtostudythesurfaceeffectsonthevibrationbehaviorincludingthenaturalfrequencyandthecriticalflowvelocityoffluid-conveyingnanotubesembeddedinanelasticmedium.TheeffectsofsurfaceelasticityandresidualsurfacestressareaccountedthroughthesurfaceelasticitymodelandtheYoung-Laplaceequation.AWinkler-typefoundationisemployedtomodeltheinteractionofnanotubesandthesurroundingmedium.Theresultsshowthatthesurfaceeffectshavemoreprominentinfluencesonthenaturefrequencywithsmallernanotubethickness,largeraspectratioandlargerelasticmediumconstants.Bothsurfacelayersandtheelasticmediumenhancethestabilityofnanotubes.Thisstudymightbehelpfulfordesigningthefluid-conveyingnanotubedevicesinNEMSandMEMSsystems.
简介:
简介:Volumetricelasticmodulus(VEM)isanimportantparameterinbiophysicsandbiomechanicsofplantsforinparticularunderstandingcellgrowth.ThispaperproposesanewrelationthatcanbeusedforpreciselydeterminingVEM.Withtheaidofthisrelation,itshowsthattheexponentialapproximationofthepressure-volumerelationshipadoptedinmostoftheliteraturesinthisfieldmayleadtoseriouserrorsonVEM.
简介:在这份报纸,到有弄弯的接触边界的有弹性的接触问题的线性有限元素近似被考虑。错误界限O(h[啜?])与为接触边界和平常的常规三角测量连续地可辨的twotimes的要求被获得,当时I.Hlavacek等。获得了错误界限O(h[啜?])与为接触边界和三角测量的额外的整齐连续地可辨的三次的要求(c.f[2])。[从作者抽象]
简介:Thispaperpresentsanexactsolutionofthecracktipfieldinfunctionallygradientmaterialwithexponentialvariationofelasticconstants.ThedimensionlessPoisson'sratiosv0oftheengineeringmaterials(iron,glass...)arefarlessthanone;therefore,neglectingthem,onecansimplifythebasicequationandtheexactsolutioniseasytoobtain.Althoughtheexactsolutionforthecasev0≠0isalsoobtained,itisverycomplicatedandthemainresultisthesamewiththecasev0=0(itwillbedealtwithinAppendixⅦ).Ithasbeenfoundthattheexponentialtermexp(ax+by)intheconstitutiveequationsbecomesexp(ax/2+by/2-kr/2)intheexactsolution.
简介:Ahigherorderasymptoticsolutionofnear-tipfieldisstudiedforplane-atrainMode-Ⅰquasi-staticsteadycrackgrowthintheincompressible(v=1/2)elasticperfectly-plasticmedia.Theresultsshowthatthenear-tipstressandstrainarefullycontinuous,andthestrainpossessesIn(A/r)singularityatthecracktip.Theexpressionsofthestress,strainandvelocityineachregionarealsogiven.
简介:Thecharacterizationmadtestingmethodsofthedynamicfractureinitiationtoughnessofelas-tic-plasticmaterialsundertensileimpactarestudied.Byusingtheself-designedbar-bartensileimpactappa-ratus,anoveltestmethodforstudyingdynamicfracture-initiationhasbeenproposedbasedontheone-di-mensionaltestprinciple.Thecurveofaverageloadv.s.displacement(-δ)issmoothuntilunstablecrackpropagation,andthekineticenergywhichdoesnotcontributetothecrackgrowthcanberemovedfromtotalworkdonebyexternal-forcetothespecimen.Thefracture-initiationpointisdeterminedbycompliance-changingratemethod.Theresultsshowthatthesemethodsarefeasibleandeffective.Throughtheanalysisoftheconversionbetweenworkandenergyofafracturespecimen,thedynamicJ-integralisadoptedasachar-acteristicparameterforelastic-plasticmaterialsunderimpactloading.TheJ-integraliscalculatedfrom-△andP-δcurvesbyusingtheformulaproposedbyRice.TheJ-integralatfractureinitiationisemployedtodescribethedynamicfracture-initiationtoughnessofelastie-plasticmaterialsandtheexperimentalresultsindicatethatJ10canberegardedasamaterialconstant.
简介:Anewalgorithmforthesolutionofquadraticprogrammingproblemsisputforwardintermsofthemixedenergytheoryandisfurtherusedfortheincrementalsolutionofelastic-plastictrussstructures.Themethodproposedisdifferentfromthetraditionalone,forwhichtheunknownvariablesareselectedjustinoneclasssuchasdisplacementsorstresses.Thepresentmethodselectsthevariablesinthemixedformwithbothdisplacementandstress.Asthemethodisestablishedinthehybridspace,theinformationfoundinthepreviousincrementalstepcanbeusedforthesolutionofthepresentstep,makingthealgorithmhighlyeffi-cientinthenumericalsolutionprocessofquadraticprogrammingproblems.Theresultsobainedintheexam-plesoftheelastie-plasticsolutionofthetrussstructuresverifywhathasbeenpredictedinthetheoreticalanal-ysis.
简介:PD(X3?)相互作用潜力用CCSD(T)理论和基础集合被构造,aug-cc-pV5Z。用这个潜力,分光镜的参数是精确地坚定的。礼品,De,Re,e,ee,e,并且具有3.05699eV,3.16175eV,0.14239nm,1701.558厘米?1,23.6583厘米?1,0.08599厘米?1,和4.3963厘米?1,分别地它几乎完美地符合大小。当时,26个震动的状态的一个总数被预言J=0由解决光线的Schr?原子运动的dinger方程。完全的震动的层次,古典拐弯处点,起始的旋转和离心的失真常数什么时候J=0第一次被报导,它有利地同意实验。全部、各种各样的部分波浪的生气的节在1.0魄为在二个地面状态P和D原子之间的有弹性的影响被计算吗??
简介:Anadaptivemeshfiniteelementmodelhasbeendevelopedtopredictthecrackpropagationdirectionaswellastocalculatethestressintensityfactors(SIFs),underlinear-elasticassumptionformixedmodeloadingapplication.Thefiniteelementmeshisgeneratedusingtheadvancingfrontmethod.Inordertosuittherequirementsofthefractureanalysis,thegenerationofthebackgroundmeshandtheconstructionofsingularelementshavebeenaddedtothedevelopedprogram.Theadaptiveremeshingprocessiscarriedoutbasedontheposterioristresserrornormschemetoobtainanoptimalmesh.Previousworksoftheauthorshaveproposedtechniquesforadaptivemeshgenerationof2Dcrackedmodels.Facilitatedbythesingularelements,thedis-placementextrapolationtechniqueisemployedtocalculatetheSIF.Thefractureismodeledbythesplittingnodeapproachandthetrajectoryfollowsthesuccessivelinearextensionsofeachcrackincrement.TheSIFsvaluesfortwodifferentcasestudieswereestimatedandvalidatedbydirectcomparisonswithotherresearcherswork.
简介:Withthegrowingpopularityofcloud-baseddatacenternetworks(DCNs),taskresourceallocationhasbecomemoreandmoreimportanttotheefficientuseofresourceinDCNs.Thispaperconsidersprovisioningthemaximumadmissibleload(MAL)ofvirtualmachines(VMs)inphysicalmachines(PMs)withunderlyingtree-structuredDCNsusingthehosemodelforcommunication.Thelimitationofstaticloaddistributionisthatitassignstaskstonodesinaonce-and-for-allmanner,andthusrequiresaprioriknowledgeofprogrambehavior.Toavoidloadredistributionduringruntimewhentheloadgrows,weintroducemaximumelasticityscheduling,whichhasthemaximumgrowthpotentialsubjecttothenodeandlinkcapacities.Thispaperaimstofindtheschedulewiththemaximumelasticityacrossnodesandlinks.Wefirstproposeadistributedlinearsolutionbasedonmessagepassing,andwediscussseveralpropertiesandextensionsofthemodel.Basedontheassumptionsandconclusions,weextendittothemultiplepathscasewithafattreeDCN,anddiscusstheoptimalsolutionforcomputingtheMALwithbothcomputationandcommunicationconstraints.Afterthat,wepresenttheprovisionschemewiththemaximumelasticityfortheVMs,whichcomeswithprovableoptimalityguaranteeforafixedflowschedulingstrategyinafattreeDCN.Weconducttheevaluationsonourtestbedandpresentvarioussimulationresultsbycomparingtheproposedmaximumelasticschedulingschemeswithothermethods.Extensivesimulationsvalidatetheeffectivenessoftheproposedpolicies,andtheresultsareshownfromdifferentperspectivestoprovidesolutionsbasedonourresearch.
简介:Ananalyticalmodelisdevelopedtoassesstheelastic-plasticdynamicresponseoffullybackedsandwichplatesunderlocalizedimpulseload.Thecoreismodeledasanelastic-perfectlyplasticfoundation.Thetopfacesheetistreatedasanindividualplaterestingonthefoundation.Theelastic-plasticanalysisforthetopfacesheetisbasedonaminimumprincipleindynamicplasticityassociatedwiththefinitedifferencetechnique.Theeffectsofspatialandtemporaldistributionsoftheimpulsiveloadingonthedynamicresponseofsandwichplatesarediscussed.Themodelcanbeusedtopredicttheimpulse-inducedlocaleffectonfullybackedsandwichplates.
简介:Duetothewideapplicationsofarchesinundergroundprotectivestructures,dynamicanalysisofcircu-lararchesincludingsoil-structureinteractionsisimportant.Inthispaper,anexactsolutionoftheforcedvibrationofcirculararchessubjectedtosubsurfacedenotationforcesisobtained.Thedynamicsoil-structureinteractionisconsideredwiththeintroductionofaninterfacialdampingbetweenthestructureelementandthesurroundingsoilintotheequationofmotion.Byneglectingtheinfluencesofshear,rotaryinertiaandtangentialforcesandassumingthearchincompressible,theequationsofmotionoftheburiedarchesweresetup.Analyticalsolutionsofthedynamicresponsesoftheprotectivearcheswerededucedbymeansofmodalsuperposition.Archeswithdifferentopeningangles,acousticimpedancesandrise-spanratioswereanalyzedtodiscusstheirinfluencesonanarch.Thetheoreticalanalysissuggestsblastloadsforelasticdesignsandpredictsthepotentialfailuremodesforburiedprotectivearches.