简介：Theexactclassicallimitsforthecoefficientofvariationcforthenormaldistributionarederived.Thehand-calculatingapproximatedclassicallimitsforchavinghighaccuracyaregiventomeetpracticalengineeringneeds.UsingOdehandOwen’scomputationalmethodandBrent’salgorithm,thetablesforther-upperexactclassicallimitsofcoefficientofvariation.fornormaldistributionarecalculatedforthedifferentconfidencecoefficientγ,thesamplesizen=I（1）30,40,60,120,thesamplecoefficientofvariation（?）=0.01（0.01）0.20.Itisshownthatifn≤8,（?）≤0.20,thentheY-upperexactclassicallimitscuforcareslightlyhigherthantheexactfiduciallimitscu,Fforc.ifn>8,（?）≤0.20,thencu-cu,F<5×10-6.

简介：Basedonthetheoryofcomplexfunctionandtheprincipleofhomogenization,harmonicdynamicsstressofaradiallyinfiniteinhomogeneousmediumwithacircularcavityisinvestigated.Duetothesymmetry,wavevelocityisassumedtohavepower-lawvariationintheradialdirectiononly,andtheshearmodulusisconstant.TheHelmholtzequationwithavariablecoefficientisequivalentlytransformedintoastandardHelmholtzequationwithageneralconformaltransformationmethod(GCTM).Thedisplacementsandstressfieldsareproposed.Numericalresultsshowthatthewavenumberandtheinhomogeneityparameterofthemediumhavesignificanteffectsonthedynamicstressconcentrationaroundthecircularcavity.Thedynamicstressconcentrationfactor(DSCF)becomessingularwhentheinhomogeneityparameterofmediumisclosetozero.

简介：Ingranulation,fineparticlescombinetoformacoarsegranuleintheformofaparticlematrixpartiallyorfullysaturatedwithabinderliquid.Thefinalproductofgranulationpossessesawidevarietyofgranulesizedistributionswithsurfacemeandiameterswhichdifferwithoperatingconditions.Thefinalgranulesizedependsontheoperatingconditions,e.g.operatinggasvelocity,inletairtemperature,initialfeedparticlesize,andviscosityofthebinder.Theobjectiveofthispaperistofindouttheuniformityintherelationbetweenthegranulemassfractioninthefinalgranulesizedistributionandthenumberoffeedparticlespresentinthegranules.Thetotalnumberofgranulesobtaineddependsontheexperimentalconditionsbutthegranulemassfractionandthenumberoffeedparticlesformingasinglegranuleareindependentofoperatingvariables,feedmaterialandmethodofgranulation.Thepaperpurportsfurthertocomparetheuniformnatureofmassfractionofthegranulesinfinalgranulesizedistributionandtheprimaryparticlesrequiredtoformthatparticulargranulesizeirrespectiveofexperimentalconditionsofgranulation.

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：Inthisstudy,wedevelopedageneralmethodtoanalyticallytackleakindofmovableboundaryproblemfromtheviewpointofenergyvariation.Havinggroupedtheadhesionofamicro-beam,dropletandcarbonnanotube(CNT)ringonasubstrateintooneframework,weusedthedevelopedlineofreasoningtoinvestigatetheadhesionbehaviorsofthesesystems.Baseduponthederivedgoverningequationsandtransversalityconditions,explicitsolutionsinvolvingthecriticalparametersandmorphologiesforthethreesystemsaresuccessfullyobtained,andthentheparameteranalogiesandcommoncharacteristicsofthemarethoroughlyinvestigated.Thepresentedmethodhasbeenverifiedviatheconceptofenergyreleaserateinfracturemechanics.Ouranalysesprovideanewapproachforexploringthemechanismofdifferentsystemswithsimilaritiesaswellasforunderstandingtheunityofnature.Theanalysisresultsmaybebeneficialforthedesignofnano-structuredmaterials,andholdpotentialforenhancingtheirmechanical,chemical,opticalandelectronicproperties.