简介:Byusingthefinite-partintegralconceptsandlimittechnique,thehypersingularinte-grodifferentialequationsofthree-dimensional(3D)planarinterfacecrackwereobtained;thenthedominant-partanalysisof2Dhypersingularintegralwasfurtherusedtoinvestigatethestressfieldsnearthecrackfronttheoretically,andtheaccurateformulaewereobtainedforthesingularstressfieldsandthecomplexstressintensityfactors.Afterthat,anumericalmethodisproposedtosolvethehyper-singularintegrodifferentialequationsof3Dplanarinterfacecrack,andtheproblemofellipticalplanarcrackisthenconsideredtoshowtheapplicationofthemethod.Thenumericalresultsobtainedaresat-isfactory.
简介:Thethermalstressofthequartzoscillatormodulepackagingisinvestigatedusingdistal-im-agecorrelationmethod(DICM),andtheexperimentalresultsaregiven.Underthequartzoscillatormodulepackaging,thequartzoscillatorandtheFe-Sn-Cualloyframearejoinedtogetherwiththeelectroconductiveadhesive(PI),andtheelectroconductiveadhesiveneedstobecuredtwiceat150℃and275℃respective-ly.AsthequartzoscillatorandtheFe-Sn-Cualloyframehaveadistinctdifferenceinboththermalexpansioncoefficientsandmechanicalpropertiesandinprocessofpackagingtemperaturerisesordrops,thethermalstressisyieldedeasily.Whiletemperaluredrops,thenormalstressatthequartzoscillatoredgeisatensilestress,whichcanmakethequartzoscillatorfracture.
简介:StresscalculationformulaeforaringhavebeenobtainedbyusingAirystressfunctionoftheplanestrainfieldwiththedecompositionofthesolutionsfornormalstressesofAirybiharmonicequationintotwopartswhenitisloadedundertwooppositeinsideforcesalongadiameter.Onepartshouldfulfillaconstraintconditionaboutnormalstressdistributionalongthecircumferenceatanenergyvalleytodotheminimumwork.Otherpartisastressresidueconstant.Inordertoverifytheseformulaeandthecomputedresults,thecomputedcontourlinesofequi-maximalshearstresseswereplottedandquitecomparedwiththatofphoto-elasticitytestresults.ThisconstraintconditionaboutnormalstressdistributionalongcircumferenceisconfirmedbyusingGreens’theorem.Anadditionalcompressionexistsalongthecircumferenceoftheloadedring,explainingthedivorcementanddisplacementofsingularitypointsatinnerandouterboundaries.
简介:这篇论文在小粒的材料的行为上论述micromechanical研究在下面限制砍使用一个三维的分离元素方法(DEM)。我们在DEM代码在球形的粒子之中把旋转抵抗看作说明粒子形状的效果的一个近似方法。在undrained下面砍,它被发现抵抗旋转可以帮助增加一个小粒的系统的shear力量并且提高它的抵抗到液化。在有不同起始的条件的小粒的系统的内部结构和anisotropy的进化描绘区分二张接触子网的一个清楚的bimodal字符。面对旋转抵抗,好关联在一种分析stress-force-fabric关系和DEM结果,正常力量anisotropy在起一个主导的作用之间被发现。在与小粒的anisotropy的关系的批评状态和液化状态的唯一的性质也被探索并且讨论。
简介:TheSelf-SimilarCrackExpansion(SSCE)methodisproposedtoevaluatestressintensi-tyfactorsatcracktips,wherebystressintensityfactorsofacrackcanbedeterminedbythecrackopeningdisplacementoverthecrack,notjustbythelocaldisplacementaroundthecracktip.Thecrackexpansionrateisestimatedbytakingadvantageofthecrackself-similarity.Therefore,theaccuracyofthecalculationisimproved.Thesingularintegralsoncracktipelementsarealsoanalyzedandarepre-ciselyevaluatedintermsofaspecialintegralanalysis.Combinationofthesetwotechniquesgreatlyin-creasestheaccuracyinestimatingthestressdistributionaroundthecracktip.Avarietyoftwo-dimen-sionalcracks,suchassubsurfacecracks,edgecracks,andtheirinteractionsarecalculatedintermsoftheself-similarexpansionrate.Solutionsaresatisfiedwitherrorslessthan0.5%ascomparedwiththeanalyticalsolutions.Basedonthecalculationsofthecrackinteractions,atheoryforcrackinteractionsisproposedsuchthatforagroupofalignedcracksthesummationofthesquareofSIFsattherighttipsofcracksisalwaysequaltothatatthelefttipsofcracks.ThistheorywasprovedbythemehtodofSelf-SimilarCrackExpansioninthispaper.
简介:Aclosed-formsolutionforpredictingthetangentialstressofaninclusionlocatedinmixedmodeⅠandⅡcracktipfieldwasdevelopedbasedontheEshelbyequivalentinclusiontheory.Thenamixedmodefracturecriterion,includingthefracturedirectionandthecriticalload,wasestablishedbasedonthemaximumtangentialstressintheinclusionforbrittleinclusioninducedfracturematerials.Theproposedfracturecriterionisafunctionoftheinclusionfracturestress,itssizeandvolumefraction,aswellastheelasticconstantsoftheinclusionandthematrixmaterial.Thepresentcriterionwillreducetotheconventionaloneastheinclusionhavingthesameelasticbehaviorasthematrixmaterial.Theproposedsolutionsareingoodagreementwithdetailedfiniteelementanalysisandmeasurement.
简介:Thispaperisconcernedwiththenumericaltechniquebasedonthemethodofcharacter-isticsforthree-dimensionaldynamicthermoelasticproblems.Anumericalexampleforthethree-di-mensionalstresswavepropagationinathermoelasticbarofsquarecrosssectionsubjectedtobothanimpactloadingandathermalshockispresented.
简介:Stress-dependenceoftheintrinsictimeofviscoelasticmaterialsisinvestigated.Theinfluenceofstresslevelontheintrinsictimeisconsideredtobesimilartothatoflemperature,pressure,solventcon-centration,damageandphysicalaging.Thetime-lemperature-stressequivalenceprincipleisproposed,byemployingwhich,thecreepcurvesatdifferenttemperaturesandstresslevelscanbeshiftedintoamastercurveatreferencetemperatureandstresslevel.Thusthelong-termcreepbehaviorofviscoelasticmaterialsatalowertemperatureandstresscanbepredictedfromtheshort-termoneatahighertemperatureandstress.Asanexample,thenonlinearcreepbehaviorofhigh-densitypolyethylene(HDPE)atroomtemperatureisstudiedusingthetime-temperature-stressequivalenceprinciplepresented.
简介:Tsinghai-TibetPlateaubecomesanimportantresearchtopicofglobaltectonics,becauseofitsmarvelousthicknessandrapidupliftingsinceQuaternary.Byusingfiniteelementmethod,thenumericalsimulationiscarriedoutforthemovementofstructurallithosphere.Thedeformableelementsareemployedtosimulatestructuralzones,andthefrictionalmechanismisintroducedtoillustratethecharacteristicofazonewithacontactcracksurface.Theboundaryconditionsareprescribedbythedisplacementsaroundthepla-teau.Asaresult,thestressanddisplacementdistributionsareobtained,whichareconsistentwithPaxialorientationsoftheearthquakefocusmechanismandthemeasuredprincipalstressdirection.Analysisandes-timatearealsomadefortheevolutionofhistoricalprocessandpresentsituationoftheplateaulithosphere.
简介:Inthispaper,afiniteelementmethodisdevelopedtonumericallyevaluatetheshearcoefficientofTimoshenko'sbeamwithmultiplyconneetedcrosssection.Withfocusonanalyzingshearstressesdistributedattheneutralaxisofthebeam,animproveddefinitionoftheshearcoefficientispresented.Basedonthisdefinition,aGalerkin-typefiniteelementformulationisproposedtoanalyzetheshearstressesandsheardeflections.Numericalsolutionsoftheexamplesforsometypicalcross-sectionsarecomparedwiththetheoreticalresults.TheshearcoefficientoftowersectionsoftheTsingMaBridgeiscalculatedbyuseoftheproposedapproach,sothatthefiniteelementmodelingofthebridgecanbedevelopedwiththeaccuratevaluesofthesectionalproperties.
简介:Applyingtheparametricderivationmethod,PeierlsenergyandPeierlsstressarecalculatedwithanon-sinusoidalforcelawinthelatticetheory,whiletheresultsobtainedbythepower-seriesexpansionaccordingtosinusoidallawcanbededucedasalimitingcaseofnon-sinusoidallaw.ThesimplifiedexpressionsofPeierlsenergyandPeierlsstressareobtainedforthelimitofwideandnarrow.PeierlsenergyandPeierlsstressdecreasemonotonicallywiththefactorofmodificationofforcelaw.PresentresultscanbeusedexpedientlyforpredictionofthecorrectorderofmagnitudeofPeierlsstressformaterials.
简介:Formulationintermsofhypersingularintegralequationsfortheinteractionbetweenstraightandcurvedcracksinplaneelasticityisobtainedusingthecomplexvariablefunctionsmethod.Thecurvedlengthcoordinatemethodandasuitablenumericalschemeareusedtosolvesuchintegralsnumericallyfortheunknownfunction,whicharelaterusedtofindthestressintensityfactor,SIF.
简介:Thedynamicstressintensityfactorhistoryforahalfplanecrackinanotherwiseunboundedelasticbody,withthecrackfacessubjectedtoatractiondistributionconsistingoftwopairsofcombinedmodepointloadsthatmoveinadirectionperpendiculartothecrackedgeisconsidered.Theanalyticexpressionforthecombinedmodestressintensityfactorsasafunctionoftimeforanypointalongthecrackedgeisobtained.ThemethodofsolutionisbasedontheapplicationofintegraltransformtogetherwiththeWiener-HopftechniqueandtheCagniard-deHoopmethod.Somefeaturesofthesolutionarediscussedandgraphicalresultsforvariouspointloadspeedsarepresented.
简介:Thedistributionofstressandstrainfieldsinamicro-structuralareaofaparticlereinforcedcompositeisstudiedbyacombinationofexperimentalandnumericalmethod(hybridmethod).Withtheex-perimentalvaluesofdisplacementsinamicro-regionastheboundaryloadingcondition,strainandstressfieldsinsidethemicro-regionarecalculatedbythefiniteelementmethodtmdertwodifferentkindsofmodel-ing,namely,asplanestressandplanestraincondition.Thedifferencesbetweenthetwokindsofmodelingconditionsasappliedtomicro-structuralareasarediscussed.
简介:Inthispaper,thestresssingularityanalysisatthecracktiponelasticbi-materialinter-facesisconsidered.ThegoverningequationsofplaneelasticityinsectorialdomainarederivedtobeinHamiltonianformviavariablesubstitutionandvariationalprinciple.Themethodsofseparationofvariablesandconjugatesymplecticeigen-functionexpansionaredevelopedtosolvetheequationsinsectorialdomain.Thegeneralformulaeforthesolutionofstresssingularitiesatthecracktiponbi-ma-terialinterfacesareputforward,andanewsolutiontechniqueforfractureproblemsispresented.