简介:Themainobjectiveofthispaperistostudythesingularnatureofthecrack-tipstressandelectricdisplacementfieldinafunctionallygradientpiezoelectricmediumhavingmaterialcoefficientswithadiscontinuousderivative.Theproblemisconsideredforthesimplestpossibleloadingandgeometry,namely,theanti-planeshearstressandelectricdisplacementin-planeoftwobondedhalfspacesinwhichthecrackisparalleltotheinterface.Itisshownthatthesquare-rootsingularityofthecrack-tipstressfieldandelectricdisplacementfieldisunaffectedbythediscontinuityinthederivativeofthematerialcoefficients.Theprob-lemissolvedforthecaseofafinitecrackandextensiveresultsaregivenforthestressintensityfactors,elec-tricdisplacementintensityfactors,andtheenergyreleaserate.
简介:Thegrowthandcoalescenceoftwomicroholesincopperfoilwerestudiedexperimentallybyinsitutensiletestsundera,scanningelectronicmicroscope.Twomicroholesof15-35μmindi-ameterwerearrangedindifferentdistancesandorientations.Itwasfoundthatthemechanismsofmicroholeevolutionwererepresentedbyslippingbandcreation,andthencrackinitiationandpropagationalongtheslippingbands,inligament.Theprocessofmicroholegrowthandcoalescencewasinfluencedbytheinter-centerdistanceandorientationofmicroholes.Thecriticalsurfaceofmicroholesatcoales-cenceisabout2—2.5timesthatoftheinitialone.Thevariationofboththeintercenterdistanceandorientationdependsontheinitialangle.
简介:Theproblemofananti-planeGriffithcrackmovingalongtheinterfaceofdissimilarpiezoelectricmaterialsissolvedbyusingtheintegraltransformtechnique.Itisshownfromtheresultthattheintensityfactorsofanti-planestressandelectricdisplacementaroundthecracktiparedepen-dentonthespeedoftheGriffithcrackaswellasthematerialcoefficients.Whenthetwopiezoelectricmaterialsareidentical,thepresentresultwillbereducedtotheresultfortheproblemofananti-planemovingGriffithcrackinhomogeneouspiezoelectricmaterials.
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:Formulationintermsofhypersingularintegralequationsfortheinteractionbetweenstraightandcurvedcracksinplaneelasticityisobtainedusingthecomplexvariablefunctionsmethod.Thecurvedlengthcoordinatemethodandasuitablenumericalschemeareusedtosolvesuchintegralsnumericallyfortheunknownfunction,whicharelaterusedtofindthestressintensityfactor,SIF.
简介:Thedynamicstressintensityfactorhistoryforahalfplanecrackinanotherwiseunboundedelasticbody,withthecrackfacessubjectedtoatractiondistributionconsistingoftwopairsofcombinedmodepointloadsthatmoveinadirectionperpendiculartothecrackedgeisconsidered.Theanalyticexpressionforthecombinedmodestressintensityfactorsasafunctionoftimeforanypointalongthecrackedgeisobtained.ThemethodofsolutionisbasedontheapplicationofintegraltransformtogetherwiththeWiener-HopftechniqueandtheCagniard-deHoopmethod.Somefeaturesofthesolutionarediscussedandgraphicalresultsforvariouspointloadspeedsarepresented.
简介:Twostochasticmodelsoffatiguecrackgrowthunderconstantamplitudecyclicloadingareproposedandstudiedbyusingthestochasticaveragingmethodandtotalprobabilitytheoremtoac-countforhighfrequencycomponentandlowfrequencycomponent,respectively,oftheirregularna-tureoffatiguecrackgrowthobservedinVirkler’sexperiment.Particularattentionispaidtothepredic-tionperformanceofthemodelsunderachangeintheinitialcracklength.Itisshownthatthemodelsproposedinthepresentpaperyieldsbetteragreementwithexperimentaldatathanothermodelsavail-ableinliterature.
简介:ThispaperpresentsanattemptattheapplicationofcatastrophetheorytothestabilityanalysisofJ-controlledcrackgrowthinthree-pointbendingspecimens.ByintroducingthesolutionsofJ-integralinthecompletelyyieldingstatefortheidealplasticmaterial,thecriticalconditionoflosingstabilityforthecrackpropagationinthespecimenisobtained,basedonthecuspcatastrophetheory.Theprocessofthecrackgrowthfromgeometricalsenseisdescribed.
简介:Thispaperpresentsanextensionofadisplacementdiscontinuitymethodwithcracktipelements(aboundaryelementmethod)proposedbytheauthorforfatiguecrackgrowthanalysisinplaneelasticmediaundermixed-modeconditions.Theboundaryelementmethodconsistsofthenon-singulardisplacementdiscontinuityelementspresentedbyCrouchandStarfieldandthecrack-tipdisplacementdiscontinuityelementsduetotheauthor.Intheboundaryelementimplementationtheleftorrightcrack-tipelementisplacedlocallyatthecorrespondingleftorrightcracktipontopofthenon-singulardisplacementdiscontinuityelementsthatcovertheentirecracksurfaceandtheotherboundaries.Crackgrowthissimulatedwithanincrementalcrackextensionanalysisbasedonthemaximumcircumferentialstresscriterion.Inthenumericalsimulation,foreachincrementofcrackextension,remeshingofexistingboundariesisnotrequiredbecauseofanintrinsicfeatureofthenumericalapproach.Crackgrowthismodeledbyaddingnewboundaryelementsontheincrementalcrackextensiontothepreviouscrackboundaries.Atthesametime,theelementcharacteristicsofsomerelatedelementsareadjustedaccordingtothemannerinwhichtheboundaryelementmethodisimplemented.Asanexample,thefatiguegrowthprocessofcracksemanatingfromacircularholeinaplaneelasticplateissimulatedusingthenumericalsimulationapproach.
简介:Fatiguecrackingtestsofasolderjointwerecarriedoutusingin-situscanningelectronmicroscopy(SEM)technologyundertensileandbendingcyclicloadings.Themethodforpredictingthefatiguelifeisprovidedbasedonthefatiguecrackgrowthrateofthesolderjoint.Theresultsshowthattheeffectoftheloadingtypeonthefatiguecrackgrowthbehaviorofasolderjointcannotbeignored.Inaddition,thefiniteelementanalysisresultshelpquantitativelyestimatetheresponserelationshipbetweensolderjointstructures.Thefatiguecrackinitiationlifeofasolderjointisingoodagreementwiththefatiguelife(N50%)ofatotallyelectronicboardwith36solderjoints.
简介:Basedonapproximatetheoreticalanalysesonatypiealsphericalcellcontainingasphericalmicrovoid,theinfluencesofmatrixmaterials’microscopicscaleonthemacroscopicconstitutivepotentialthe-oryofporousmaterialandmicrovoidgrowthhavebeeninvestigatedindetail.Byassumingthattheplasticde-formationbehaviorofmatrixmaterialsfollowsthestraingradient(SG)plastictheoryinvolvingthestretchandrotationgradients,theratio(λ=l/a)ofthematrixmaterials’intrinsiccharacteristicLengthltothemicro-voidradiusaisintrodncedintotheplasticconstitutivepotentialandthevoidgrrothlaw.Thepresentresultsindicatethat,whentheradiusaofmicrovoidsiscomparablewiththeintrinsiccharacteristiclengthlofthematrixmaterials,theinfluenceofmicroscopicsizeeffectonneithertheconstitutivepotentialnorthemicro-voidevolutionpredictedcanheignored.Andwhenthevoidradiusaismuchlagerthantheintrinsiccharac-teristiclengthlofthematrixmaterials,thepresentmodelcanretrogressautomaticallytotheimprovedGur-sonmodelthattakesintoaccountthestrainhardeningeffectofmatrixmaterials.
简介:这份报纸探索生长在生物软材料的导致的词法不稳定性。鉴于生活纸巾的生长不仅改变它的几何学而且罐头改变它的机械性质,我们建议在材料的机械性质上合并生长的效果的一个精制容量的生长模型。在这个容量的生长模型和常规热压力模型之间的类比为小、有限的变丑问题被探讨,它基于建议模型为有限元素分析带大容易。导致的生长的例子出现起皱在软composites的行为,包括核心壳软柱体和三分层的软纸巾,被探索。结果和讨论在理解在软生物纸巾的形态发生和生长之间的关联预见模型的可能的应用(例如皮肤和肿瘤),以及在评估,变丑和软人工的材料的表面不稳定性行为由swelling/shrinkage导致了。
简介:Anasymptoticanalysisismadeonproblemswithasteady-statecrackgrowthcoupledwithacreeplawmodelundertensileloads.Asymptoticequationsofcracktipfieldsincreepmaterialsarederivedandsolvednumericallyundersmallscaleconditions.Stressandstrainfunctionsareadoptedunderapolarcoordinatesystem.Thegoverningequationsofasymptoticfieldsareobtainedbyinsertingthestressfieldandstrainfieldintothemateriallaw.Thecrackgrowthrateratherthanfracturecriterionplaysanimportantroleinthecracktipfieldsofmaterialswithcreepbehavior.
简介:Inthispaper,thescatteringofharmonicantiplaneshearwavesbytwofinitecracksisstudiedusingthenon-localtheory.TheFouriertransformisappliedandamixedboundaryvalueprob-lemisformulated.Thenasetoftripleintegralequationsissolvedusinganewmethod,namelySchmidt’smethod,ThismethodismoreexactandmorereasonablethanEringen’sforsolvingthiskindofproblem.Theresultofthestressnearthecracktipwasobtained.Contrarytotheclassicalelas-ticitysolution,itisfoundthatnostresssingularityispresentatthecracktip,whichcanexplaintheproblemofmacroscopicandmicroscopicmechanics.
简介:Inthispaper,thebehavioroftwocollinearcracksinmagneto-electro-elasticcompositematerialunderanti-planeshearstressloadingisstudiedbytheSchmidtmethodforpermeableelectricboundaryconditions.ByusingtheFouriertransform,theproblemcanbesolvedwithasetoftripleintegralequationsinwhichtheunknownvariableisthejumpofdisplacementsacrossthecracksurfaces.Insolvingthetripleintegralequations,theunknownvariableisexpandedinaseriesofJacobipolynomials.Numericalsolutionsareobtained.Itisshownthatthestressfieldisindependentoftheelectricfieldandthemagneticflux.
简介:Westudyelectromechanicalfieldsintheanti-planedeformationofaninfinitemediumofpiezoelectricmaterialsof6mmsymmetrywithacircularcylindricalhole.Thetheoryofelectroelasticdielectricswithelectricfieldgradientintheconstitutiverelationsisused.Specialattentionispaidtothefieldsnearthesurfaceofthehole.