简介:ThestressrateintegralequationsofelastoplasticityarededucedbasedonRef.[1]byconsistentmethods.Thepointatwhichthestressesand/ordisplacementsarecalculatedcanbeinthebodyorontheboundary,andintheplasticregionorelasticone.Theexistenceoftheprincipalvalueintegralintheplasticregionisdemonstratedstrictly,andthetheoreticalbasisispresentedforthepaticularsolutionmethodbyunitinitialstressfields.Inthepresentmethod,programmingiseasyandgeneral,andthenumericalresultsareexcellent.
简介:Thepaperdiscusseshowtoreducehighersingularityorderofaboundaryintegralequation.Theapproachwillbediscussedinsomedetailforplaneelasticity.Numericalresultsforthemeshesofunequallengthboundaryelementsarereported.Higherprecisionforbothdeflectionandforceisobtainedthanthatobtainedwithageneralboundaryelementmethod.
简介:Integralcollisionkerneliselucidatedusingexperimentalresultsfortitania,silicaandaluminananoparticlessynthesizedbyFCVDprocess,andtitaniasubmicronparticlessynthesizedinatubefurnacereactor.Theintegralcollisionkernelwasobtainedfromaparticlenumberbalanceequationbytheintegrationofcollisionratesfromthekinetictheoryofdilutegasesforthefree-moleculeregime,fromtheSmoluchowskitheoryforthecontinuumregime,andbyasemi-empiricalinterpolationforthetransitionregimebetweenthetwolimitingregimes.Comparisonshavebeenmadeonparticlesizeandtheintegralcollisionkernel,showingthatthepredictedintegralcollisionkernelagreedwellwiththeexperimentalresultsinKnudsennumberrangefromabout1.5to20.
简介:Inthispaper,wehaveproposedatimemarchingintregralequationmethodwhichdoesnothavethelimitationofthetimelinearizedintegralequationmethodinthatthelattermethodcannotsatisfac-torilysimulatetheshock-wavemotions.Firstly,amodelproblem——onedimensionalinitialandboundaryvaluewaveproblemistreatedtoclarifythebasicideaofthenewmethod.Thenthemethodisimplementedfor2-Dand3-Dunsteadytransonicflowproblems.Theintroductionoftheconceptofaqua-si-velocity-potentialsimplifiesthetimemarchingintegralequationsandthetreatmentoftrailingvortexsheetcondition.Thenumericalcalculationsshowthatthemethodisreasonableandreliable.
简介:Inthispaper,firstintroduceanddefineanintuitionisticMengerinnerproductspace,andthen,obtainanewfixedpointtheoreminacompleteintuitionisticMengerinnerproductspace.Asanapplication,theresultsareusedtostudytheexistenceanduniquenessofthesolutiontoalinearVolterraintegralequation.
简介:Inthispaper,weprovethatforholonomicnonconservativedynamicalsystemthePoincareandPoincaré-Cartanintegralinvariantsdonotexist.Insteadofthem,weintroducetheintegralvariantsofPoincaréCartan’stypeandofPoincaré’stypeforholonomienoneonservativedynamicalsystems,andusethesevariantstosolvetheproblemofnonlinearvibration.Wealsoprovethattheintegralinvariantsintro-ducedinreferences[1]and[2]aremerelythebasicintegralvariantsgivenbythispaper.
简介:Theexactformoftheexteriorproblemforplaneelasticityproblemswasproducedandfullyprovedbythevariationalprinciple.Basedonthis,theequivalentboundaryintegralequations(EBIE)withdirectvariables,whichareequivalenttotheoriginalboundaryvalueproblem,werededucedrigorously.TheconventionallyprevailingboundaryintegralequationwithdirectvariableswasdiscussedthoroughlybysomeexamplesanditisshownthatthepreviousresultsarenotEBIE.
简介:TheexistenceofsolutionsforsystemsofnonlinearimpulsiveVolterraintegralequationsontheinfiniteintervalR+withaninfinitenumberofmomentsofimpulseeffectinBanachspacesisstudied.Someexistencetheoremsofextremalsolutionsareobtained,whichextendtherelatedresultsforthisclassofequationsonafiniteintervalwithafinitenumberofmomentsofimpulseeffect.Theresultsaredemonstratedbymeansofanexampleofaninfinitesystemsforimpulsiveintegralequations.
简介:Theconstitutiveequationunderthelow-cyclefatigue(LCF)wasdiscussed,andatwo-dimensional(2-D)modelforsimulatingfatiguecrackextensionwasputforwardinordertoproposeanewcyclicJ-integral.Thedefinition,primarycharacteristics,physicalinterpretationsandnumericalevaluationofthenewparameterwereinvestigatedindetail.Moreover,thenewcyclicJ-integralforLCFbehaviorswasvalidatedbythecompacttension(CT)specimens.ResultsshowthatthecalculatedvaluesofthenewparametercancorrelatewellwithLCFcrackgrowthrate,duringconstant-amplitudeloading.Inaddition,thephenomenonoffatigueretardationwasexplainedthroughtheviewpointofenergybasedontheconceptofthenewparameter.
简介:Inthispaperthefixedpointindexproblemforaclassofpositiveoperatorswithboundarycontrolconditionsisdiscussed,andsomesufficientconditionsforthefixedpointindextobeequalto1or0aregiven.Moreover,ageneralfixedpointtheoremofexpansionsandcompressionsforconeisobtained,whichgeneralizesandimprovesthecorrespondingresultsof[3,8,9].Asanapplication,weutilizetheresultspresentedabovetostudytheexistenceconditionsofpositivesolutionsofnonlinearintegralequationsmodellinginfectiousdiseases.
简介:Basedonenergyequilibrium,anewprocedurecalledtheMembraneFactorMethodisdevel-opedtoanalyzethedynamicplasticresponseofplateswithdeflectionsintherangewherebothbendingmo-mentsandmembraneforcesareimportant.Thefinaldeflectionofasimply-supportedcircularrigid-plasticplateloadedbyauniformlydistributedimpulseisobtained.Incomparisonwithotherapproximatesolutions,thepresentresultsarefoundtobesimplerandinbetteragreementwiththecorrespondingexperimentalvaluesreoordedbyFlorence.