简介:Onthebasisofthemedicalandmechanicalanalysisandexplanationsinthispaperthevisco-elasticsimplysupportedbeammodelisproposedtotreatthedisplacementwaveofthebloodvessels.Therelationshipsbetweenthedisplacementwaveandbloodvesselelasticityaswellastheviscousdissipationofthebloodandbloodvesselareobtained.ThecorrespondingrelationsofsuchkindsofpulsesinthetraditionalChinesemedicineassmoothpulse,surfacepulseanddeeppulsetothedisplacementwavesofbloodvesselsarealsofound.Thecomputationalresultsareingoodagreementwiththoseacquiredintheexperimentswithultrasonicwave.
简介:AmodificationofafiniteelementmethodofDouglasandRobertsforapproximatingthesolutionoftheequationsdescribingcompressiblemiscibledisplacementinaporousmediumisproposedandanalyzed.ThepressureistreatedbyaparabolicmixedfiniteelementmethodusingaRaviart-Thomasspaceofindexroveraquasiregularpartition,AnextensionoftheDarcyvelocityalongGausslinesisusedintheevaluationofthecoefficientsintheGalerkinprocedurefortheconcentration.Asimplecomputationalprocedureallowsthesuperconvergencepropertyofthefluidvelocitytoberetainedinourtotalalgorithm.
简介:Inthisarticle,byusingthestabilityofCauchytypeintegralwhenthesmoothperturbationforintegralcurveandtheSobolevtypeperturbationforkerneldensityhappen,wediscussthestabilityofthesecondfundamentalprobleminplaneelasticitywhenthesmoothperturbationfortheboundaryoftheelasticdomain(unitdisk)andtheSobolevtypeperturbationforthedisplacementhappen.Andtheerrorestimateofthedisplacementbetweenthesecondfundamentalproblemanditsperturbedproblemisobtained.
简介:Inthispaper,theauthorobtainsthemoregeneraldisplacementsolutionsfortheisotropicplaneelasticityproblems.Thegeneralsolutionobtainedinref.[1]ismerelytheparticularcaseofthispaper,Incomparisonwithref.[1],thegeneralsolutionsofthispapercontainmorearbitraryconstants.Thustheymaysatisfymoreboundaryconditions.
简介:The2Dplanegasflowunderheating(withnonentityboundarycondition)hasbeendiscussedbytheanalyticalapproachinthispaper.Theapproximateanalyticalsolutionshavebeenobtainedfortheflowpassingvariouskindsofheatsources.Solutionsdemonstratethethermaldisplacementphenomenaarestronglydependontheheatingintensity.
简介:Opticalfull-fieldmeasurementmethodsarenowwidelyappliedinvariousdomains.Ingeneral,thedisplacementfieldscanbedirectlyobtainedfromthemeasurement,howeverinmechanicalanalysisstrainfieldsarepreferred.Toextractstrainfieldsfromnoisydisplacementfieldsisalwaysachallengingtopic.Inthisstudy,afiniteelementmethodforsmoothingdisplacementfieldsandcalculatingstrainfieldsisproposed.Anexperimentaltestcaseonaholedaluminumspecimenundertensionisappliedtovali...
简介:Inordertoinvestigatetheinfluenceoftheverticalvibrationloadingontheliquefactionofsaturatedsand,onedimensionalmodelforthesaturatedsandwithaverticalvibrationispresentedbasedonthetwophasecontinuousmediatheory.Thedevelopmentoftheliquefactionandtheliquefactionregionareanalyzed.Itisshownthattheverticalvibrationloadingcouldinduceliquefaction.Therateoftheliquefactionincreaseswiththeincreaseoftheinitiallimitstrainorinitialporosityoramplitudeandfrequencyofloading,andincreaseswiththedecreaseofthepermeabilityorinitialmodulus.Itisshownalsothatthereisaphaselaginthesandcolumn.Whenthesandpermeabilitydistributionisnon-uniform,theporepressureandthestrainwillrisesharplywherethepermeabilityisthesmallest,andfracturemightbeinduced.Withthedevelopmentofliquefaction,thestrengthofthesoilfoundationbecomessmallerandsmaller.Inthelimitingcase,landslidesordebrisflowscouldoccur.
简介:Compressiblemiscibledisplacementofonefluidbyanotherinporousmediaismodelledbyanonlinearparabolicsystem.Afiniteelementprocedureisintroducedtoapproximatetheconcentrationofonefluidandthepressureofthemixture.TheconcentrationistreatedbyaGalerkinmethodwhilethepressureistreatedbyaparabolicmixedfiniteelementmethod.Theeffectofdispersion,whichisneglectedin[1],isconsidered.OptimalorderestimatesinL2arederivedfortheerrorsintheapproximatesolutions.
简介:IntroductionTopologyoptimizationofcontinuumstructuresdidnotdeveloprapidlyuntilrecenttenyearsowingtothespecialdifficultiesinvo...
简介:Inthispaper,amethodofconstructingdisplacement-basedelmentforthick/thinplatesisdevel-opedbyusingthetechniqueofgeneralizedcompatibility,andarectangulardisplacement-basedelementwith12degreesoffreedomforthick/thinplatesispresented.Thismethodenjoysagoodaccuracywithsimpleformulationandisfreeofshear-lockingasthethicknessoftheplateapproacheszero.
简介:Thispaperpresentsamethodtomeasurethein-planedisplacementfieldsofcurvedsurfacebymoireinterferometryofpartialcoherentlight.Themethodhasthefollowingadvantages:simpleopticalsystem,norequirementonvibrationisolation,highsensitivity,largemeasuringrange,highcontrastofinterferencefringesandavailabilitytoin-situstructuraltesting.Thepresentpaperalsogivestheoreticalanalysisofthemethodandtheformulasoflightintensityanddisplacementfield,andintroducesareplicationtechniquetoformahighfrequencyreflectancegratingonthecurvedsurface.Theexperimentsachievedthemeasurementofthesurfacedisplacementfieldofacylindricalshell—thesimultaneouscircumferential,axialand45°displacementfields.Thetorsionaltestdataforsurfacedisplacementofacircularbaragreewellwiththetheoreticalresult.
简介:有一根激光横梁的一个单个二水平的二模式的套住的离子的相互作用理论上被学习了。用单一的转变的申请,没有执行羔羊Dicke近似,这个量系统的一个分析答案被获得了。在这个系统,纠缠的排水量Fock状态被生产。
简介:Inthispaperweshallgivethecharacteristicdifferencemethodsfortwophasedisplacemeatprobleminnaturallyfracturedreservoirs.Weshallprovetheexistence,uniquenessoftheapproximatesolutionandaprioridiscreteL2-errorestimates.
简介:Thispaperpresentsafringe-carriermethodthateliminatessignambiguityoftransientmoirefringeswhichcanbeusedtoautomaticallydeterminetherelativeorders.Afringecarrierispresetinthestaticstateofthespecimenandthedynamicin-planedisplacementsarerecordedasthemodulationtothefrequencyofthecarrierfringeswhenthespecimenisloadedbyimpact.Accordingtoamodulatingcriteriondevelopedfromthemodulationdegree,thefringesofthetransientmoirepatternskeepmonotonicalinorderssothattheycanbeautomaticallyencodedingreylevelsbyadigitalimagesystem.Themoireorderspurelycausedbydynamicloadingsareevaluatedbysubtractingthegrey-valueoftheunmodulatedcarrierimagefromthatofthemodulatedcarrierimagesencodedbytheirorders.Withthesubtractedmoireordersthestraincomponentscanbeobtained,and,correspondingly,thehistogramsofdynamicdisplacementmoireimagesareshownwithordervariationbyimage-difference.
简介:Tsinghai-TibetPlateaubecomesanimportantresearchtopicofglobaltectonics,becauseofitsmarvelousthicknessandrapidupliftingsinceQuaternary.Byusingfiniteelementmethod,thenumericalsimulationiscarriedoutforthemovementofstructurallithosphere.Thedeformableelementsareemployedtosimulatestructuralzones,andthefrictionalmechanismisintroducedtoillustratethecharacteristicofazonewithacontactcracksurface.Theboundaryconditionsareprescribedbythedisplacementsaroundthepla-teau.Asaresult,thestressanddisplacementdistributionsareobtained,whichareconsistentwithPaxialorientationsoftheearthquakefocusmechanismandthemeasuredprincipalstressdirection.Analysisandes-timatearealsomadefortheevolutionofhistoricalprocessandpresentsituationoftheplateaulithosphere.
简介:Twophase,miscible,incompressibleflowinporousmediaisgovernedbyasystemofnonlinearpartialdifferentialequations.Manynumericalmethodshavebeengivenbydidierentauthorstothissystem,hutthesemethodsneedveryhighregularityconditions.Actualty,inmostpracticalapplicationstheseregularityconditionscouldn'tbesatisfied.Inthispaper,theproblemofdiscontinuouscoefficientswithlowerregularityconditionsisconsideredandtheerrorestimatesaredemonstrated.
简介:Thenumericalmethodsformiscibledisplacmentinaggregatedorsorbingmediumareconsidered.Amixedfiniteelementmethodisadoptedforthepressureequation.Theconcentra-tioninthemobilewaterisapproximatedbyacombinationofaGalerkinfiniteelementmethodandthemethodofcharacteristicsandtheconcentrationinimmobilewaterisapproximatedbyastan-dardGalerkinmethod.Themovingmeshtechniquewhichdependsontimetisadoptedhere.Themovingmeshescanvaryindifferentspacialdomainswithdifferentvariabletimes.OptimaerrorestimatesinenergynormandL2normareobtainedundercertainconstraints.
简介:Themiscibledisplacementofoneincompressiblefluidbyanotherinaporousmediumisconsideredinthispaper.Theconcentrationissplitinafirst-orderhyberbolicequationandahomogeneousparabolicequationwithineachlimestep.ThepressureandUsvelocityfieldiscomputedbyamixedfiniteelementmethod.Optimalorderestimatesarederivedforthenodiffusioncaseandthediffusioncase.