简介:Forthestabilityrequirementofnumericalresultants,themathematicaltheoryofclassicalmixedmethodsarerelativelycomplex.However,generalizedmixedmethodsareautomaticallystable,andtheirbuildingprocessissimpleandstraightforward.Inthispaper,basedontheseminalideaofthegeneralizedmixedmethods,asimple,stable,andhighlyaccurate8-nodenoncompatiblesymplecticelement(NCSE8)wasdevelopedbythecombinationofthemodifiedHellinger-Reissnermixedvariationalprincipleandtheminimumenergyprinciple.Toensuretheaccuracyofin-planestressresults,asimultaneousequationapproachwasalsosuggested.NumericalexperimentationshowsthattheaccuracyofstressresultsofNCSE8arenearlythesameasthatofdisplacementmethods,andtheyareingoodagreementwiththeexactsolutionswhenthemeshisrelativelyfine.NCSE8hasadvantagesoftheclearingconcept,easycalculationbyafiniteelementcomputerprogram,higheraccuracyandwideapplicabilityforvariouslinearelasticitycompressibleandnearlyincompressiblematerialproblems.ItispossiblethatNCSE8becomesevenmoreadvantageousforthefractureproblemsduetoitsbetteraccuracyofstresses.
简介:AnovelHeckreactioncatalystconsistingofapalladium(Ⅱ)complexofmeso-tetra(phydroxyphenyl)porphyrin(MTP)andcross-linkedchloromethylatedpolystyrenemicrospheres(PMs)wassuccessfullypreparedviacovalentetherbondsbetweenthechloridegroupsinthePMsandthehydroxylgroupsinMTP.Thecatalystwascharacterizedusingscanningelectronmicroscopy,Fourier-transforminfraredspectroscopy,andinductivelycoupledplasmaatomicemissionspectroscopy(ICP-AES).Thispolystyrene-supportedpalladium-complexwasanefficientheterogeneouscatalystforcross-couplingofaryliodideswithethylacrylate.ThereactionofiodobenzeneandethylacrylateunderN2at100℃andacatalystconcentrationof0.1%gaveagaschromatographyproductyieldof99.8%,whichismuchhigherthanthatachievedusingafreepalladium(Ⅱ)complexofMTPasthecatalyst(41.3%).Thecatalystwasrecycleduptosixtimeswithoutsignificantlossofcatalyticactivity.Theseresultssuggestthattheimmobilizedpalladium(Ⅱ)-MTPcatalysthaspotentialapplicationsinsyntheticandindustrialchemistry.
简介:AhighlyefficientH1-Galerkinmixedfiniteelementmethod(MFEM)ispresentedwithlineartriangularelementfortheparabolicintegro-differentialequation.Firstly,somenewresultsabouttheintegralestimationandasymptoticexpansionsarestudied.Then,thesuperconvergenceoforderO(h2)forboththeoriginalvariableuinH1(π)normandthefluxp=uinH(div,π)normisderivedthroughtheinterpolationpostprocessingtechnique.Furthermore,withthehelpoftheasymptoticexpansionsandasuitableauxiliaryproblem,theextrapolationsolutionswithaccuracyO(h3)areobtainedfortheabovetwovariables.Finally,somenumericalresultsareprovidedtoconfirmvalidityofthetheoreticalanalysisandexcellentperformanceoftheproposedmethod.
简介:Polymerbondedexplosives(PBXs)arehighlyparticle-filledcompositematerials.ThispaperexperimentallystudiesthetensiledeformationandfracturebehaviorofaPBXsimulationbyusingthesemi-circularbending(SCB)test.Thedeformationandfractureprocessofapre-notchedSCBsamplewitharandomspecklepatternisrecordedbyachargecoupleddevicecamera.Thedisplacementandstrainfieldsontheobservedsurfaceduringtheloadingprocessareobtainedbyusingthedigitalimagecorrelationmethod....
简介:Nanostructuredtransitionmetaloxidesarepromisingalternativeanodesforlithiumionbatteries.Li-ionstorageperformanceisexpectedtoimproveifhighpackingdensityenergyparticlesareavailable.Herein,Mn2O3microsphereswithaca.18μmdiameterandatappeddensityof1.33g/cm3weresynthesizedbyafacilesolvothermal-thermalcoversionroute.SphericalMnCO3precursorswereobtainedthroughsolvothermaltreatmentandtheydecomposedandconvertedintoMn2O3microspheresatanannealingtemperatureof700C.TheMn2O3microspheresconsistedofMn2O3nanoparticleswithanaverage40nmdiameter.TheseporousMn2O3microspheresallowgoodelectrolytepenetrationandprovideanionbufferreservoirtoensureaconstantelectrolytesupply.TheMn2O3microsphereshavereversiblecapacitiesof590and320mAh/gat50and400mA/g,respectively.Wethusreportanefficientrouteforthefabricationofenergyparticlesforadvancedenergystorage.