简介:Thispaperpresentsanewboundaryintegralequatiònfortwo-dimensionalelasticitywiththestresscomponentσijtitjasoneoftheboundaryvalues,wheretiisthedirectioncosineofthetangentontheboundary.ThisformofBEMhasanadvantageinthatthestresscomponentσijtitjontheboundarycanbecalculateddirectlyfromthenumericalsolution.Thepresentformulationforplaneproblemsusestwokernels,theoneislogarithmicallysingularandtheotheris1/rsingular.Theeffectivenessoftheapproachisalsodiscussedthroughtestexamples.
简介:Inmagneticresonanceelastography,oneseekstoreconstructtheshearmodulusfrommeasurementsofthedisplacementfieldinthewholebody.Inthispaper,wepresentanoptimizationapproachwhichsolvestheproblembysimplyminimizingadiscrepancyfunctional.Inordertorecoveracomplexanomalyinahomogenousmedium,wefirstobservethattheinformationcontainedinthewavefieldshouldbedecomposedintotwoparts,a'near-field'partintheregionaroundtheanomalyanda'far-field'partintheregionawayfromtheanomaly.Aswillbejustifiedboththeoreticallyandnumerically,separatingthesescalesprovidesalocalandprecisereconstruction.
简介:Thisletterreportstrafficflowsensitivitytovisco-elasticity,withthetrafficflowmodelingbrieflydescribedatfirstandthenusedtodotrafficflowsimulationswhoseresultscanreflectthepropertiesofspatial–temporalevolutionofringtrafficflow.Itrevealsthatvisco-elasticityplayscrucialroleinformationoftrafficflowpatterns,implyingthatself-organizationoftrafficflowiscrucialindeterminingtrafficflowstatus.
简介:Inthisarticle,byusingthestabilityofCauchytypeintegralwhenthesmoothperturbationforintegralcurveandtheSobolevtypeperturbationforkerneldensityhappen,wediscussthestabilityofthesecondfundamentalprobleminplaneelasticitywhenthesmoothperturbationfortheboundaryoftheelasticdomain(unitdisk)andtheSobolevtypeperturbationforthedisplacementhappen.Andtheerrorestimateofthedisplacementbetweenthesecondfundamentalproblemanditsperturbedproblemisobtained.
简介:Therelationsofallgeneralizedvariationalprinciplesinelasticityarestudiedbyemployingtheinvariancetheoremoffieldtheory.Theinfinitesimalscaletransformationinfieldtheorywasemployedtoinvestigatetheequivalenttheorem.Amongtheresultsfoundparticularlyinterestingarethoserelatedtothatallgeneralizedvariationalprinciplesinelasticityareequaltoeachother.Alsostudiedresultisthatonlytwovariablesareindependentinthefunctionalandthestress-strainrelationisthevariationalconstraintconditionforallgeneralizedvariationalprinciplesinelasticity.ThisworkhasprovenagaintheconclusionofProf.ChienWei-zang.
简介:Inthispaper,theauthorobtainsthemoregeneraldisplacementsolutionsfortheisotropicplaneelasticityproblems.Thegeneralsolutionobtainedinref.[1]ismerelytheparticularcaseofthispaper,Incomparisonwithref.[1],thegeneralsolutionsofthispapercontainmorearbitraryconstants.Thustheymaysatisfymoreboundaryconditions.
简介:TheStrohformalismismostelegantwhentheboundaryconditionsaresimple,namely,theyareprescribedintermsoftractionordisplacement.Formixedboundaryconditionssuchasthereforaslipperyboundary,theconcisematrixexpressionsoftheStrohformalismaredestroyed.WepresentageneralizedStrohformalismwhichisapplicabletoaclassofgeneralboundaryconditions.Thegeneralboundaryconditionsin-cludethesimpleandslipperyboundaryconditionsasspecialcases.ForGreen’sfunctionsforthehalfspace,thegeneralsolutionisapplicabletothecasewhenthesurfaceofthehalf-spaceisafixed,afree,aslippery,orothermoregeneralboundary.FortheGriffithcrackintheinfinitespace,thecrackcanbeaslit-likecrackwithfreesurfaces,arigidlineinclusion(whichissometimescalledananticrack),orarigidlinewithslipperysurfaceorwithothergeneralsurfaceconditions.ItisworthmentionthatthemodificationsrequiredontheStrohformalismareminor.Thegeneralizedformalismandthefinalsolutionslookverysimilartothoseofunmodifiedversion.Yettheresultsareapplicabletoaratherwiderangeofboundaryconditions.
简介:Thispaperpresentsasimplenonparametricregressionapproachtodata-drivencomputinginelasticity.Weapplythekernelregressiontothematerialdataset,andformulateasystemofnonlinearequationssolvedtoobtainastaticequilibriumstateofanelasticstructure.Preliminarynumericalexperimentsillustratethat,comparedwithexistingmethods,theproposedmethodfindsareasonablesolutionevenifdatapointsdistributecoarselyinagivenmaterialdataset.
简介:碳nanocones有相当迷人的电子、结构的性质,其轴的颤动很少在以前的研究被调查。在这份报纸,基于一个非局部的弹性理论,一个不一致的杆模型被使用在nanocones的轴的颤动上调查小规模的效果和不一致的效果。用修改Wentzel-Brillouin-Kramers(WBK)方法,一个asymptotic答案为一般不一致的nanorods的轴的颤动被获得。用类似的过程,然后,nanocones的轴的颤动为不一致的参数,模式数字和非局部的参数被分析。明确的表情为夹钳夹钳和夹钳免费的边界条件的模式频率被导出。因为对小长度规模的效果的无知,轴的颤动频率被古典杆模型高度过高估计,这被发现。
简介:ThesurvivalprobabilityofsuperheavynucleiproducedincoldfusionreactionsisstudiedbyusingthestandardFermigasleveldensityformulaandanalyzedwithfissionandneutronevaporationcharacteristicspredictedindifferenttheoreticalmodels.Theleveldensityformulausedinthislettersuppressestheratioofneutronemissionwidthtofissionwidth,Гn/Гf.ThedependenceofГn/Гfonthesaddlepointleveldensityparameterandexcitationenergyisalsoinvestigated.
简介:Theset-valuedoptimizationproblemwithconstraintsisconsideredinthesenseofsuperefficiencyinlocallyconvexlineartopologicalspaces.Undertheassumptionofic-cone-convexlikeness,byapplyingtheseperationtheorem,Kuhn-Tucker's,Lagrange'sandsaddlepointsoptimalityconditions,thenecessaryconditionsareobtainedfortheset-valuedoptimizationproblemtoattainitssupereffcientsolutions.Also,thesufficientconditionsforKuhn-Tucker's,Lagrange'sandsaddlepointsoptimalityconditionsarederived.
简介:WeprovethatatopologicalspaceisuniformEberleincompactiffitishomeomorphictoasuperweaklycompactsubsetCofaBanachspacesuchthattheclosedconvexhullcoCofCissuperweaklycompact.WealsoshowthataBanachspaceXissuperweaklycompactlygeneratediffthedualunitballBx*ofX^*initsweakstartopologyisafflnelyhomeomorphictoasuperweaklycompactlyconvexsubsetofaBanachspace.
简介:
简介:Theexactformoftheexteriorproblemforplaneelasticityproblemswasproducedandfullyprovedbythevariationalprinciple.Basedonthis,theequivalentboundaryintegralequations(EBIE)withdirectvariables,whichareequivalenttotheoriginalboundaryvalueproblem,werededucedrigorously.TheconventionallyprevailingboundaryintegralequationwithdirectvariableswasdiscussedthoroughlybysomeexamplesanditisshownthatthepreviousresultsarenotEBIE.
简介:Inthispaper,anewnumericalmethodfortheSignoriniprobleminthree-dimensionalelasticityispresented.Theproblemisreducedtoaboundaryvariationalinequalitybasedonanewrepresentationofthederivativeofthedoublelayerpotential.Furthermore,aboundaryelementprocedureisdescribedforthenumericalapproximationofitssolutionandanabstracterrorestimateisgiven.