简介:Themulti-parameterinversescatteringproblemofelasticwaveequationwithsinglefre-quencyisinvestigatedwithinBornapproximation.Byuseofawidebandmeasuringschemeinwhichbothtransmittersandreceiversscanoverthehalf-spacesurface,theformulaofthescatteringfieldofelasticwaveisderived.Fourtypesofmodeconversionofelasticwave(P→P,P→S,S→P,S→S)areseparatedfromthescatteringfield.Thesecomponentscontainsufficientinformationforustorecon-structtheconfigurationsofthedensityandLaméparametersofthemedium.Theinverseformulashavetheformoffilteredback-propagationasintheacousticdiffractiontomography.Computersimu-lationsarealsoobtained.
简介:Inthispaper,weconsiderthenonsymmetricalhalf-planeprediction.Apredictiontheoreticproofofthefundamentalformulaaboutonesteppredictionerrorisgiven.AWold-typedecompositionanditsspectralrepresentationtheoremareproved.Spectralextractionproblemsofthehalf-planeinnova-tionsanditssingularcomponentsareinvestigated.
简介:ALegendrespectralelement/LaguerrecoupledmethodisproposedtonumericallysolvetheellipticHelmholtzproblemonthehalfline.Rigorousanalysisiscarriedouttoestablishtheconvergenceofthemethod.Severalnumericalexamplesareprovidedtoconfirmthetheoreticalresults.TheadvantageofthismethodisdemonstratedbyanumericalcomparisonwiththepureLaguerremethod.
简介:Theinversionofstongscattererembeddedinthehalf-spaceisanimportantprobleminengi-neeringandaverydifficultnonlinearprolbeminmathematics,forwhichtheBorniterativemethodisofnoeffect.Inthispaperthemomentmethodisusedinthediscretizationprocedure.Anumericalapproachispr-esentedbyemployingtheregularizationtechniqueandDBI(distortedBorniterative)method.Thesimulationresultsshowthattheapproachpresentedisefficient.
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简介:Exactsolutionsinelementaryfunctionsarederivedforthestressandelectricdisplacementintensityfactorsofahalf-planecrackinatransverselyisotropicpiezoelectricspaceinteractingwithvariousresultantsources,includingforcedipole,electricdipole,moment,forcedilatationandrotation.Suchforceandchargesourcesmaymodeldefectslikevacancies,foreignparticlesanddislocations.Thelocationsandorientationsofthestressandchargesourceswithrespecttothecrackarearbitrary.
简介:Thebehavioroftwocollinearanti-planeshearcracksinapiezoelectriclayerbondedtotwohalfspacesisinvestigatedbytheSchmidtmethod.Thecracksareverticallytotheimerfacesofthepiezoelectriclayer.ByusingtheFouriertransform,theproblemcanbesolvedwithtwopairsoftripleintegralequations.TheseequationsaresolvedusingtheSchmidtmethod.Thisprocessisquitedifferentfromthatadoptedpreviously.Numericalexamplesareprovidedtoshowtheeffectofthegeometryoftheinteractingcracksandthepiezoelectricconstantsofthematerialuponthestressintensityfactorofthecracks.
简介:Halfsandwichirondicarbonylcomplex[η5-C5H3(t-Bu)2]Fe(CO)2Cl(1)reactswith1,2-dilithiumdiselenocarboraneLi2Se2C2B10H10(2)togiveabinuclearironcarboranecomplex[η5-C5H3(t-Bu)2]2Fe2(CO)3*Se2C2B10H10(3).TheX-raydiffractionanalysisofcomplex3revealsthatoneoftheironatomsischiral.