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  • 简介:<正>IntroductionThefundamentalproblemsofahalfplanewithanisotropicelasticityandtheperiodicfundamentalproblemsofahalfplanewithisotropicelasticitywererespectivelyinvestigatedbyS.G.Leknitskii[1]andLuChien-ke[2].Theseproblemsareformulatedonthecornplexz-planeintermsof

  • 标签: 基金资助 数学年 中国有色金属工业 湖南 基础学科 总公司
  • 简介:这篇论文在一根一半线上调查singularsub线性的边界价值问题的积极答案的存在。为积极连续答案或光滑的答案在上的存在的必要、足够的条件[0,∞)被构造新更低、上面的答案给。

  • 标签: 奇异边值问题 正解 存在性 连续解 光滑解
  • 简介:Themulti-parameterinversescatteringproblemofelasticwaveequationwithsinglefre-quencyisinvestigatedwithinBornapproximation.Byuseofawidebandmeasuringschemeinwhichbothtransmittersandreceiversscanoverthehalf-spacesurface,theformulaofthescatteringfieldofelasticwaveisderived.Fourtypesofmodeconversionofelasticwave(P→P,P→S,S→P,S→S)areseparatedfromthescatteringfield.Thesecomponentscontainsufficientinformationforustorecon-structtheconfigurationsofthedensityandLaméparametersofthemedium.Theinverseformulashavetheformoffilteredback-propagationasintheacousticdiffractiontomography.Computersimu-lationsarealsoobtained.

  • 标签: ELASTIC WAVE MULTI-PARAMETER INVERSE SCATTERING
  • 简介:Inthispaper,weconsiderthenonsymmetricalhalf-planeprediction.Apredictiontheoreticproofofthefundamentalformulaaboutonesteppredictionerrorisgiven.AWold-typedecompositionanditsspectralrepresentationtheoremareproved.Spectralextractionproblemsofthehalf-planeinnova-tionsanditssingularcomponentsareinvestigated.

  • 标签: SINGULAR proof REGULARITY whenever PRED ANSWER
  • 简介:Inthisworkpropagationofanti-plane(SH)wavesintwopiezoelectricceramichalf-spaceswithathinlayerofasemiconductingmaterialbetweenthehalf-spacesisstudied,andwaveattenuationanddispersioncausedbysemiconductionaswellaswaveamplificationbyabiasingelectricfieldareexamined.

  • 标签: 压电陶瓷 半导体薄膜 电磁波 传播效果
  • 简介:ALegendrespectralelement/LaguerrecoupledmethodisproposedtonumericallysolvetheellipticHelmholtzproblemonthehalfline.Rigorousanalysisiscarriedouttoestablishtheconvergenceofthemethod.Severalnumericalexamplesareprovidedtoconfirmthetheoreticalresults.TheadvantageofthismethodisdemonstratedbyanumericalcomparisonwiththepureLaguerremethod.

  • 标签: 赫尔姆霍茨问题 光谱方法 Laguerre耦合方法 半直线
  • 简介:Theinversionofstongscattererembeddedinthehalf-spaceisanimportantprobleminengi-neeringandaverydifficultnonlinearprolbeminmathematics,forwhichtheBorniterativemethodisofnoeffect.Inthispaperthemomentmethodisusedinthediscretizationprocedure.Anumericalapproachispr-esentedbyemployingtheregularizationtechniqueandDBI(distortedBorniterative)method.Thesimulationresultsshowthattheapproachpresentedisefficient.

  • 标签: INVERSION NONLINEARITY STRONG SCATTER HALF-SPACE
  • 简介:Exactsolutionsinelementaryfunctionsarederivedforthestressandelectricdisplacementintensityfactorsofahalf-planecrackinatransverselyisotropicpiezoelectricspaceinteractingwithvariousresultantsources,includingforcedipole,electricdipole,moment,forcedilatationandrotation.Suchforceandchargesourcesmaymodeldefectslikevacancies,foreignparticlesanddislocations.Thelocationsandorientationsofthestressandchargesourceswithrespecttothecrackarearbitrary.

  • 标签: 半平面裂纹 压电空间 强度因素 合成源
  • 简介:Thebehavioroftwocollinearanti-planeshearcracksinapiezoelectriclayerbondedtotwohalfspacesisinvestigatedbytheSchmidtmethod.Thecracksareverticallytotheimerfacesofthepiezoelectriclayer.ByusingtheFouriertransform,theproblemcanbesolvedwithtwopairsoftripleintegralequations.TheseequationsaresolvedusingtheSchmidtmethod.Thisprocessisquitedifferentfromthatadoptedpreviously.Numericalexamplesareprovidedtoshowtheeffectofthegeometryoftheinteractingcracksandthepiezoelectricconstantsofthematerialuponthestressintensityfactorofthecracks.

  • 标签: SCHMIDT method TRIPLE integral equations PIEZOELECTRIC
  • 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.

  • 标签: Carborane Halfsandwich IRON complex Chirality Molecular