简介：Thebehaviorofthestressintensityfactoratthetipsofcrackssubjectedtouniaxialtensionσχ^∞=pwithtraction-freeboundaryconditioninhalf-planeelasticityisinvestigated.Theproblemisformulatedintosingularintegralequationswiththedistributiondislocationfunctionasunknown.Intheformulation,wemakeusedofamodifiedcomplexpotential.Basedontheappropriatequadratureformulastogetherwithasuitablechoiceofcollocationpoints,thesingularintegralequationsarereducedtoasystemoflinearequationsfortheunknowncoefficients.Numericalexamplesshowthatthevaluesofthestressintensityfactorareinfluencedbythedistancefromthecrackstotheboundaryofthehalf-planeandtheconfigurationofthecracks.

简介：Inthispaper,weconsiderthenonsymmetricalhalf-planeprediction.Apredictiontheoreticproofofthefundamentalformulaaboutonesteppredictionerrorisgiven.AWold-typedecompositionanditsspectralrepresentationtheoremareproved.Spectralextractionproblemsofthehalf-planeinnova-tionsanditssingularcomponentsareinvestigated.

简介：Inthepaper,generalizedordersandgeneralizedtypesofDirichletseriesintherighthalf-planearegiven.Someinterestingrelationshipsonmaximummodulus,themaximumtermandthecoefficientsofentirefunctiondefinedbyDirichletseriesofintherighthalf-planeareobtained.

简介：在这篇文章，作者们与在正确一半飞机会聚的零目学习Laplace-Stieltjes变换的生长，定义指数的目和指数的低目，并且发现在他们之间的关系。类似于Dirichlet系列的一些结果被获得。

简介：Exactsolutionsinelementaryfunctionsarederivedforthestressandelectricdisplacementintensityfactorsofahalf-planecrackinatransverselyisotropicpiezoelectricspaceinteractingwithvariousresultantsources,includingforcedipole,electricdipole,moment,forcedilatationandrotation.Suchforceandchargesourcesmaymodeldefectslikevacancies,foreignparticlesanddislocations.Thelocationsandorientationsofthestressandchargesourceswithrespecttothecrackarearbitrary.

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

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简介：这篇论文在poroelastic一半空间由一个2-D洞为飞机SV波浪的衍射论述一个间接边界集成方程方法。格林的功能压缩并且砍波浪来源基于Biot的理论被导出。散布波浪近用虚构波浪来源被构造到洞的边界，并且他们的大小被边界条件决定。精确性的确认旁边被执行：(1)检查边界的满足程度调节，(2)把一个single-phased盒子的堕落答案与著名答案作比较，并且(3)检验答案的数字稳定性。在在poroelastic一半空间的一个洞附近的飞机SV波浪的衍射的性质被数字例子调查。

简介：DiffractionofplanePwavesaroundanalluvialvalleyofarbitraryshapeinporoelastichalf-spaceisinvestigatedbyusinganindirectboundaryintegralequationmethod.BasedontheGreen'sfunctionsoflinesourceinporoelastichalf-space,thescatteredwavesareconstructedusingthefictitiouswavesourcesclosetotheinterfaceofthevalleyandthedensityoffictitiouswavesourcesaredeterminedbyboundaryconditions.Theprecisionofthemethodisverifiedbythesatisfactionextentofboundaryconditions,andthecomparisonbetweenthedegeneratedsolutionsandavailableresultsinsingle-phasecase.Finally,thenatureofdiffractionofplanePwavesaroundanalluvialvalleyinporoelastichalf-spaceisinvestigatedindetailthroughnumericalexamples.

简介：Thispaperpresentsaclosed-formsolutionfordiffractionofplaneSHwavesbyasemi-circularcavityinhalf-spacebyusingwavefunctionexpansionmethod.Accuracyofthesolutionischeckedbythedisplacementresidualandstressresidualalongtheboundaries.Numericalresultsshowthattherearenotabledifferencesforresponseamplitudesbetweenasemi-circularcavityandawhole-circularcavityinahalf-space.

简介：Thispaperpresents2.5DscatteringofincidentplaneSHwavesbyacanyoninlayeredhalf-spacebytheindirectboundaryelementmethod(IBEM).Thefreefieldresponseiscarriedouttogivethedisplacementsandstressesonthelinewhichformsboundaryofthecanyon.ThefictitiousuniformmovingloadsareappliedtothesamelinetocalculatetheGreen'sfunctionsforthedisplacementsandstresses.Theamplitudesoftheloadsaredeterminedbytheboundaryconditions.Thedisplacementsduetothefreefieldandfromthefictitiousuniformmovingloadshavetobeaddedtoobtainthewholemotion.Thenumericalresultsarecarriedoutforthecasesofacanyoninhomogenousandinonelayeroverbedrock.Theresultsshowthatthe2.5Dwavescatteringproblemisessentiallydifferentfromthe2Dcase,andthereexistdistinctdifferencesbetweenthewaveamplificationbyacanyoninlayeredhalf-spaceandthatinhomogeneoushalf-space.Thereasonsforthedistinctdifferenceareexplored,andtheeffectsofthethicknessandstiffnessofthelayerontheamplificationarediscussed.

简介：Mechanic:“Abrakejobisgonnarunyouaround(?)500.”Customer:“Giveme250bucks’worth.Itonlyrunshalfthetimeany-way.”

简介：在在JAMA和JAMA实习生Med出版的一系列使随机化的控制试用，美国研究人员与睾丸激素层次在老人检验了睾丸激素治疗的效果1，1认知功能，2贫血症，3并且容量的骨头density.4当试用在贫血症和骨头密度关于改进显示出积极结果时，长术语的研究被要求描出在这张人口的长期的风险和好处。

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简介：按照美国风俗，在一个人的两次生日之间还有一次“准生日”——Half-birthday。比如说你的生日是5月18日，那么在当年的11月18目，你还可以过一次生日，那天就是你的准生日。对于广大的美国儿童来说，这样就又多了一次欢庆生日和收到生日礼物的机会，这无疑是一件令人高兴的事。

简介：Becausetheimporthasgreatlyincreasedandthepriceoftheimportedproductshasbeenremaininghighfromthebeginningofthisyear,thusthetariffsoars.AccordingtothelateststatisticsfromGeneralAdministrationofCustoms,thenationaltariffandimportedtaxinthefirsthalfofthisyeartotaledtoTMB240.3billion,whichisin

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简介：WedefinethenotionofevolutesofcurvesinahyperbolicplaneandestablishtherelationshipsbetweensingularitiesofthesesubjectsandgeometricinvariantsofcurvesundertheactionoftheLorentzgroup.WealsodescribehowwecandrawthepictureofanevoluteofahyperbolicplanecurveinthePoincarédisk.

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简介：Bydevelopingthedominancetechniqueofnondecreasingintegersequencesintoamultifoldform,weintroduceanewapproachfortheenumerationofplanepartitions,whichcanbeusedtogeneratemostofclassicaltheoremsinthisfield.Thetreatmentpresentedheremaybemoreaccessibletoreadersthantheearliermethodsofalgebra,analysisandalgorithm.