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42 个结果
  • 简介:Thispaperpresentsanewboundaryintegralequatiònfortwo-dimensionalelasticitywiththestresscomponentσijtitjasoneoftheboundaryvalues,wheretiisthedirectioncosineofthetangentontheboundary.ThisformofBEMhasanadvantageinthatthestresscomponentσijtitjontheboundarycanbecalculateddirectlyfromthenumericalsolution.Thepresentformulationforplaneproblemsusestwokernels,theoneislogarithmicallysingularandtheotheris1/rsingular.Theeffectivenessoftheapproachisalsodiscussedthroughtestexamples.

  • 标签: BOUNDARY ELEMENTS BOUNDARY STRESS COMPONENTS
  • 简介:Inmagneticresonanceelastography,oneseekstoreconstructtheshearmodulusfrommeasurementsofthedisplacementfieldinthewholebody.Inthispaper,wepresentanoptimizationapproachwhichsolvestheproblembysimplyminimizingadiscrepancyfunctional.Inordertorecoveracomplexanomalyinahomogenousmedium,wefirstobservethattheinformationcontainedinthewavefieldshouldbedecomposedintotwoparts,a'near-field'partintheregionaroundtheanomalyanda'far-field'partintheregionawayfromtheanomaly.Aswillbejustifiedboththeoreticallyandnumerically,separatingthesescalesprovidesalocalandprecisereconstruction.

  • 标签: 分离方法 数值研究 成像 弹性 剪切模量 实地测量
  • 简介:Thisletterreportstrafficflowsensitivitytovisco-elasticity,withthetrafficflowmodelingbrieflydescribedatfirstandthenusedtodotrafficflowsimulationswhoseresultscanreflectthepropertiesofspatial–temporalevolutionofringtrafficflow.Itrevealsthatvisco-elasticityplayscrucialroleinformationoftrafficflowpatterns,implyingthatself-organizationoftrafficflowiscrucialindeterminingtrafficflowstatus.

  • 标签: 交通流量 粘弹性 敏感性 交通流模拟 交通流模式 交通流状态
  • 简介:Inthisarticle,byusingthestabilityofCauchytypeintegralwhenthesmoothperturbationforintegralcurveandtheSobolevtypeperturbationforkerneldensityhappen,wediscussthestabilityofthesecondfundamentalprobleminplaneelasticitywhenthesmoothperturbationfortheboundaryoftheelasticdomain(unitdisk)andtheSobolevtypeperturbationforthedisplacementhappen.Andtheerrorestimateofthedisplacementbetweenthesecondfundamentalproblemanditsperturbedproblemisobtained.

  • 标签: 平面弹性 稳定性 位移 扰动问题 柯西型积分 积分曲线
  • 简介:Therelationsofallgeneralizedvariationalprinciplesinelasticityarestudiedbyemployingtheinvariancetheoremoffieldtheory.Theinfinitesimalscaletransformationinfieldtheorywasemployedtoinvestigatetheequivalenttheorem.Amongtheresultsfoundparticularlyinterestingarethoserelatedtothatallgeneralizedvariationalprinciplesinelasticityareequaltoeachother.Alsostudiedresultisthatonlytwovariablesareindependentinthefunctionalandthestress-strainrelationisthevariationalconstraintconditionforallgeneralizedvariationalprinciplesinelasticity.ThisworkhasprovenagaintheconclusionofProf.ChienWei-zang.

  • 标签: 弹性力学 变分法 刻度转换 不变性 普通变分原则
  • 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:Inthispaper,theauthorobtainsthemoregeneraldisplacementsolutionsfortheisotropicplaneelasticityproblems.Thegeneralsolutionobtainedinref.[1]ismerelytheparticularcaseofthispaper,Incomparisonwithref.[1],thegeneralsolutionsofthispapercontainmorearbitraryconstants.Thustheymaysatisfymoreboundaryconditions.

  • 标签: PLANE ELASTICITY problem DISPLACEMENT solutions BIHARMONIC
  • 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.

  • 标签: ANISOTROPIC ELASTICITY Stroh FORMALISM MIXED BOUNDARY
  • 简介:Thispaperpresentsasimplenonparametricregressionapproachtodata-drivencomputinginelasticity.Weapplythekernelregressiontothematerialdataset,andformulateasystemofnonlinearequationssolvedtoobtainastaticequilibriumstateofanelasticstructure.Preliminarynumericalexperimentsillustratethat,comparedwithexistingmethods,theproposedmethodfindsareasonablesolutionevenifdatapointsdistributecoarselyinagivenmaterialdataset.

  • 标签: DATA-DRIVEN computational mechanics MODEL-FREE METHOD NONPARAMETRIC
  • 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。

  • 标签: 非局部弹性理论 轴向振动 振动分析 纳米棒 自由边界条件 振动频率
  • 简介:Theexactformoftheexteriorproblemforplaneelasticityproblemswasproducedandfullyprovedbythevariationalprinciple.Basedonthis,theequivalentboundaryintegralequations(EBIE)withdirectvariables,whichareequivalenttotheoriginalboundaryvalueproblem,werededucedrigorously.TheconventionallyprevailingboundaryintegralequationwithdirectvariableswasdiscussedthoroughlybysomeexamplesanditisshownthatthepreviousresultsarenotEBIE.

  • 标签: 等价边界方程 间接变量 EBIE 平面弹性问题 初始边界值 结构力学
  • 简介:一条球形的人工的边界上的准确边界条件在这篇论文为线性弹性的三维的外面的问题被导出。在这个边界条件在人工的边界上被强加以后,仅仅在一个围住的领域定义的一个减少的问题被获得。如果一个人在变化明确的表达截断系列条款,有增加精确性的一系列近似问题能被导出,它等价于减少的问题。错误估计被介绍显示出错误怎么取决于有限elementdiscretization和近似问题的精确性。最后,一个数字例子被给表明建议方法的表演。

  • 标签: 人工边界法 三维外型 非线性弹性 精确度 误差估计
  • 简介:Inthispaper,anewnumericalmethodfortheSignoriniprobleminthree-dimensionalelasticityispresented.Theproblemisreducedtoaboundaryvariationalinequalitybasedonanewrepresentationofthederivativeofthedoublelayerpotential.Furthermore,aboundaryelementprocedureisdescribedforthenumericalapproximationofitssolutionandanabstracterrorestimateisgiven.

  • 标签: Signorini PROBLEM BOUNDARY ELEMENT method
  • 简介:Constitutiverelationsaregivenforthedescriptionofthedeformationbehaviorofshapememorymaterials.Thedeformationisthesuperpositionoftheelastic,thethermalandthephasetransformationdeformationcausedbythetransformationfromonetotheotheramongthehightemperaturephase,thelowtemperaturephaseandthestressinducedphase.Thephasetransformationiscontrolledbythedrivingforce,i.e.,theGibbsenergydifferencebetweenthephases.

  • 标签: SHAPE MEMORY material pseudo-elastic deformation SHAPE
  • 简介:ThispaperprovidesasolutionforthedegeneratescaleforN-gonconfigurationinantiplaneelasticityusingtheconformalmappingfunction,andthelowerandupperboundsforthedegeneratescaleforN=3,4,5,6,7,8,10,20,30,40,50,100,150and200,areevaluated.

  • 标签: 反平面弹性 配置 量表 退化 评估 保角映射函数
  • 简介:backgroundStudiesshowedthatarterialelasticitychangesappearearlierthananystructuralchanges,therefore,itsaccurateevaluationcouldbeappliedatearlystagetopreventdisease.Echo-tracking(E-tracking)techniquecantrackthewallmotiontrajectoryinreal-time,calculatethechangeinvasculardiameterautomatically,andassessmentofvascularstiffnessandflexibilitydirectly.Thisarticleaimstoassessthechangeofelasticityofcarotidarteryafterhormonetherapy(HT)usingEcho-trackingtechnology.MethodsEcho-trackingwasusedtoevaluatethecarotidelasticmoduli,suchasthepressure-strainelasticmodulus(Eρ),stiffnessparameter(β),arterialcompliance(AC),pulsewaveconductingvelocity(PWVβ)andaugmentationindex(AI)byAlokaα10colorDopplerultrasounddiagnosissystem.ResultsEρ,βandPWVβinHTgroupweresignificantlylowerthanthoseinthecontrolgroup(P<0.01),whileACwasobviouslyhigherthanthecontrolgroup(P<0.01).E2wasnegativelyrelatedtoβ,EρandPWVβ(r=-0.607,r=-0.573,r=-0.574,P<0.001),whilepositivelyrelatedtoAC(r=0.574,P<0.001);endothelial-dependentdilatation(EDD)wasnegativelyrelatedtoβ,EρandPWVβ(r=-0.521,r=-0.411,r=-0.456,P<0.001),whilepositivelyrelatedtoAC(r=0.443,P<0.001);ButIMTwaspositivelyrelatedtoβ,EρandPWVβ(r=0.553,r=0.444,r=0.529,P<0.001),whilenegativelyrelatedtoAC(r=-0.400,P<0.001).ConclusionsArterialstiffnessincreasesandcompliancedecreasesinmenopausalwomen.AsEDDdecreasesarterialelasticityrecedes,andHTcanimprovearterialelasticity.E-trackingtechnologycandiscovertheearlychangesinarterialstiffnesseffectivelyanditismoresensitiveinfindingoutthechangesofstiffnessinearlyatherosclerosisthanIMTofcarotidartery.

  • 标签: 跟踪技术 弹性刚度 颈动脉 回声 激素疗法 超声诊断系统