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简介：Theeffectofdiffusiononthermoelasticthinplatesisinvestigated.Thegoverningequationsforthinthermoelasticdiffusionplatesunderthreedifferentlawsofheatanddiffusiontransmissionarederived.BytheC0-semigrouptheory,thewell-posednessoftheproposedequationsisshown.

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简介：Thispaperpresentsthevibrationssuppressionofathermoelasticbeamsubjecttosuddenheatinputbyasinglepiezoelectricactuator.Anoptimizationproblemisformulatedastheminimizationofaquadraticfunctionalintermsofdisplacementandvelocityatagiventimeandwiththeleastcontroleffort.Thesolutionmethodisbasedonacombinationofmodalexpansionandvariationalapproaches.Themodalexpansionapproachisusedtoconverttheoptimalcontrolofdistributedparametersystemintotheoptimalcontroloflumpedparametersystem.Byutilizingthevariationalapproach,anexplicitoptimalcontrollawisderivedandthedeterminationofthecorrespondingdisplacementandvelocityisreducedtosolvingasetofordinarydifferentialequations.Numericalresultsarepresentedtodemonstratetheeffectivenessandtheapplicabilityoftheproposedmethod.

简介：马氏体域形成，进化和歼灭广泛地在superelasticNiTi多晶的形状存储器合金的导致压力的阶段转变被观察。由热力学的驱动力的计算和接口的磨擦动力学的加入，领域形态学和它的进化被追踪接口的技术成功地模仿。计算结果与张力的脱衣的试验性的观察同意很好。基于理论、计算的结果，我们在在不同领域模式之间的转变上讨论了批评驱动力和metastability的存在的效果。

简介：Thepresentworkaimstoestablishafractional-ordergeneralizedthemoelasticdiffusiontheoryforanisotropicandlinearlythermoelasticdiffusivemedia.Tonumericallyhandlethemulti-physicsproblemsexpressedbyasequenceofincompletedifferentialequations,particularlybyafractionalequation,ageneralizedvariationalprincipleisobtainedfortheunifiedtheoryusingasemi-inversemethod.Innumericalimplementation,thedynamicresponseofasemi-infinitemediumwithoneendsubjectedtoathermalshockandachemicalpotentialshockisinvestigatedusingtheLaplacetransform.Numericalresults,i.e.,non-dimensionaltemperature,chemicalpotential,anddisplacement,arepresentedgraphically.Theinfluenceofthefractionalorderparameteronthemisevaluatedanddiscussed.

简介：为尾鈭??，作者在未知变量u和伪考虑进化系统

简介：这份报纸学习多相的thermoelasticcomposites的有效性质。把免费精力和吉布斯基于Helmholtz多相的composites的单个阶段，有效有弹性的张肌，热扩大的张肌，和特定的热的免费精力借助于体积一般水准被导出这些阶段免费精力。特别强调以经常紧张、经常压力的状况，修改Eshelby的micromechanics理论在被开发被放在有效的特定的热的新分析表情的推导上，在包括之间的相互作用被考虑。作为一个解说性的例子，为三阶段的thermoelastic的有效的特定的热的分析表示合成被介绍。

简介：Thispaperisconcernedwiththethermoelasticbehaviorsofanelasticmediumwithvariablethermalmaterialproperties.Theproblemisinthecontextoffractionalorderheatconduction.Thegoverningequationswithvariablethermalpropertieswereestablishedbymeansofthefractionalordercalculus.Theproblemofahalf-spaceformedofanelasticmediumwithvariablethermalmaterialpropertieswassolved,andasymptoticsolutionsinducedbyasuddentemperatureriseontheboundarywereobtainedbyapplyinganasymptoticapproach.Thepropagationsofthermoelasticwaveandthermalwave,aswellasthedistributionsofdisplacement,temperatureandstresseswereobtainedandplotted.Variationsinthedistributionswithdifferentvaluesoffractionalorderparameterwerediscussed.Theresultswerecomparedwiththoseobtainedfromthecaseofconstantmaterialpropertiestoevaluatetheeffectsofvariablematerialpropertiesonthermoelasticbehaviors.

简介：Thispaperisconcernedwiththenumericaltechniquebasedonthemethodofcharacter-isticsforthree-dimensionaldynamicthermoelasticproblems.Anumericalexampleforthethree-di-mensionalstresswavepropagationinathermoelasticbarofsquarecrosssectionsubjectedtobothanimpactloadingandathermalshockispresented.

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简介：Thethermalshockproblemsinvolvedwithfractionalordergeneralizedtheoryisstudiedbyananalyticalmethod.TheasymptoticsolutionsforthermalresponsesinducedbytransientthermalshockarederivedbymeansofthelimittheoremofLaplacetransform.Aninfinitesolidwithacylindricalcavitysubjectedtoathermalshockatitsinnerboundaryisstudied.Thepropagationofthermalwaveandthermalelasticwave,aswellasthedistributionsofdisplacement,temperatureandstressesareobtainedfromtheseasymptoticsolutions.Theinvestigationontheeffectoffractionalorderparameteronthepropagationoftwowavesisalsoconducted.

简介：Adynamicthermoelasticsolutionofacylindricallyisotropiccylindricaltubeorsolidcylinderwithaxisymmetricplanedeformationsisdeveloped.Sincethereexistthermalboundaryconditionsandtrac-tionsonthetwosurfacesofacylindricaltube,theproblemunderconsiderationiswithinhomogeneousbound-aryconditions.Thereforeweintroduceaspecialfunctiontotransformtheinhomogeneousboundaryconditionstohomogeneousonesforanunknownfunction.Thenbyusingthemethodofseparationofvariables,theun-knownfunctioncanbeexpressedasthemultiplicationseriesofBesselfunctionsandunknowntimefunctions.Thirdly,byvirtueoftheorthogonalpropertiesofBesselfunctions,theequationsabouttheseunknowntimefunctionsarederivedandthesolutionsareobtained.Finally,thedisplacementisobtainedbyaddingthetwopartsmentionedabove.Bymeansofthepresentmethod,integraltransformcanbeavoided.Itissuitableforarbitrarythermalloadsandmechanicalloads.Numericalresultsarealsopresentedforthermalshocked,cy-lindricallyisotropiccylindricaltubeandsolidcylinder.

简介：thermoelasticity的Green-Naghdi(G-N)理论被采用就对飞机表面起作用的各种各样的来源的影响而言与虚空学习micropolarthermoelastic固体的变丑。正常模式分析被用来获得排水量部件，力量压力，联合压力，卷部分地的变化和温度分发的分析表达式。当体积来源被使用时，计算结果图形地被介绍。有或没有micropolarity效果的类型II和类型III的比较被做，结果在上下文预言了(G-N)理论。

简介：BasedontheLordandShulmangeneralizedthermoelasticitytheorywithonerelaxationtime,anisotropicsemi-infiniteplatesubjectedtoamovingheatsourcehasbeenstudiedbyemployingthefiniteelementmethoddirectlyintimedomain,whosedistributionsofnondimensionaltemperature,displacementandstressareillustratedgraphically.Theresultsshowthatthepresentmethodisaneffectiveandexactnumericaloneforsolvingthethermoelasticcouplingproblemandiscapableofovercomingthedefectsoftraditionalintegratedtransformationandinverseintegratedtransformationmethods.Atthesametime,thetemperaturestepofthethermalwavefrontisobtainedexactlyincontrastwithconventionalnumericaltransformationmethods.