简介：当考虑热传导时，阶段地建模途径被用来学习纯Ni的氧化行为。在这计算，温度T上的Cahn-Hilliard方程Lc的系数的依赖被考虑。到这个目的，为纯Ni当模特儿的高温度的氧化实验和阶段地在600点在气压下面在空中被执行，700，并且\(800\，^{\circ}\hbox{C}\)。氧化率被thermogravimetry测量，在这些温度的Lc经由交互算法是坚定的。与Lc\({构造的-}T\)关系，Ni的氧化行为当考虑热时，传导被调查。氧化度，氧化物电影厚度，和特定的重量获得上的温度边界的影响被讨论。当模特儿的途径在这研究建议了的阶段地将给氧化抵抗分析的一些热点和热保护材料的冷却措施设计。

简介：Thispaperpresentsahybridgradedelementmodelforthetransientheatconductionprobleminfunctionallygradedmaterials(FGMs).First,aLaplacetransformapproachisusedtohandlethetimevariable.Then,afundamentalsolutioninLaplacespaceforFGMsisconstructed.Next,ahybridgradedelementisformulatedbasedontheobtainedfundamentalsolutionandaframefield.Asaresult,thegradedpropertiesofFGMsarenaturallyreflectedbyusingthefundamentalsolutiontointerpolatetheintra-elementfield.Further,Stefest'salgorithmisemployedtoconverttheresultsinLaplacespacebackintothetime-spacedomain.Finally,theperformanceoftheproposedmethodisassessedbyseveralbenchmarkexamples.Theresultsdemonstratewelltheefficiencyandaccuracyoftheproposedmethod.

简介：Thispaperpresentstwoexactexplicitsolutionsforthethreedimensionaldual-phaselag(DLP)heatconduc-tionequation,duringthederivationofwhichthemethodoftrialanderrorandtheauthors'previousexperiencesareuti-lized.Totheauthors'knowledge,mostsolutionsof2Dor3DDPLmodelsavailableintheliteratureareobtainedbynumericalmethods,andtherearefewexactsolutionsuptonow.Theexactsolutionsinthispapercanbeusedasbenchmarkstovalidatenumericalsolutionsandtodevelopnumericalschemes,gridgenerationmethodsandsoforth.Inaddition,theyareoftheoreticalsignificancesincetheycorrespondtophysicallypossiblesituations.Themaingoalofthispaperistoobtainsomepossibleexactexplicitsolu-tionsofthedual-phaselagheatconductionequationasthebenchmarksolutionsforcomputationalheattransfer,ratherthanspecificsolutionsforsomegiveninitialandboundaryconditions.Therefore,theinitialandboundaryconditionsareindeterminatebeforederivationandcanbededucedfromthesolutionsafterwards.Actually,allsolutionsgiveninthispapercanbeeasilyprovenbysubstitutingthemintothegoverningequation.