各向异性表面张力及动力学效应对三维枝晶定常生长的影响的开题报告.docx

各向异性表面张力及动力学效应对三维枝晶定常生长的影响的开题报告

Title:TheEffectsofAnisotropicSurfaceTensionandDynamicBehaviorontheSteadyGrowthofThree-DimensionalDendrites

Introduction:

Thegrowthofdendritesplaysacrucialroleinmanyindustrialprocesses,suchasmaterialscience,metallurgy,andcrystalformation.Theshapeandsizeofdendritesdependonseveralfactors,includingthesurfacetensionatthesolid-liquidinterfaceandthedynamicsofgrowth.Inthisstudy,weaimtoinvestigatehowtheanisotropicsurfacetensionanddynamicbehavioraffectthesteadygrowthofthree-dimensionaldendrites.

Objectives:

Theobjectivesofthisstudyareto:

1.Developamathematicalmodelforthree-dimensionaldendritegrowthincorporatinganisotropicsurfacetensionanddynamiceffects.

2.Investigatetheeffectsofanisotropicsurfacetensiononthegrowthmorphologyandcrystallographicalignmentofdendrites.

3.Analyzethemechanismsthatdeterminethesteadystateshapeofdendritesunderdifferentsurfacetensionconditions.

4.Explorethedynamicsofgrowthandhowtheyinfluencedendriteshapesandsizes.

Methodology:

Ourmethodologywillinvolvethefollowingsteps:

1.Wewilldevelopamathematicalmodeldescribingthegrowthofthree-dimensionaldendritesusingthephase-fieldmethod.

2.Wewillincorporatetheanisotropicsurfacetensionbetweenthesolidandliquidphasesintothemodel,aswellasdynamiceffectssuchaskineticundercoolingandsolutediffusion.

3.Wewillsimulatethegrowthofdendritesunderdifferentsurfacetensionconditionsandanalyzetheresultingshapesandsizesusingcomputersoftware.

4.Wewillinvestigatethemechanismsthatcontrolthesteadystatemorphologyofdendritesunderdifferentconditions,suchastheisotropic/anisotropicsurfacetension,coolingrate,andsoluteconcentration.

Expectedoutcomes:

Theoutcomesofthisstudywillbeasfollows:

1.Wewillgainadeeperunderstandingoftheeffectsofanisotropicsurfacete