复合多孔材料非完美界面数值模拟方法

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1、西南交通大学硕士研究生学位论文第1I页AbstractConcreteisaporouscompositematerialconsistingofaggregatesofdifferentsizesandgeometriesembeddedinacementitiousmatrix．Thebondedlayerbetweentheaggregateandthecementpaste，whichisformedduringthehydrationofthecement，resultsinaparticularinterphasecalledinter

2、facialtransitionZone(ITZ)．Thisinterphase，whosethicknessrangesfromlOI-tmtol00肛m，oftenhasahighporosityduetoalocalexcessofwaterasaliquidfilmformsonthesurfacesoftheaggregatesduringthemixingprocess．Themechanicalandphysicalpropertiesofthismicrostructurearesignificantlydifferentfromt

3、hoseofthesurroundingmaterialphasesandhaveanimportanteffectonthebulkpropertiesofthematerial．Inthefirstpartofthisstudy，weconsiderathree-phaseporoelasticmodelconsistsofaporoelasticmatrixinwhichporoelasticinclusionsareembeddedviaaporoelastictransitionlayerofsmalluniformthickness．W

4、iththehelpofmathematicalframeworksaswellasthegoverningequationsofsaturatedporousmedium，theinterphaseisreplacedbyawellestablishedimperfectinterfacemodelwithnullthickness．Thejumpconditionsacrossageneralporoelasticimperfectinterfacearediscussedindetail．Finally,theextremerigidorfl

5、exibleandweaklyorhighlypermeableimperfectinterfacesarederived．Inthesecondpart，thecoherentimperfectinterfacemodelisadoptedforfurtherstudy．Accordingtothismodel，thedisplacementandporepressurearecontinuousacrosstheinterfacebutthetractionandnormalfluidfluxsufferinterfacialjumps．The

6、secondobjectiveofthisworkistoproposeanefficientnumericalsolutiontotheproblemofporoelasticcompositeswithcoherentimperfectinterfaceundertheregimeofundrainedsaturation．Tothisend，theweakformulationsarefirstestablishedfortherelevantboundaryvalueproblemsoflinearporoelasticityandflui

7、dtransport．Theextendedfiniteelementmethod(XFEM)andlevel-setmethod(LSM)arethenusedtoelaborateanumericalprocedureviaMatlab．Theaccuracyandconvergencerateofthisprocedureareanalyzedwiththeaidofabenchmarkproblemwhoseanalyticalexactsolutionisderived．Thenumericalprocedureproposedturns

8、outtobeefficientincapturingtheinterfacialdiscontinuitiesandco