The elastic coefficients of the theory of consolidation.PDF

The elastic coefficients of the theory of consolidation.PDF

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时间:2019-03-07

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1、(ReprintedfromtheJournalofAppliedMechanicsforDecember,19G?‘,pages594-601,withpermissionofCopyrightOwner)TheElasticCoeffkientsoftheTheoryofConsolidationBYM.A.BIOTlANDD.G.WILLIS2Thetheoryofthedeformationofaporouselasticsolidcaseofahomogeneousandisotropicporousmatrix.Hughe

2、sandcontainingacompressiblefluidhasbeenestablishedbyCooke(8)describedmeasurementsofporevolumeandporosityinBiot.Inthispaper,methodsofmeasurementarede-jacketedcompressiontests,whichwouldapplytoasystemcon-scribedforthedeterminationoftheelasticcoefficientsoftaininganincompr

3、essiblefluidcompletelyfillingthepores.thetheory.ThephysicalinterpretationofthecoefficientsInthepresentpapermethodsofmeasurementaredescribedforinvariousalternateformsisalsodiscussed.Anycom-thedeterminationoftheelasticcoefficientsofreferences(1,2,3,binationofmeasurementsw

4、hichissufficienttofixthe4).Thephysicalinterpretationoftheelasticcoefficientsinpropertiesofthesystemmaybeusedtodeterminetheco-variousalternateformsisalsodiscussed.efficients.Foranisotropicsystem,inwhichtherearefourInSection2it,isshownthattheelasticcoefficientsA,N,Q,andco

5、efficients,thefourmeasurementsofshearmodulus,Rmaybeexpressedintermsoffourdirectlymeasurablecoeffi-jacketedandunjacketedcompressibility,andcoefficientcientsp,K,6,y,andtheporosityfactorf.Itispointedoutthatoffluidcontent,togetherwithameasurementofporosityundercertainassump

6、tionsthecoefficientydoesnotneedtobeappeartobethemostconvenient.Theporosityisnotre-measuredifweknow4hefluidcompressibilitycandalreadyquiredifthevariablesandcoefficientsareexpressedinthehavemeasured6andf.Otherelasticcoefficientsp,X,(Y,andMproperway.Thecoefficientoffluidco

7、ntentisameasurearediscussedinSection3.Theymaybeexpressedintermsoftheofthevolumeoffluidenteringtheporesofasolidsamplemeasurablecoefficientscc,K,6,andywithoutreferencetoporosity.duringanunjacketedcompressibilitytest.Thestress-Useoftheconstantsp,h,01,andMaremoreconvenienti

8、nap-strainrelationsmaybeexpressedintermsofthestressesplicationtoconsolidationproblems,i.e.,whentheinertiaforce

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