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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