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1、ConnectionsbetweenElasticandConductivePropertiesofHeterogeneousMaterialsIgorSevostianov1andMarkKachanov21DepartmentofMechanicalEngineering,NewMexicoStateUniversity,P.O.Box30001,LasCruces,NM88003,USAigor@nmsu.edu2DepartmentofMechanicalEngineering,TuftsUniversity,Medford,MA
2、02155,USAmark.kachanov@tufts.eduAbstract.....................................................711.Introduction..................................................722.OverviewofExistingApproachestoCross-propertyConnections.....742.1.Bristow’sElasticity–ConductivityConnectionf
3、oraMicrocrackedMaterial....................................742.2.Cross-propertyConnectionsInvolvingtheBulkModulus.......762.3.Cross-propertyBounds....................................802.4.Cross-propertyConnectionsforPiezoelectricFiber-reinforcedComposites.................
4、.............................922.5.EmpiricalObservationsonCross-propertyRelations...........943.QuantitativeCharacterizationofMicrostructures:GeneralConsiderations........................................953.1.SimplestMicrostructuralParametersandtheirLimitations...........
5、..............................973.2.MicrostructuralParametersareRootedintheNon-interactionApproximation...........................................993.3.CasesofOverallIsotropy..................................1003.4.Bene?tsoftheProperMicrostructuralParameters.............1
6、014.MaterialswithIsolatedInhomogeneities:MicrostructuralParametersfortheEffectiveElasticityandEffectiveConductivity...............1024.1.GeneralConsiderations....................................1034.2.QuantitativeCharacterizationofCracks......................1064.3.Exampl
7、e:Two-dimensionalEllipticHoles....................1114.4.Three-dimensionalInhomogeneities.........................1134.5.SpheroidalInhomogeneities................................1154.6.MicrostructuralParametersforConductiveProperties:ComparisonwithParametersforElasticProp
8、erties.............1264.7.InhomogeneitiesofIrregularShapes.........................131ADVANCESIN
