6ac8067e0dfb18fc35e723a843592e24c052685a

《6ac8067e0dfb18fc35e723a843592e24c052685a》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、IntroductiontoContinuumMechanicsB.L.N.KennettResearchSchoolofEarthSciencesAustralianNationalUniversityCanberraACT0200AustraliaContents1.Introduction1.1TheNotionofaContinuum1.2DeformationandStrain1.3TheStress-field1.4ConstitutiveRelations1.4.1Solids1.4

2、.2Fluids2.ArbitraryDeformation2.0.1Deformationofanelementofarc2.0.2Successivedeformations2.0.3Deformationofanelementofvolume2.0.1Deformationofanelementofarea2.0.5Homogeneousdeformation2.1Strain2.1.0Stretch2.1.1Changeinincludedangle2.1.2Principalfibres

3、andprincipalstretches2.1.3DecompositionTheorem2.1.4PureRotation2.1.5Tensormeasuresofstrain2.2Planedeformation2.2.1Shear2.2.2Exampleofashearprocess2.3Motion2.4TheContinuityEquation3.TheStressFieldConcept3.0.1Traction3.0.2TensorCharacterofStress3.1Loca

4、lequationsoflinearmotion3.1.1Symmetryofstresstensor3.1.2Stressjumps(continuityconditions)3.2PrincipalBasisforStress3.2.1Stresscircle3.3VirtualWorkRatePrinciple3.3.1Converseprinciple4.ConstitutiveRelations4.0.1Simplematerials4.0.2Materialsymmetry4.0.3

5、Functionaldependence4.1Energybalance4.1.1Neglectofthermaleffects4.2ElasticMaterials4.2.1Materialsymmetry4.3IsotropicElasticMaterial4.3.1Rotation4.3.2CoaxialityofCauchystressandEuleriantriad4.3.3Principalstresses4.3.4Someisotropicworkfunctions4.4Fluid

6、s5.LinearisedElasticity5.0.1Linearisationofdeformation5.1ConstitutuveRelation5.1.1Isotropicresponse5.1.2Interpretationofmoduli5.1.3Relationsbetweenmoduli5.1.4Exampleoflinearisation5.1.5Elasticconstants5.2UniquenessTheorem5.3IntegralTheorems5.3.1Recip

7、rocaltheorem5.3.2RepresentationTheorem5.4ElasticWaves5.4.1Isotropicmedia5.4.2Green’stensorforisotropicmedia5.4.3Interfaces6.SomeFluidFlowProblems6.1TheNavier-Stokesequation6.1.1Heatflow6.1.2Prandtlnumber6.2Rectilinearshearflow6.3Planetwo-dimensionalflow

8、6.3.1Glacialrebound6.4ThermalConvection6.4.1Boussinesqapproximation6.4.2Onsetofconvection7.LinearViscoelasticity7.1Constitutiverelationsforlinearviscoelasticity7.1.1CreepandRelaxation7.1.2Modelsofviscoelasticbehaviour7.1.3Isotropiclinearviscoelastici