连续介质力学实级教程（第3版）

连续介质力学是流体力学、固体力学、生物力学、热科学、材料科学等多种学科共同的理论基础。本书由国际著名力学家、生物力学创始人冯元桢教授所著。概念清晰、叙述简明、内容丰富而新颖，讲授中十分重视培养学生将实际工程和科学问题抽象为数学方程和定解条件的能力。出版后被公认为连续介质力学的优秀入门教材。本书可以作为我国高年级本科生和研究生“连续介质力学”课程的外文教材或“流体力学”、“弹性力学”课程的教学参考书，对从事物理和生物领域的工程师和科学家们也是十分有益的重要参考书。本书特色：1.概念简单、应用具体、叙述简明、内容丰富而新颖，是连续介质力学的优秀入门教材。2.十分重视培养学生将实际工程和科学问题抽象为数学方程和定解条件的能力，训练学生提问、分析、设计和创新的能力。3.为物理和生物界的工程师和科学家们所写，书中有关生物力学的内容是本书的亮点之一，是一般连续介质力学教材中找不到的。4.作为教材的重要组成部分，书中穿插了大量思考题和习题。

暂缺《连续介质力学实级教程（第3版）》作者简介

PrefacetotheThirdEdition
PrefacetotheFirstEdition
Introduction.
1.1Theobjectiveofthiscourse
1.2Applicationstoscienceandtechnology
1.3Whatismechanics?
1.4Aprototypeofacontinuum:Theclassicaldefinition
1.5Ourdefinitionofacontinuum
1.6Theconceptofstressinourdefinitionofacontinuum
1.7Abstractcopyofarealcontinuum
1.8Whatiscontinuummechanicsabout?
1.9Axiomsofcontinuummechanics
1.10Abiologicalexampleofahierarchyofcontinuadependingonthesizeoftheobjectinvolvedinascientificinquiry
1.11Elementarytopicthroughwhichbasicideasevolved
2VectorsandTensors
2.1Vectors
2.2Vectorequations
2.3Thesummationconvention
2.4Translationandrotationofcoordinates
2.5Coordinatetransformationingeneral
2.6Analyticaldefinitionsofscalars,vectors,andCartesiantensors
2.7Thesignificanceoftensorequations
2.8Notationsforvectorsandtensors:Boldfaceorindices?
2.9Quotientrule
2.10Partialderivatives
3Stress
3.1Theideaofstress
3.2Thelawsofmotion
3.3Cauchy'sformula
3.4Equationsofequilibrium
3.5Changeofstresscomponentsintransformationofcoordinates
3.6Stresscomponentsinorthogonalcurvilinearcoordinates
3.7Stressboundaryconditions
4PrincipalStressesandPrincipalAxes
4.1Introduction
4.2Planestateofstress
4.3Mohr'scircleforplanestress
4.4Mohr'scirclesforthree-dimensionalstressstates
4.5Principalstresses
4.6Shearingstresses
4.7Stress-deviationtensor
4.8Lam6'sstressellipsoid
5AnalysisofDeformation
5.1Deformation
5.2Thestrain
5.3Straincomponentsintermsofdisplacements
5.4Geometricinterpretationofinfinitesimalstraincomponents
5.5Infinitesimalrotation
5.6Finitestraincomponents
5.7Principalstrains:Mohr'scircle
5.8Infinitesimalstraincomponentsinpolarcoordinates
5.9Directderivationofthestrain-displacementrelationsinpolarcoordinates
5.10Otherstrainmeasures
6VelocityField.andCompatibilityConditions
6.1Velocityfields
6.2Thecompatibilitycondition
6.3Compatibilityofstraincomponentsinthreedimensions
7ConstitutiveEquations
7.1Specificationofthepropertiesofmaterials
7.2Thenonviscousfluid
7.3Newtonianfluid
7.4Hookeanelasticsolid
7.5Effectoftemperature
7.6Materialswithmorecomplexmechanicalbehavior
8Isotropy..
8.1Theconceptofmaterialisotropy
8.2Isotropictensor
8.3Isotropictensorsofrank3
8.4Isotropictensorsofrank4
8.5Isotropicmaterials
8.6Coincidenceofprincipalaxesofstressandofstrain
8.7Othermethodsofcharacterizingisotropy
8.8Canwerecognizeamaterial'sisotropyfromthemicrostructure?
9MechanicalPropertiesofRealFluidsandSolids
9.1Fluids
9.2Viscosity
9.3Plasticityofmetals
9.4Materialswithnonlinearelasticity
9.5Nonlinearstress-strainrelationshipsofrubberandbiologicaltissues
9.6Linearviscoelasticbodies
9.7Quasi-linearviscoelasticityofbiologicaltissues
9.8Non-Newtonianfluids
9.9Viscoplasticmaterials
9.10Sol-geltransformationandthixotropy
DerivationofFieldEquations
10.1Gauss'stheorem
10.2Materialdescriptionofthemotionofacontinuum
10.3Spatialdescriptionofthemotionofacontinuum
10.4Thematerialderivativeofavolumeintegral
10.5Theequationofcontinuity
10.6Theequationsofmotion
10.7Momentofmomentum
10.8Thebalanceofenergy
10.9Theequationsofmotionandcontinuityinpolarcoordinates
FieldEquationsandBoundaryConditionsinFluidMechanics
11.1TheNavier-Stokesequations
11.2Boundaryconditionsatasolid-fluidinterface
11.3Surfacetensionandtheboundaryconditionsataninterfacebetweentwofluids
11.4DynamicsimilarityandReynoldsnumber
11.5Laminarflowinahorizontalchannelortube
11.6Boundarylayer
11.7Laminarboundarylayeroveraflatplate
11.8Nonviscousfluid
11.9Vorticityandcirculation
11.10Irrotationalflow
11.11Compressiblenonviscousfluids
11.12Subsonicandsupersonicflow
11.13Applicationstobiology
SomeSimpleProblemsinElasticity
12.1Basicequationsofelasticityforhomogeneous,isotropicbodies
12.2Planeelasticwaves
12.3Simplifications
12.4Torsionofacircularcylindricalshaft
12.5Beams
12.6Biomechanics
Stress,Strain,andActiveRemodelingofStructures
13.1Introduction
13.2Howtodiscoverthezero-stressstateofmaterialinasolidbody
13.3Remodelingthezero-stressstateofastructure:Abiologicalexampleofactiveremodelingduetochangeinstress
13.4Changeofzero-stressstatewithtemperature:Materialsthat"remember''theirshapes
13.5Morphologicalandstructuralremodelingofbloodvesselduetoachangeinbloodpressure
13.6Remodelingofmechanicalproperties...
13.7Stressanalysiswiththezero-stressstatetakenintoaccount
13.8Stress-growthrelationship
Index