连续介质力学实级教程（第3版）

连续介质力学实级教程（第3版）
作　者： 冯元桢
出版社： 清华大学出版社
丛编项： 国际著名力学图书影印版系列
版权说明： 本书为公共版权或经版权方授权，请支持正版图书
标　签： 连续介质学 高等学校 教材 英文
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作者简介

暂缺《连续介质力学实级教程（第3版）》作者简介

内容简介

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。

图书目录

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