连续介质力学中的数学模型（第2版）

图书标准信息

• 作者 [美]特马姆（Roger M.Temam） 著
• 出版社 世界图书出版公司
• 出版时间 2015-01
• 版次 2
• ISBN 9787510084454
• 定价 68.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 342页
• 正文语种 英语

【内容简介】

　　《连续介质力学中的数学模型（第2版）》是作者精心为广大读者朋友们编写而成的，可以让更多的读者朋友们从书中了解到更多的知识，从而提升读者朋友们自身的知识水平。让我们跟随作者的脚步来更好的阅读《连续介质力学中的数学模型（第2版）》中的内容。《连续介质力学中的数学模型（第2版）》可作为物理、力学专业高年级本科生及应用数学、物理学和工程类的研究生的教材和参考书。

【目录】

Preface
Afewwordsaboutnotations
PARTIFUNDAMENTALCONCEPTSINCONTINUUMMECHANICS
1Describingthemotionofasystem：geometryandkinematics
1.1Deformations
1.2Motionanditsobservation（kinematics）
1.3Descriptionofthemotionofasystem：EulerianandLagrangianderivatives
1.4Velocityfieldofarigidbody：helicoidalvectorfields
1.5Differentiationofavolumeintegraldependingonaparameter
2Thefundamentallawofdynamics
2.1Theconceptofmass
2.2Forces
2.3Thefundamentallawofdynamicsanditsfirstconsequences
2.4Applicationtosystemsofmaterialpointsandtorigidbodies
2.5Galileanframes：thefundamentallawofdynamicsexpressedinanon—Galileanframe
3TheCanchystresstensorandthePiola—Kirchhofftensor.Applications
3.1Hypothesesonthecohesionforces
3.2TheCanchystresstensor
3.3Generalequationsofmotion
3.4Symmetryofthestresstensor
3.5ThePiola—Kirchhofftensor
4Realandvirtualpowers
4.1Studyofasystemofmaterialpoints
4.2Generalmaterialsystems：rigidifyingvelocities
4.3Virtualpowerofthecohesionforces：thegeneralcase
4.4Realpower：thekineticenergytheorem
5Deformationtensor，deformationratetensor，constitutivelaws
5.1Furtherpropertiesofdeformations
5.2Thedeformationratetensor
5.3Introductiontorheology：theconstitutivelaws
5.4Appendix.Changeofvariableinasurfaceintegral
6Energyequationsandshockequations
6.1Heatandenergy
6.2ShocksandtheRankine——Hugoniotrelations

PARTⅡPHYSICSOFFLUIDS
7GeneralpropertiesofNewtonianfluids
7.1Generalequationsoffluidmechanics
7.2Staticsoffluids
7.3Remarkontheenergyofafluid
8Flowsofinviscidfluids
8.1Generaltheorems
8.2Planeh'rotationalflows
8.3Transsonicflows
8.4Linearaccoustics
9Viscousfluidsandthermohydraulics
9.1Equationsofviscousincompressiblefluids
9.2Simpleflowsofviscousincompressiblefluids
9.3Thermohydranlics
9.4Equationsinnondimensionalform：similarities
9.5Notionsofstabilityandturbulence
9.6Notionofboundarylayer
10Magnetohydrodynamicsandinertialconfinementofplasmas
10.1TheMaxwellequationsandelectromagnetism
10.2Magnetohydrodynamics
10.3TheTokamakmachine
11Combustion
11.1Equationsformixturesoffluids
11.2Equationsofchemicalkinetics
11.3Theequationsofcombustion
11.4Stefan—Maxwellequations
11.5Asimplifiedproblem：thetwo—speciesmodel
12Equationsoftheatmosphereandoftheocean
12.1Preliminaries
12.2Primitiveequationsoftheatmosphere
12.3Primitiveequationsoftheocean
12.4ChemistryoftheatmosphereandtheoceanAppendix.Thedifferentialoperatorsinsphericalcoordinates

PARTⅢSOLIDMECHANICS
13Thegeneralequationsoflinearelasticity
13.1Backtothestress—strainlawoflinearelasticity：theelasticitycoefficientsofamaterial
13.2Boundaryvalueproblemsinlinearelasticity：thelinearizationprinciple
13.3Otherequations
13.4Thelimitofelasticitycriteria
14Classicalproblemsofelastostatics
14.1Longitudinaltraction——compressionofacylindricalbar
14.2Uniformcompressionofanarbitrarybody
14.3Equilibriumofasphericalcontainersubjectedtoexternalandinternalpressures
14.4Deformationofaverticalcylindricalbodyundertheactionofitsweight
14.5Simplebendingofacylindricalbeam
14.6Torsionofcylindricalshafts
14.7TheSaint—Venantprinciple
15Energytheorems，duality，andvariationalformulations
15.1Elasticenergyofamaterial
15.2Duality—generalization
15.3Theenergytheorems
15.4Variationalformulations
15.5Virtualpowertheoremandvariationalformulations
16Introductiontononlinearconstitutivelawsandtohomogenization
16.1Nonlinearconstitutivelaws（nonlinearelasticity）
16.2Nonlinearelasticitywithathreshold（Henky'selastoplasticmodel）
16.3Nonconvexenergyfunctions
16.4Compositematerials：theproblemofhomogenization
17Nonlinearelasticityandanapplicationtobiomechanics
17.1Theequationsofnonlinearelasticity
17.2Boundaryconditions—boundaryvalueproblems
17.3Hyperelasticmaterials
17.4Hyperelasticmaterialsinbiomechanics

PARTⅣINTRODUCTIONTOWAVEPHENOMENA
18Linearwaveequationsinmechanics
18.1Returningtotheequationsoflinearacousticsandoflinearelasticity
18.2Solutionoftheone—dimensionalwaveequation
18.3Normalmodes
18.4Solutionofthewaveequation
18.5Superpositionofwaves，beats，andpacketsofwaves
19Thesolitonequation：theKorteweg—deVriesequation
19.1Water—waveequations
19.2Simplifiedformofthewater—waveequations
19.3TheKorteweg—deVriesequation
19.4ThesolitonsolutionsoftheKdVequation
20ThenonlinearSchrodingerequation
20.1Maxwellequationsforpolarizedmedia
20.2Equationsoftheelectricfield：thelinearcase
20.3Generalcase
20.4ThenonlinearSchrodingerequation
20.5SolitonsolutionsoftheNLSequation
Appendix.Thepartialdifferentialequationsofmechanics
Hintsfortheexercises
References
Index