有限元方法固体力学和结构力学（第6版）

有限元方法固体力学和结构力学（第6版）

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作者: [英] 监凯维奇著

出版社: 世界图书出版公司

出版时间: 2009-01

版次: 1

ISBN: 9787506292559

定价: 89.00

装帧: 平装

开本: 24开

纸张: 胶版纸

页数: 631页

正文语种: 英语

分类: 自然科学

1 张插图图片

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　　《有限元方法固体力学和结构力学(第6版)》isdedicatedtoourwivesHelenandMaryLouandourfamiliesfortheirsupportandpatienceduringthepreparationofthisbook，andalsotoallofourstudentsandcolleagueswhoovertheyearshavecontributedtoourknowledgeofthefiniteelementmethod。InparticularwewouldliketomentionProfessorEugenioOnateandhisgroupatCIMNEfortheirhelp，encouragementandsupportduringthepreparationprocess。 Preface
1.Generalproblemsinsolidmechanicsandnon-linearity
1.1Introduction
1.2Smalldeformationsolidmechanicsproblems
1.3Variationalformsfornon-linearelasticity
1.4Weakformsofgoverningequations
1.5Concludingremarks
References

2.Galerkinmethodofapproximation-irreducibleandmixedforms
2.1Introduction
2.2Finiteelementapproximation-Galerkinmethod
2.3Numericalintegration-quadrature
2.4Non-lineartransientandsteady-stateproblems
2.5Boundaryconditions：non-linearproblems
2.6Mixedorirreducibleforms
2.7Non-linearquasi-harmonicfieldproblems
2.8Typicalexamplesoftransientnon-linearcalculations
2.9Concludingremarks
References

3.Solutionofnon-linearalgebraicequations
3.1Introduction
3.2Iterativetechniques
3.3Generalremarks-incrementalandratemethods
References

4.Inelasticandnon-linearmaterials
4.1Introduction
4.2Viscoelasticity-historydependenceofdeformation
4.3Classicaltime-independentplasticitytheory
4.4Computationofstressincrements
4.5Isotropicplasticitymodels
4.6Generalizedplasticity
4.7Someexamplesofplasticcomputation
4.8Basicformulationofcreepproblems
4.9Viscoplasticity-ageneralization
4.10Somespecialproblemsofbrittlematerials
4.11Non-uniquenessandlocalizationinelasto-plasticdeformations
4.12Non-linearquasi-harmonicfieldproblems
4.13Concludingremarks
References

5.Geometricallynon-linearproblems-finitedeformation
5.1Introduction
5.2Governingequations
5.3Variationaldescriptionforfinitedeformation
5.4Two-dimensionalforms
5.5Athree-field，mixedfinitedeformationformulation
5.6Amixed-enhancedfinitedeformationformulation
5.7Forcesdependentondeformation-pressureloads
5.8Concludingremarks
References

6.Materialconstitutionforfinitedeformation
6.1Introduction
6.2Isotropicelasticity
6.3Isotropicviscoelasticity
6.4Plasticitymodels
6.5Incrementalformulations
6.6Rateconstitutivemodels
6.7Numericalexamples
6.8Concludingremarks
References

7.Treatmentofconstraints-contactandtiedinterfaces
7.1Introduction
7.2Node-nodecontact：Hertziancontact
7.3Tiedinterfaces
7.4Node-surfacecontact
7.5Surface-surfacecontact
7.6Numericalexamples
7.7Concludingremarks
References

8.Pseudo-rigidandrigid-flexiblebodies
8.1Introduction
8.2Pseudo-rigidmotions
8.3Rigidmotions
8.4Connectingarigidbodytoaflexiblebody
8.5Multibodycouplingbyjoints
8.6Numericalexamples　References
References

9.Discreteelementmethods
9.1Introduction
9.2EarlyDEMformulations
9.3Contactdetection
9.4Contactconstraintsandboundaryconditions
9.5Blockdeformability
9.6Timeintegrationfordiscreteelementmethods
9.7Associateddiscontinuousmodellingmethodologies
9.8Unifyingaspectsofdiscreteelementmethods
9.9Concludingremarks
References

10.Structuralmechanicsproblemsinonedimension-rods
10.1Introduction
10.2Governingequations
10.3Weak(Gaierkin)formsforrods
10.4Finiteelementsolution：Euler-Bernoullirods
10.5Finiteelementsolution：Timoshenkorods
10.6Formswithoutrotationparameters
10.7Momentresistingframes
10.8Concludingremarks
References

11.Platebendingapproximation：thin(Kirchhoff)platesandC1continuityrequirements
11.1Introduction
11.2Theplateproblem：thickandthinformulations
11.3Rectangularelementwithcornernodes(12degreesoffreedom)
11.4Quadrilateralandparallelogramelements
11.5Triangularelementwithcornernodes(9degreesoffreedom)
11.6Triangularelementofthesimplestform(6degreesoffreedom)
11.7Thepatchtest-ananalyticalrequirement
11.8Numericalexamples
11.9Generalremarks
11.10Singularshapefunctionsforthesimpletriangularelement
11.11AnI8degree-of-freedomtriangularelementwithconformingshapefunctions
11.12Compatiblequadrilateralelements
11.13Quasi-conformingelemems
11.14Hermitianrectangleshapefunction
11.15The21and18degree-of-freedomtriangle
11.16Mixedformulations-generalremarks
11.17Hybridplateelements
11.18DiscreteKirchhoffconstraints
11.19Rotation-freeelements
11.20Inelasticmaterialbehaviour
11.21Concludingremarks-whichelements?
References

12.ThickReissner-Mindlinplates-irreducibleandmixedformulations
12.1Introduction
12.2Theirreducibleformulation-reducedintegration
12.3Mixedformulationforthickplates
12.4Thepatchtestforplatebendingelements
12.5Elementswithdiscretecollocationconstraints
12.6Elementswithrotationalbubbleorenhancedmodes
12.7Linkedinterpolation-animprovementofaccuracy
12.8Discreteexactthinplatelimit
12.9Performanceofvariousthickplateelements-limitationsofthinplatetheory
12.10Inelasticmaterialbehaviour
12.11Concludingremarks-adaptiverefinement
References

13.Shellsasanassemblyofflatelements
13.1Introduction
13.2Stiffnessofaplaneelementinlocalcoordinates
13.3Transformationtoglobalcoordinatesandassemblyofelements
13.4Localdirectioncosines
13.5Drillingrotationalstiffness-6degree-of-freedomassembly
13.6Elementswithmid-sideslopeconnectionsonly
13.7Choiceofelement
13.8Practicalexamples
References

14.Curvedrodsandaxisymmetricshells
14.1Introduction
14.2Straightelement
14.3Curvedelements
14.4Independentslope——displacementinterpolationwithpenaltyfunctions(thickorthinshellformulations)
References

15.Shellsasaspecialcaseofthree-dimensionalanalysis-Reissner-Mindlinassumptions
15.1Introduction
15.2Shellelementwithdisplacementandrotationparameters
15.3Specialcaseofaxisymmetric，curved，thickshells
15.4Specialcaseofthickplates
……

16.Semi-analyticalfiniteelementprocesses-useoforthogonalfunctions
17.Non-linearstructuralproblems-largedisplacementandinstability
18.Multiscalemodelling
19.Computerproceduresforfiniteelementanalysis
AppendixAIsoparametricfiniteelementapproximations
AppendixBInvariantsofsecond-ordertensors
Authorindex
Subjectindex
内容简介:
　　《有限元方法固体力学和结构力学(第6版)》isdedicatedtoourwivesHelenandMaryLouandourfamiliesfortheirsupportandpatienceduringthepreparationofthisbook，andalsotoallofourstudentsandcolleagueswhoovertheyearshavecontributedtoourknowledgeofthefiniteelementmethod。InparticularwewouldliketomentionProfessorEugenioOnateandhisgroupatCIMNEfortheirhelp，encouragementandsupportduringthepreparationprocess。
目录:
Preface
1.Generalproblemsinsolidmechanicsandnon-linearity
1.1Introduction
1.2Smalldeformationsolidmechanicsproblems
1.3Variationalformsfornon-linearelasticity
1.4Weakformsofgoverningequations
1.5Concludingremarks
References

2.Galerkinmethodofapproximation-irreducibleandmixedforms
2.1Introduction
2.2Finiteelementapproximation-Galerkinmethod
2.3Numericalintegration-quadrature
2.4Non-lineartransientandsteady-stateproblems
2.5Boundaryconditions：non-linearproblems
2.6Mixedorirreducibleforms
2.7Non-linearquasi-harmonicfieldproblems
2.8Typicalexamplesoftransientnon-linearcalculations
2.9Concludingremarks
References

3.Solutionofnon-linearalgebraicequations
3.1Introduction
3.2Iterativetechniques
3.3Generalremarks-incrementalandratemethods
References

4.Inelasticandnon-linearmaterials
4.1Introduction
4.2Viscoelasticity-historydependenceofdeformation
4.3Classicaltime-independentplasticitytheory
4.4Computationofstressincrements
4.5Isotropicplasticitymodels
4.6Generalizedplasticity
4.7Someexamplesofplasticcomputation
4.8Basicformulationofcreepproblems
4.9Viscoplasticity-ageneralization
4.10Somespecialproblemsofbrittlematerials
4.11Non-uniquenessandlocalizationinelasto-plasticdeformations
4.12Non-linearquasi-harmonicfieldproblems
4.13Concludingremarks
References

5.Geometricallynon-linearproblems-finitedeformation
5.1Introduction
5.2Governingequations
5.3Variationaldescriptionforfinitedeformation
5.4Two-dimensionalforms
5.5Athree-field，mixedfinitedeformationformulation
5.6Amixed-enhancedfinitedeformationformulation
5.7Forcesdependentondeformation-pressureloads
5.8Concludingremarks
References

6.Materialconstitutionforfinitedeformation
6.1Introduction
6.2Isotropicelasticity
6.3Isotropicviscoelasticity
6.4Plasticitymodels
6.5Incrementalformulations
6.6Rateconstitutivemodels
6.7Numericalexamples
6.8Concludingremarks
References

7.Treatmentofconstraints-contactandtiedinterfaces
7.1Introduction
7.2Node-nodecontact：Hertziancontact
7.3Tiedinterfaces
7.4Node-surfacecontact
7.5Surface-surfacecontact
7.6Numericalexamples
7.7Concludingremarks
References

8.Pseudo-rigidandrigid-flexiblebodies
8.1Introduction
8.2Pseudo-rigidmotions
8.3Rigidmotions
8.4Connectingarigidbodytoaflexiblebody
8.5Multibodycouplingbyjoints
8.6Numericalexamples　References
References

9.Discreteelementmethods
9.1Introduction
9.2EarlyDEMformulations
9.3Contactdetection
9.4Contactconstraintsandboundaryconditions
9.5Blockdeformability
9.6Timeintegrationfordiscreteelementmethods
9.7Associateddiscontinuousmodellingmethodologies
9.8Unifyingaspectsofdiscreteelementmethods
9.9Concludingremarks
References

10.Structuralmechanicsproblemsinonedimension-rods
10.1Introduction
10.2Governingequations
10.3Weak(Gaierkin)formsforrods
10.4Finiteelementsolution：Euler-Bernoullirods
10.5Finiteelementsolution：Timoshenkorods
10.6Formswithoutrotationparameters
10.7Momentresistingframes
10.8Concludingremarks
References

11.Platebendingapproximation：thin(Kirchhoff)platesandC1continuityrequirements
11.1Introduction
11.2Theplateproblem：thickandthinformulations
11.3Rectangularelementwithcornernodes(12degreesoffreedom)
11.4Quadrilateralandparallelogramelements
11.5Triangularelementwithcornernodes(9degreesoffreedom)
11.6Triangularelementofthesimplestform(6degreesoffreedom)
11.7Thepatchtest-ananalyticalrequirement
11.8Numericalexamples
11.9Generalremarks
11.10Singularshapefunctionsforthesimpletriangularelement
11.11AnI8degree-of-freedomtriangularelementwithconformingshapefunctions
11.12Compatiblequadrilateralelements
11.13Quasi-conformingelemems
11.14Hermitianrectangleshapefunction
11.15The21and18degree-of-freedomtriangle
11.16Mixedformulations-generalremarks
11.17Hybridplateelements
11.18DiscreteKirchhoffconstraints
11.19Rotation-freeelements
11.20Inelasticmaterialbehaviour
11.21Concludingremarks-whichelements?
References

12.ThickReissner-Mindlinplates-irreducibleandmixedformulations
12.1Introduction
12.2Theirreducibleformulation-reducedintegration
12.3Mixedformulationforthickplates
12.4Thepatchtestforplatebendingelements
12.5Elementswithdiscretecollocationconstraints
12.6Elementswithrotationalbubbleorenhancedmodes
12.7Linkedinterpolation-animprovementofaccuracy
12.8Discreteexactthinplatelimit
12.9Performanceofvariousthickplateelements-limitationsofthinplatetheory
12.10Inelasticmaterialbehaviour
12.11Concludingremarks-adaptiverefinement
References

13.Shellsasanassemblyofflatelements
13.1Introduction
13.2Stiffnessofaplaneelementinlocalcoordinates
13.3Transformationtoglobalcoordinatesandassemblyofelements
13.4Localdirectioncosines
13.5Drillingrotationalstiffness-6degree-of-freedomassembly
13.6Elementswithmid-sideslopeconnectionsonly
13.7Choiceofelement
13.8Practicalexamples
References

14.Curvedrodsandaxisymmetricshells
14.1Introduction
14.2Straightelement
14.3Curvedelements
14.4Independentslope——displacementinterpolationwithpenaltyfunctions(thickorthinshellformulations)
References

15.Shellsasaspecialcaseofthree-dimensionalanalysis-Reissner-Mindlinassumptions
15.1Introduction
15.2Shellelementwithdisplacementandrotationparameters
15.3Specialcaseofaxisymmetric，curved，thickshells
15.4Specialcaseofthickplates
……

16.Semi-analyticalfiniteelementprocesses-useoforthogonalfunctions
17.Non-linearstructuralproblems-largedisplacementandinstability
18.Multiscalemodelling
19.Computerproceduresforfiniteelementanalysis
AppendixAIsoparametricfiniteelementapproximations
AppendixBInvariantsofsecond-ordertensors
Authorindex
Subjectindex

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