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[英] 监凯维奇 著 / 世界图书出版公司 / 2009-01 / 平装
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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)》isdedicatedtoourwivesHelenandMaryLouandourfamiliesfortheirsupportandpatienceduringthepreparationofthisbook,andalsotoallofourstudentsandcolleagueswhoovertheyearshavecontributedtoourknowledgeofthefiniteelementmethod。InparticularwewouldliketomentionProfessorEugenioOnateandhisgroupatCIMNEfortheirhelp,encouragementandsupportduringthepreparationprocess。
Preface1.Generalproblemsinsolidmechanicsandnon-linearity1.1Introduction1.2Smalldeformationsolidmechanicsproblems1.3Variationalformsfornon-linearelasticity1.4Weakformsofgoverningequations1.5ConcludingremarksReferences2.Galerkinmethodofapproximation-irreducibleandmixedforms2.1Introduction2.2Finiteelementapproximation-Galerkinmethod2.3Numericalintegration-quadrature2.4Non-lineartransientandsteady-stateproblems2.5Boundaryconditions:non-linearproblems2.6Mixedorirreducibleforms2.7Non-linearquasi-harmonicfieldproblems2.8Typicalexamplesoftransientnon-linearcalculations2.9ConcludingremarksReferences3.Solutionofnon-linearalgebraicequations3.1Introduction3.2Iterativetechniques3.3Generalremarks-incrementalandratemethodsReferences4.Inelasticandnon-linearmaterials4.1Introduction4.2Viscoelasticity-historydependenceofdeformation4.3Classicaltime-independentplasticitytheory4.4Computationofstressincrements4.5Isotropicplasticitymodels4.6Generalizedplasticity4.7Someexamplesofplasticcomputation4.8Basicformulationofcreepproblems4.9Viscoplasticity-ageneralization4.10Somespecialproblemsofbrittlematerials4.11Non-uniquenessandlocalizationinelasto-plasticdeformations4.12Non-linearquasi-harmonicfieldproblems4.13ConcludingremarksReferences5.Geometricallynon-linearproblems-finitedeformation5.1Introduction5.2Governingequations5.3Variationaldescriptionforfinitedeformation5.4Two-dimensionalforms5.5Athree-field,mixedfinitedeformationformulation5.6Amixed-enhancedfinitedeformationformulation5.7Forcesdependentondeformation-pressureloads5.8ConcludingremarksReferences6.Materialconstitutionforfinitedeformation6.1Introduction6.2Isotropicelasticity6.3Isotropicviscoelasticity6.4Plasticitymodels6.5Incrementalformulations6.6Rateconstitutivemodels6.7Numericalexamples6.8ConcludingremarksReferences7.Treatmentofconstraints-contactandtiedinterfaces7.1Introduction7.2Node-nodecontact:Hertziancontact7.3Tiedinterfaces7.4Node-surfacecontact7.5Surface-surfacecontact7.6Numericalexamples7.7ConcludingremarksReferences8.Pseudo-rigidandrigid-flexiblebodies8.1Introduction8.2Pseudo-rigidmotions8.3Rigidmotions8.4Connectingarigidbodytoaflexiblebody8.5Multibodycouplingbyjoints8.6Numericalexamples ReferencesReferences9.Discreteelementmethods9.1Introduction9.2EarlyDEMformulations9.3Contactdetection9.4Contactconstraintsandboundaryconditions9.5Blockdeformability9.6Timeintegrationfordiscreteelementmethods9.7Associateddiscontinuousmodellingmethodologies9.8Unifyingaspectsofdiscreteelementmethods9.9ConcludingremarksReferences10.Structuralmechanicsproblemsinonedimension-rods10.1Introduction10.2Governingequations10.3Weak(Gaierkin)formsforrods10.4Finiteelementsolution:Euler-Bernoullirods10.5Finiteelementsolution:Timoshenkorods10.6Formswithoutrotationparameters10.7Momentresistingframes10.8ConcludingremarksReferences11.Platebendingapproximation:thin(Kirchhoff)platesandC1continuityrequirements11.1Introduction11.2Theplateproblem:thickandthinformulations11.3Rectangularelementwithcornernodes(12degreesoffreedom)11.4Quadrilateralandparallelogramelements11.5Triangularelementwithcornernodes(9degreesoffreedom)11.6Triangularelementofthesimplestform(6degreesoffreedom)11.7Thepatchtest-ananalyticalrequirement11.8Numericalexamples11.9Generalremarks11.10Singularshapefunctionsforthesimpletriangularelement11.11AnI8degree-of-freedomtriangularelementwithconformingshapefunctions11.12Compatiblequadrilateralelements11.13Quasi-conformingelemems11.14Hermitianrectangleshapefunction11.15The21and18degree-of-freedomtriangle11.16Mixedformulations-generalremarks11.17Hybridplateelements11.18DiscreteKirchhoffconstraints11.19Rotation-freeelements11.20Inelasticmaterialbehaviour11.21Concludingremarks-whichelements?References12.ThickReissner-Mindlinplates-irreducibleandmixedformulations12.1Introduction12.2Theirreducibleformulation-reducedintegration12.3Mixedformulationforthickplates12.4Thepatchtestforplatebendingelements12.5Elementswithdiscretecollocationconstraints12.6Elementswithrotationalbubbleorenhancedmodes12.7Linkedinterpolation-animprovementofaccuracy12.8Discreteexactthinplatelimit12.9Performanceofvariousthickplateelements-limitationsofthinplatetheory12.10Inelasticmaterialbehaviour12.11Concludingremarks-adaptiverefinementReferences13.Shellsasanassemblyofflatelements13.1Introduction13.2Stiffnessofaplaneelementinlocalcoordinates13.3Transformationtoglobalcoordinatesandassemblyofelements13.4Localdirectioncosines13.5Drillingrotationalstiffness-6degree-of-freedomassembly13.6Elementswithmid-sideslopeconnectionsonly13.7Choiceofelement13.8PracticalexamplesReferences14.Curvedrodsandaxisymmetricshells14.1Introduction14.2Straightelement14.3Curvedelements14.4Independentslope——displacementinterpolationwithpenaltyfunctions(thickorthinshellformulations)References15.Shellsasaspecialcaseofthree-dimensionalanalysis-Reissner-Mindlinassumptions15.1Introduction15.2Shellelementwithdisplacementandrotationparameters15.3Specialcaseofaxisymmetric,curved,thickshells15.4Specialcaseofthickplates……16.Semi-analyticalfiniteelementprocesses-useoforthogonalfunctions17.Non-linearstructuralproblems-largedisplacementandinstability18.Multiscalemodelling19.ComputerproceduresforfiniteelementanalysisAppendixAIsoparametricfiniteelementapproximationsAppendixBInvariantsofsecond-ordertensorsAuthorindexSubjectindex
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