成功加入购物车
图书条目标准图
[英] 监凯维奇 著 / 世界图书出版公司 / 2008-09 / 平装
售价 ¥ 60.00 5.2折
定价 ¥115.00
品相 九五品
优惠 满包邮
延迟发货说明
上书时间2020-10-21
卖家超过10天未登录
有限元方法基础论第6版
《有限元方法基础论第6版》是一套在国际上颇具权威性的经典著作(共三卷),由有限元法的创始人Zienkiewicz教授和美国加州大学Taylor教授合作撰写,初版于1967年,多次修订再版,深受力学界和工程界科技人员的欢迎。《有限元方法基础论第6版》的特点是理论可靠,内容全面,既有基础理论,又有其具体应用。第1卷目次:标准的离散系统和有限元方法的起源;弹性力学问题的直接方法;有限元概念的推广,Galerkin加权残数和变分法;‘标准的’和‘晋级的’单元形函数:Co连续性单元族;映射单元和数值积分—无限元和奇异元;线性弹性问题;场问题—热传导、电磁势、流体流动;自动网格生成;拼法试验,简缩积分和非协调元;混合公式和约束—完全场方法;不可压缩材料,混合方法和其它解法;多区域混合逼近-区域分解和“框架”方法;误差、恢复过程和误差估计;自适应有限元细分;以点为基础和单元分割的近似,扩展的有限元方法;时间维-场的半离散化、动力学问题以及分析解方法;时间维—时间的离散化近似;耦合系统;有限元分析和计算机处理。
Preface1Thestandarddiscretesystemandoriginsofthefiniteelementmethod1.1Introduction1.2Thestruraalelementandthestructuralsystem1.3Assemblyandanalysisofastructure1.4Theboundaryconditions1.5Electricalandfluidnetworks1.6Thegeneralpattern1.7Thestandarddiscretesystem1.8Transformationofcoordinates1.9Problems2Adirectphysicalapproachtoproblemsinelasticity:planestress2.1Introduction2.2Directformulationoffiniteelementcharacteristics2.3Generalizationtothewholeregion-internalnodalforceconceptabandoned2.4Displacementapproachasaminimizationoftotalpotentialenergy2.5Convergencecriteria2.6Discretizationerrorandconvergencerate2.7Displacementfunctionswithdiscontinuitybetweenelementsnon-conformingelementsandthepatchtest2.8Finiteelementsolutionprocess2.9Numericalexamples2.10Concludingremarks2.11Problems3Generalizationofthefiniteelementconcepts.Galerkin-weightedresidualandvariationalapproaches3.1Introduction3.2Integralorweakstatementsequivalenttothedifferentialequations3.3Approximationtointegralformulations:theweightedresidualGalerkinmethod3.4Virtualworkastheweakformofequilibriumequationsforanalysisofsolidsorfluids693.5Partialdiscretization3.6Convergence3.7Whatarevariationalprinciples?3.8Naturalvariationalprinciplesandtheirrelationtogoverningdifferentialequations3.9Establishmentofnaturalvariationalprinciplesforlinear,self-adjoint,differentialequations3.10Maximum,minimum,orasaddlepoint?3.11Constrainedvariationalprinciples.Lagrangemultipliers3.12Constrainedvariationalprinciples.Penaltyfunctionandperturbedlagrangianmethods883.13Leastsquaresapproximations3.14Concludingremarks-finitedifferenceandboundarymethods3.15Problems4Standardandhierarchicalelementshapefunctions:somegeneralfamiliesofCocontinuity4.1Introduction4.2Standardandhierarchicalconcepts4.3Rectangularelements-somepreliminaryconsiderations4.4Completenessofpolynomials4.5Rectangularelements-Lagrangefamily4.6Rectangularelements-serendipityfamily4.7Triangularelementfamily4.8Lineelements4.9Rectangularprisms-Lagrangefamily4.10Rectangularprisms-serendipityfamily4.11Tetrahedralelements4.12Othersimplethree-dimensionalelements4.13Hierarchicpolynomialsinonedimension4.14Two-andthree-dimensional,hierarchicalelementsoftherectangleorbricktype4.15Triangleandtetrahedronfamily4.16Improvementofconditioningwithhierarchicalforms4.17Globalandlocalfiniteelementapproximation4.18Eliminationofinternalparametersbeforeassembly-substructures4.19Concludingremarks4.20Problems5Mappedelementsandnumericalintegrationinfiniteandsingularityelements5.1Introduction5.2Useofshapefunctionsintheestablishmentofcoordinatetransformations5.3Geometricalconformityofelements5.4Variationoftheunknownfunctionwithindistorted,curvilinearelements.Continuityrequirements5.5Evaluationofelement-matrices.Transformationincoordinates5.6Evaluationofelementmatrices.Transformationinareaandvolumecoordinates5.7Orderofconvergenceformappedelements5.8Shapefunctionsbydegeneration5.9Numericalintegration-onedimensional5.10Numericalintegration-rectangular(2D)orbrickregions(3D)5.11Numericalintegration-triangularortetrahedralregions5.12Requiredorderofnumericalintegration5.13Generationoffiniteelementmeshesbymapping.Blendingfunctions5.14Infinitedomainsandinfiniteelements5.15Singularelementsbymapping-useinfracturemechanics,etc.5.16Computationaladvantageofnumericallyintegratedfiniteelements5.17Problems6Problemsinlinearelasticity6.1Introduction6.2Governingequations6.3Finiteelementapproximation6.4Reportingofresults:displacements,strainsandstresses6.5Numericalexamples6.6Problems7Fieldproblems-heatconduction,electricandmagneticpotentialandfluidflow7.1Introduction7.2Generalquasi-harmonicequation7.3Finiteelementsolutionprocess7.4Partialdiscretization-transientproblems7.5Numericalexamples-anassessmentofaccuracy7.6Concludingremarks7.7Problems8Automaticmeshgeneration8.1Introduction8.2Two-dimensionalmeshgeneration-advancingfrontmethod8.3Surfacemeshgeneration8.4Three-dimensionalmeshgeneration-Delaunaytriangulation8.5Concludingremarks8.6Problems9Thepatchtest,reducedintegration,andnon-conformingelements9.1Introduction9.2Convergencerequirements9.3Thesimplepatchtest(testsAandB)-anecessaryconditionforconvergence3329.4Generalizedpatchtest(testC)andthesingle-elementtest9.5Thegeneralityofanumericalpatchtest9.6Higherorderpatchtests9.7Applicationofthepatchtesttoplaneelasticityelementswithstandardandreducedquadrature9.8Applicationofthepatchtesttoanincompatibleelement9.9Higherorderpatchtest-assessmentofrobustness9.10Concludingremarks9.11Problems10Mixedformulationandconstraints-completefieldmethods10.1Introduction10.2Discretizationofmixedforms-somegeneralremarks10.3Stabilityofmixedapproximation.Thepatchtest10.4Two-fieldmixedformulationinelasticity10.5Three-fieldmixedformulationsinelasticity10.6Complementaryformswithdirectconstraint10.7Concludingremarks-mixedformulationoratestofelementrobustness10.8Problems11Incompressibleproblems,mixedmethodsandotherproceduresofsolution11.1Introduction11.2Deviatoricstressandstrain,pressureandvolumechange11.3Two-fieldincompressibleelasticity(upform)11.4Three-fieldnearlyincompressibleelasticity(u-p-form)11.5Reducedandselectiveintegrationanditsequivalencetopenalizedmixedproblems11.6Asimpleiterativesolutionprocessformixedproblems:Uzawamethod11.7Stabilizedmethodsforsomemixedelementsfailingtheincompressibilitypatchtest11.8Concludingremarks11.9Problems12Multidomainmixedapproximations-domaindecompositionandframemethods12.1Introduction12.2LinkingoftwoormoresubdomainsbyLagrangemultipliers12.3Linkingoftwoormoresubdomainsbyperturbedlagrangianandpenaltymethods12.4Interfacedisplacementframe12.5Linkingofboundary(orTrefftz)-typesolutionbytheframeofspecifieddisplacements12.6Subdomainswithstandardelementsandglobalfunctions12.7Concludingremarks12.8Problems13Errors,recoveryprocessesanderrorestimates13.1Definitionoferrors13.2Superconvergenceandoptimalsamplingpoints13.3Recoveryofgradientsandstresses13.4Superconvergentpatchrecovery-=SPR13.5Recoverybyequilibrationofpatches-REP13.6Errorestimatesbyrecovery13.7Residual-basedmethods13.8Asymptoticbehaviourandrobustnessoferrorestimators-theBabuskapatchtest13.9Boundsonquantitiesofinterest13.10Whicherrorsshouldconcernus713.11Problems14Adaptivefiniteelementrefinement14.1Introduction14.2Adaptiveh-refinement14.3p-refinementandhp-refinement14.4Concludingremarks14.5Problems15Point-basedandpartitionofunityapproximations.Extendedfiniteelementmethods15.1Introduction15.2Functionapproximation15.3Movingleastsquaresapproximations-restorationofcontinuityofapproximation15.4Hierarchicalenhancementofmovingleastsquaresexpansions15.5Pointcollocation-finitepointmethods15.6Galerkinweightingandfinitevolumemethods15.7Useofhierarchicandspecialfunctionsbasedonstandardfiniteelementssatisfyingthepartitionofunityrequirement15.8Concludingremarks15.9Problems16Thetimedimension-semi-discretizationoffieldanddynamicproblemsandanalyticalsolutionprocedures16.1Introduction16.2Directformulationoftime-dependentproblemswithspatialfiniteelementsubdivision16.3Generalclassification16.4Freeresponse-eigenvaluesforsecond-orderproblemsanddynamicvibration16.5Freeresponse-eigenvaluesforfirst-orderproblemsandheatconduction,etc.16.6Freeresponse-dampeddynamiceigenvalues16.7Forcedperiodicresponse16.8Transientresponsebyanalyticalprocedures16.9Symmetryandrepeatability16.10Problems17Thetimedimension-discreteapproximationintime17.1Introduction17.2Simpletime-stepalgorithmsforthefirst-orderequation17.3Generalsingle-stepalgorithmsforfirst-andsecond-orderequations17.4Stabilityofgeneralalgorithms17.5Multisteprecurrencealgorithms17.6Someremarksongeneralperformanceofnumericalalgorithms17.7TimediscontinuousGalerkinapproximation17.8Concludingremarks17.9Problems18Coupledsystems18.1Coupledproblems-definitionandclassification18.2Fluid-structureinteraction(ClassIproblems)18.3Soil-porefluidinteraction(ClassIIproblems)18.4Partitionedsingle-phasesystems-implicit-explicitpartitions(ClassIproblems)18.5Staggeredsolutionprocesses18.6Concludingremarks19Computerproceduresforfiniteelementanalysis19.1Introduction19.2Pre-processingmodule:meshcreation19.3Solutionmodule19.4Post-processormodule19.5UsermodulesAppendixA:MatrixalgebraAppendixB:Tensor-indicialnotationintheapproximationofelasticityproblemsAppendixC:SolutionofsimultaneouslinearalgebraicequationsAppendixD:SomeintegrationformulaeforatriangleAppendixE:SomeintegrationformulaeforatetrahedronAppendixF:SomevectoralgebraAppendixG:Integrationbypartsintwoorthreedimensions(Greenstheorem)AppendixH:SolutionsexactatnodesAppendixI:MatrixdiagonalizationorlumpingAuthorindexSubjectindex
展开全部
配送说明
...
相似商品
为你推荐
开播时间:09月02日 10:30