北京航空航天大学“研究生英文教材”系列丛书：工程有限元分析

图书标准信息

• 作者 崔德渝、徐元铭 著
• 出版社 北京航空航天大学出版社
• 出版时间 2013-01
• 版次 1
• ISBN 9787512410183
• 定价 72.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 323页
• 字数 470千字
• 正文语种 英语

【内容简介】

　　Thistextbookpresentsthenecessaryconcepts，principlesandgeneralprocedureofFiniteElementMethod（FEM）whichareprimarilyappliedforlinearlyelasticstructuralanalysisincludingplaneproblems，axisymmetricproblems，spaceproblems，platesandshellsandfracturemechanics.TheFEMofheattransferinbriefisalsoincorporated.Somestraightforwardexamplesareintroducedtodemonstrateacompleteanddetailedfiniteelementprocedure.Theaimofthetextistoprovidethefundamentaltheoriesandnumericalmethodologyinfiniteelementanalysis.ItfocusesonthederivationofkeygoverningequationsoftheFEManditsengineeringapplication.
　　Thistextcanberegardedasatextorreferencebookfortheuniversityunder-andpost-graduatestudentsorengineerswhosemajorsarerelatedtomechanics，aerospace，mechanicalandcivilengineering，heattransferandsoon.

【目录】

Chapter1IntroductiontoFiniteElementMethod
1.1BasicConceptofFiniteElementMethod
1.2GeneralDescriptionofFiniteElementMethod
1.2.1FiniteElementTechniqueinStructureAnalysis
1.2.2FiniteElementTechniqueinHeatConduction
1.2.3Summary
1.3EngineeringApplicationsofFiniteElementAnalysis
1.4PrincipleofVirtualDisplacementsandVariationalApproach
1.4.1PrincipleofVirtualDisplacements（PVD）
1.4.2VariationalFormulation
ProblemSet1

Chapter2GeneralProcedureofFiniteElementMethod
2.1InterpolationFunctions
2.2Strain-displacementRelations
2.3Stress-strainRelations（ConstitutiveRelations）
2.4GoverningEquationsinFiniteElementAnalysis
2.5StiffnessMatrices
2.5.1ElementStiffnessMatrix
2.5.2GlobalStiffnessMatrix
2.6EquivalentNodalForceVectors
2.6.1ElementEquivalentNodalForceVector
2.6.2GlobalEquivalentNodalForceVector
2.7ImpositionofBoundaryCondition
2.8NumericalExamples
2.9AreaCoordinates
2.10Six-nodeTriangularElements
2.11LinearRectangularElements
ProblemSet2

Chapter3FormulationofIsoparametricFiniteElementMatrices
3.1IsoparametricConcepts
3.2ConstructionofInterpolationFunctions
3.2.1ThePascalTriangle
3.2.2LagrangePolynomials
3.2.3LagrangePolynomialsinDimensionlessForm
3.3FamilyofTwo-dimensionalIsoparametricElements
3.4FormulationofIsoparametricFiniteElementMatricesforPlaneElasticity
3.4.1InterpolationFunctions
3.4.2Strain-displacementTransformationMatrix
3.4.3ConstitutiveRelations
3.4.4ElementStiffnessMatrix
3.4.5ElementLoadVector
3.5IsoparametricTriangularElementsinTermsofAreaCoordinates
ProblemSet3

Chapter4StressAnalysisofAxisymmetricProblems
4.1InterpolationFunctions
4.2Strain-displacementRelations
4.3Stress-strainRelations
4.4ElementStiffnessMatrix
4.5ElementEquivalentNodalForceVector
4.6Four-nodeRectangularRingElement
4.7ANumericalExample
ProblemSet4

Chapter5AnalysisofThree-dimensionalProblems
5.1ConvergenceConsiderations
5.2ShapeFunctionsforThree-dimensionalElements
5.2.1ShapeFunctionsforTetrahedronElements
5.2.2ShapeFunctionsforThree-dimensionalHexahedralElements
5.3FormulationofThree-dimensionalIsoparametricElementMatrices
5.3.1InterpolationFunctions
……
Chapter6FiniteElementAnalysisforPlatesandShells
Chapter7FiniteElementAnalysisinFractureMechanics
Chapter8HeatTransfer
References