Fundamentals of Finite Element Analysis
Published on 16. July 2003
Book
Paperback/Softback
978-0-07-112231-3 (ISBN)
Description
This new text, intended for the senior undergraduate finite element course in civil or mechanical engineering departments, gives students a solid basis in the mechanical principles of the finite element method and provides a theoretical foundation for applying available software analysis packages and evaluating the results obtained. Dr. Hutton discusses basic theory of the finite element method while avoiding variational calculus, instead focusing upon the engineering mechanics and mathematical background that may be expected of a senior undergraduate engineering student. The text relies upon basic equilibrium principles, introduction of the principle of minimum potential energy, and the Galerkin finite element method, which readily allows application of the FEM to nonstructural problems. The text is software-independent, making it flexible enough for use in a wide variety of programs, and offers a good selection of homework problems and examples.
More details
Edition
International ed.
Language
English
Place of publication
United States
Publishing group
McGraw-Hill Education - Europe
Target group
College/higher education
Professional and scholarly
Illustrations
illustrations
Dimensions
Height: 231 mm
Width: 196 mm
Thickness: 21 mm
Weight
760 gr
ISBN-13
978-0-07-112231-3 (9780071122313)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
1: The Finite Element MethodBrief HistoryGeneral Field Problem; Solution TechniquesFinite Element TerminologyFEM ApplicationsAdvantages of FEM
2: Stiffness Matrices: Spring and Spar ElementsIntroductionLinear Spring as a Finite ElementElastic Bar/Spar ElementInterpolation FunctionsEquilibrium EquationsStiffness MatrixStrain Energy; Castigliano's First TheoremClosure Problems
3: System Assembly: The Direct Stiffness MethodIntroductionNodal Equilibrium EquationsElement TransformationDirect Assembly of Global Stiffness MatrixBoundary Conditions; Constraint ForcesElement Strain and StressComprehensive ExampleClosureProblems
4. Flexure ElementsIntroductionElementary Beam TheoryFlexure ElementFlexure Element Stiffness MatrixElement Load VectorWork Equivalence for Distributed LoadsFlexure Element with Axial LoadingA General Three-Dimensional Beam ElementClosureProblems
5: Method of Weighted ResidualsIntroductionMethod of Weighted Residuals: Galerkin's MWRGalerkin's Finite Element MethodApplication of Galerkin's MethodSpar ElementBeam ElementOne Dimensional Heat ConductionClosureProblems
6: Interpolation Functions for General Element FormulationIntroductionCompatibility and Completeness RequirementsPolynomial FormsNatural CoordinatesLengthAreaVolumeSerendipity CoordinatesIsoparametric FormulationAxisymmetric ElementsProblems
7: Applications in Heat TransferIntroductionConduction in Two DimensionsConduction with ConvectionOne DimensionalTwo DimensionalHeat Transfer with Mass TransportTime-Dependent Heat TransferProblems
8. Applications in Fluid MechanicsIntroductionSteady State FlowPotential FormulationStreamfunction FormulationSources and SinksProblems
9: Applications in Solid MechanicsIntroductionPlane StressPlane StrainAxisymmetric ProblemsTorsion of Noncircular SectionsThermal StressGeneral 3-D Stress AnalysisBending of Thin PlatesProblems
10. Structural DynamicsIntroductionLagrange's EquationsConsistent Mass MatricesModal AnalysisModal FrequenciesMode SuperpositionBeam Element ExamplesTransient Dynamic AnalysisProblems
Matrix AlgebraEquations of ElasticitySolution Methods for Systems of Algebraic Equations3-D Beam Element Stiffness MatrixNumerical Integration, Gauss QuadratureWebsite Information/Computer Programs
2: Stiffness Matrices: Spring and Spar ElementsIntroductionLinear Spring as a Finite ElementElastic Bar/Spar ElementInterpolation FunctionsEquilibrium EquationsStiffness MatrixStrain Energy; Castigliano's First TheoremClosure Problems
3: System Assembly: The Direct Stiffness MethodIntroductionNodal Equilibrium EquationsElement TransformationDirect Assembly of Global Stiffness MatrixBoundary Conditions; Constraint ForcesElement Strain and StressComprehensive ExampleClosureProblems
4. Flexure ElementsIntroductionElementary Beam TheoryFlexure ElementFlexure Element Stiffness MatrixElement Load VectorWork Equivalence for Distributed LoadsFlexure Element with Axial LoadingA General Three-Dimensional Beam ElementClosureProblems
5: Method of Weighted ResidualsIntroductionMethod of Weighted Residuals: Galerkin's MWRGalerkin's Finite Element MethodApplication of Galerkin's MethodSpar ElementBeam ElementOne Dimensional Heat ConductionClosureProblems
6: Interpolation Functions for General Element FormulationIntroductionCompatibility and Completeness RequirementsPolynomial FormsNatural CoordinatesLengthAreaVolumeSerendipity CoordinatesIsoparametric FormulationAxisymmetric ElementsProblems
7: Applications in Heat TransferIntroductionConduction in Two DimensionsConduction with ConvectionOne DimensionalTwo DimensionalHeat Transfer with Mass TransportTime-Dependent Heat TransferProblems
8. Applications in Fluid MechanicsIntroductionSteady State FlowPotential FormulationStreamfunction FormulationSources and SinksProblems
9: Applications in Solid MechanicsIntroductionPlane StressPlane StrainAxisymmetric ProblemsTorsion of Noncircular SectionsThermal StressGeneral 3-D Stress AnalysisBending of Thin PlatesProblems
10. Structural DynamicsIntroductionLagrange's EquationsConsistent Mass MatricesModal AnalysisModal FrequenciesMode SuperpositionBeam Element ExamplesTransient Dynamic AnalysisProblems
Matrix AlgebraEquations of ElasticitySolution Methods for Systems of Algebraic Equations3-D Beam Element Stiffness MatrixNumerical Integration, Gauss QuadratureWebsite Information/Computer Programs