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• Title
• Copyright
• Contents
• Preface
• Acknowledgments
• 1 Introduction
• 1.1 Engineering Problems
• 1.2 Numerical Methods
• 1.3 A Brief History of the Finite Element Method and Ansys
• 1.4 Basic Steps in the Finite Element Method
• 1.5 Direct Formulation
• 1.6 Minimum Total Potential Energy Formulation
• 1.7 Weighted Residual Formulations
• 1.8 Verification of Results
• 1.9 Understanding the Problem
• Summary
• References
• Problems
• 2 Matrix Algebra
• 2.1 Basic Definitions
• 2.2 Matrix Addition or Subtraction
• 2.3 Matrix Multiplication
• 2.4 Partitioning of a Matrix
• 2.5 Transpose of a Matrix
• 2.6 Determinant of a Matrix
• 2.7 Solutions of Simultaneous Linear Equations
• 2.8 Inverse of a Matrix
• 2.9 Eigenvalues and Eigenvectors
• 2.10 Using Matlab to Manipulate Matrices
• 2.11 Using Excel to Manipulate Matrices
• Summary
• References
• Problems
• 3 Trusses
• 3.1 Definition of a Truss
• 3.2 Finite Element Formulation
• 3.3 Space Trusses
• 3.4 Overview of the Ansys Program
• 3.5 Examples Using Ansys
• 3.6 Verification of Results
• Summary
• References
• Problems
• 4 Axial Members, Beams, and Frames
• 4.1 Members Under Axial Loading
• 4.2 Beams
• 4.3 Finite Element Formulation of Beams
• 4.4 Finite Element Formulation of Frames
• 4.5 Three-Dimensional Beam Element
• 4.6 An Example Using Ansys
• 4.7 Verification of Results
• Summary
• References
• Problems
• 5 One-Dimensional Elements
• 5.1 Linear Elements
• 5.2 Quadratic Elements
• 5.3 Cubic Elements
• 5.4 Global, Local, and Natural Coordinates
• 5.5 Isoparametric Elements
• 5.6 Numerical Integration: Gauss–Legendre Quadrature
• 5.7 Examples of One-Dimensional Elements in Ansys
• Summary
• References
• Problems
• 6 Analysis of One-Dimensional Problems
• 6.1 Heat Transfer Problems
• 6.2 A Fluid Mechanics Problem
• 6.3 An Example Using Ansys
• 6.4 Verification of Results
• Summary
• References
• Problems
• 7 Two-Dimensional Elements
• 7.1 Rectangular Elements
• 7.2 Quadratic Quadrilateral Elements
• 7.3 Linear Triangular Elements
• 7.4 Quadratic Triangular Elements
• 7.5 Axisymmetric Elements
• 7.6 Isoparametric Elements
• 7.7 Two-Dimensional Integrals: Gauss–Legendre Quadrature
• 7.8 Examples of Two-Dimensional Elements in Ansys
• Summary
• References
• Problems
• 8 More Ansys
• 8.1 Ansys Program
• 8.2 Ansys Database and Files
• 8.3 Creating a Finite Element Model with Ansys: Preprocessing
• 8.4 h-Method Versus p-Method
• 8.5 Applying Boundary Conditions, Loads, and the Solution
• 8.6 Results of Your Finite Element Model: Postprocessing
• 8.7 Selection Options
• 8.8 Graphics Capabilities
• 8.9 Error-Estimation Procedures
• 8.10 An Example Problem
• Summary
• References
• 9 Analysis of Two-Dimensional Heat Transfer Problems
• 9.1 General Conduction Problems
• 9.2 Formulation with Rectangular Elements
• 9.3 Formulation with Triangular Elements
• 9.4 Axisymmetric Formulation of Three-Dimensional Problems
• 9.5 Unsteady Heat Transfer
• 9.6 Conduction Elements Used by Ansys
• 9.7 Examples Using Ansys
• 9.8 Verification of Results
• Summary
• References
• Problems
• 10 Analysis of Two-Dimensional Solid Mechanics Problems
• 10.1 Torsion of Members with Arbitrary Cross-Section Shape
• 10.2 Plane-Stress Formulation
• 10.3 Isoparametric Formulation: Using a Quadrilateral Element
• 10.4 Axisymmetric Formulation
• 10.5 Basic Failure Theories
• 10.6 Examples Using Ansys
• 10.7 Verification of Results
• Summary
• References
• Problems
• 11 Dynamic Problems
• 11.1 Review of Dynamics
• 11.2 Review of Vibration of Mechanical and Structural Systems
• 11.3 Lagrange’s Equations
• 11.4 Finite Element Formulation of Axial Members
• 11.5 Finite Element Formulation of Beams and Frames
• 11.6 Examples Using Ansys
• Summary
• References
• Problems
• 12 Analysis of Fluid Mechanics Problems
• 12.1 Direct Formulation of Flow Through Pipes
• 12.2 Ideal Fluid Flow
• 12.3 Groundwater Flow
• 12.4 Examples Using Ansys
• 12.5 Verification of Results
• Summary
• References
• Problems
• 13 Three-Dimensional Elements
• 13.1 The Four-NodeTetrahedral Element
• 13.2 Analysis of Three-Dimensional Solid Problems Using Four-NodeTetrahedral Elements
• 13.3 The Eight-Node Brick Element
• 13.4 The Ten-Node Tetrahedral Element
• 13.5 The Twenty-Node Brick Element
• 13.6 Examples of Three-Dimensional Elements in Ansys
• 13.7 Basic Solid-Modeling Ideas
• 13.8 A Thermal Example Using Ansys
• 13.9 A Structural Example Using Ansys
• Summary
• References
• Problems
• 14 Design and Material Selection
• 14.1 Engineering Design Process
• 14.2 Material Selection
• 14.3 Electrical, Mechanical, and Thermophysical Properties of Materials
• 14.4 Common Solid Engineering Materials
• 14.5 Some Common Fluid Materials
• Summary
• References
• Problems
• 15 Design Optimization
• 15.1 Introduction to Design Optimization
• 15.2 The Parametric Design Language of Ansys
• 15.3 Examples of Batch Files
• Summary
• References
• Problems
• Appendix A Mechanical Properties of Some Materials
• Appendix B Thermophysical Properties of Some Materials
• Appendix C Properties of Common Line and Area Shapes
• Appendix D Geometrical Properties of Structural Steel Shapes
• Appendix E Conversion Factors
• Appendix F An Introduction to MATLAB
• Index
• A
• B
• C
• D
• E
• F
• G
• H
• I
• J
• K
• L
• M
• N
• O
• P
• Q
• R
• S
• T
• U
• V
• W
• Y