The Finite Element Method and Applications in Engineering Using ANSYS®

Preface.- List of Problems Solved.- Introduction: Concept.- Nodes.- Elements.- Direct Approach.- Linear Spring.- Heat Flow.- Assembly of the Global System of Equations.- Solution of the Global System of Equations.- Boundary Conditions.- Fundamentals Of ANSYS(R): Useful Definitions.- Before an ANSYS(R) Session.- Analysis Discipline.- Time Dependence.- Nonlinearity.- Practical Modeling Considerations.- Organization of ANSYS(R) Software.- ANSYS(R) Analysis Approach.- ANSYS(R) Preprocessor.- ANSYS(R) Solution Processor.- ANSYS(R) General Postprocessor.- ANSYS(R) Time History Postprocessor.- ANSYS(R) File Structure.- Database File.- Log File.- Error File.- Results Files.- Description of ANSYS(R) Menus and Windows.- Utility Menu.- Main Menu.- Toolbar.- Input Field.- Graphics Window.- Output Window.- Using the ANSYS(R) Help System.- Help Contents.- Help Index.- Search in Help.- Verification Manual.- Fundamentals of Discretization: Local and Global Numbering.- Approximation Functions.- Coordinate Systems.- Generalized Coordinates.- Global Coordinates.- Local Coordinates.- Natural Coordinates.- Shape Functions.- Linear Line Element with Two Nodes.- Quadratic Line Element with Three Nodes: Centroidal Coordinate.- Linear Triangular Element with Three Nodes: Global Coordinate.- Quadratic Triangular Element with Six Nodes.- Linear Quadrilateral Element with Four Nodes: Centroidal Coordinate.- Isoparametric Elements: Curved Boundaries.- Numerical Evaluation of Integrals.- Line Integrals.- Triangular Area Integrals.- Quadrilateral Area Integrals.- Problems.- ANSYS(R) Preprocessor: Fundamentals of Modeling.- Modeling Operations.- Title.- Elements.- Real Constants.- Material Properties.- Element Attributes.- Interaction with the Graphics Window: Picking Entities.- Coordinate Systems.- Working Plane.- Solid Modeling.- Bottom-up Approach: Entities.- Top-down Approach: Primitives.- Boolean Operators.- Adding .- Subtracting.- Overlap.- Gluing.- Dividing.- Additional Operations.- Extrusion and Sweeping.- Moving and Copying.- Keeping/Deleting Original Entities.- Listing Entities.- Deleting Entities.- Viewing a Model.- Plotting: Pan, Zoom, and Rotate Functions.- Plotting/Listing Entities.- Numbers in the Graphics Window.- Meshing.- Automatic Meshing.- Manipulation of the Mesh.- Selecting and Components.- Selecting Operations.- Components.- ANSYS(R) Solution And Postprocessing: Overview.- Solution.- Analysis Options/Solution Controls.- Boundary Conditions.- Initial Conditions.- Body Loads.- Solution in Single and Multiple Load Steps.- Failure to Obtain Solution.- Postprocessing.- General Postprocessor.- Time History Postprocessor.- Read Results.- Plot Results.- Element Tables.- List Results.- Example: One-dimensional Transient Heat Transfer.- Finite Element Equations: Method of Weighted Residuals.-Example: One-dimensional Differential.- Equation with Line Elements.- Example: Two-dimensional Differential.- Equation with Linear Triangular Elements.- Example: Two-dimensional Differential Equation with Linear Quadrilateral Elements.- Principle of Minimum Potential Energy.- Example: One-dimensional Analysis with Line Elements.- Two-dimensional Structural Analysis.- Problems.- Use of Commands in ANSYS(R): Basic ANSYS(R) Commands.- Operators and Functions.- Defining Parameters.- A Typical Input File.- Selecting Operations.-Extracting Information from ANSYS(R).- Programming with ANSYS(R).- DO Loops.- IF Statements.- /OUTPUT and *VWRITE Commands.- Macro Files.- Useful Resources.- Using the Log File for Programming.- Using the Verification Problems for Programming.- Linear Structural Analysis: Static Analysis.- Trusses.- Beams.- Three-dimensional Problems.- .- Plates and Shells.- Linear Buckling Analysis.- Thermomechanical Analysis.- Fracture Mechanics Analysis.- Dynamic Analysis.- Modal Analysis.- Harmonic Analysis.- Transient Analysis.- Linear Analysis of Field Problems: Heat Transfer Problems.- Steady-state Analysis.- Transient Analysis.- Radiation Analysis.- Moisture Diffusion.- Nonlinear Structural Analysis: Geometric Nonlinearity.- Large Deformation Analysis of a Plate.- Post-buckling Analysis of a Plate with a Hole.- Material Nonlinearity.- Plastic Deformation of an Aluminum Sphere.- Plastic Deformation of an Aluminum Cylinder.- Stress Analysis of a Reinforced Viscoelastic Cylinder.- Viscoplasticity Analysis of a Eutectic Solder Cylinder.- Combined Plasticity and Creep.- Contact.- Contact Analysis of a Block Dropping on a Beam.- Simulation of a Nano-indentation Test.- Advanced Topics In ANSYS(R): Coupled Degrees of Freedom.- Constraint Equations.- Submodeling.- Substructuring: Superelements.- Generation Pass.- Use Pass.- Expansion Pass.- Interacting with External Files.- Reading an Input File.- Writing Data to External ASCII Files.- Executing an External File.- Modifying ANSYS(R) Results.- Modifying the ANSYS(R) GUI.- GUI Development Demonstration.- GUI Modification for Obtaining a Random Load Profile.- Function Block for Selecting Elements Using a Pick Menu.- References.- Index.