Finite Element Simulations Using ANSYS Book

Preface v

Acknowledgments vii

Chapter 1 Introduction 1

1.1 Finite Element Method 1

1.2 Element Types 4

1.3 Symmetries in Models 5

1.4 Introduction to ANSYS 8

Chapter 2 Trusses 15

2.1 Development of Bar Elements 15

2.2 Analyzing a Bar-Truss Structure 23

2.3 Development of Horizontal Beam Elements 36

2.4 Analyzing a Horizontal Beam Structure 42

2.5 Beam-Truss Structure under a Transient Loading 56

Problems 74

Chapter 3 Solid Mechanics and Vibration 79

3.1 Development of Plane Stress-Strain Elements 79

3.2 Stress Concentration of a Plate with Hole 90

3.3 Displacement Analysis of a Vessel 106

3.4 Three-Dimensional Stress Analyses of I-Beams 118

3.5 Contact Element Analysis of Two Beams 130

3.6 Vibration Analysis 147

3.7 Modal Vibration for a Plate with Holes 151

3.8 Harmonic Vibration for a Plate with Holes 169

3.9 Higher-Order Elements 175

Problems 178

Chapter 4 Heat Transfer 183

4.1 Introduction to Heat Conduction 183

4.2 Finite Element Method for Heat Transfer 186

4.3 Thermal Analysis of a Fin and a Chip 188

4.4 Unsteady Thermal Analyses of Fin 206

4.5 Phase Change Heat Transfer 222

Problems 239

Chapter 5 Fluid Mechanics 245

5.1 Governing Equations for Fluid Mechanics 245

5.2 Finite Element Method for Fluid Mechanics 248

5.3 Flow Development in a Channel 250

5.4 Flow around a Tube in a Channel 269

Problems 292

Chapter 6 Multiphysics 295

6.1 Introduction 295

6.2 Thermal and Structural Analysis of a Thermocouple 296

6.3 Chips Cooling in a Forced Convection Domain 312

6.4 Natural Convection Flow in a Square Enclosure 337

6.5 Oscillations of a Square-Heated Cylinder in a Channel 356

Problems 376

Chapter 7Meshing Guide 381

7.1 Mesh Refinement 381

7.2 Element Distortion 383

7.3 Mapped Mesh 384

7.4 Mapped Mesh with ANSYS 387

Problems 397

Bibliography 401

Index 403