
Finite Element Simulations Using ANSYS
Esam M. Alawadhi
Contents
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 . 239iv Contents
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 7 Meshing 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 .
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