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Preface to the second edition

Preface to the first edition

Disclaimer

Introduction

1 Material properties

1.1 Tensile test

1.2 Effect of properties on forming

1.3 Other mechanical tests

1.4 Exercises

2 Sheet deformation processes

2.1 Introduction

2.2 Uniaxial tension

2.3 General sheet processes (plane stress) 16

2.4 Yielding in plane stress

2.5 The flow rule

2.6 Work of plastic deformation

2.7 Work hardening hypothesis

2.8 Effective stress and strain functions

2.9 Summary

2.10 Exercises

3 Deformation of sheet in plane stress

3.1 Uniform sheet deformation processes

3.2 Strain distributions

3.3 Strain diagram

3.4 Modes of deformation

3.5 Effective stress–strain laws

3.6 The stress diagram

3.7 Principal tensions or tractions

3.8 Summary

3.9 Exercises

4 Simplified stamping analysis

4.1 Introduction

4.2 Two-dimensional model of stamping

4.3 Stretch and draw ratios in a stamping

4.4 Three-dimensional stamping model

4.5 Exercises

5 Load instability and tearing

5.1 Introduction

5.2 Uniaxial tension of a perfect strip

5.3 Tension of an imperfect strip

5.4 Tensile instability in stretching continuous sheet

5.5 Factors affecting the forming limit curve

5.6 The forming window

5.7 Exercises

6 Bending of sheet

6.1 Introduction

6.2 Variables in bending a continuous sheet

6.3 Equilibrium conditions

6.4 Choice of material model

6.5 Bending without tension

6.6 Elastic unloading and springback

6.7 Small radius bends

6.8 The bending line

6.9 Bending a sheet in a vee-die

6.10 Exercises

7 Simplified analysis of circular shells

7.1 Introduction

7.2 The shell element

7.3 Equilibrium equations

7.4 Approximate models of forming axisymmetric shells

7.5 Applications of the simple theory

7.6 Summary

7.7 Exercises

8 Cylindrical deep drawing

8.1 Introduction

8.2 Drawing the flange

8.3 Cup height

8.4 Redrawing cylindrical cups

8.5 Wall ironing of deep-drawn cups

8.6 Exercises

9 Stretching circular shells

9.1 Bulging with fluid pressure

9.2 Stretching over a hemispherical punch

9.3 Effect of punch shape and friction

9.4 Exercises

10 Combined bending and tension of sheet

10.1 Introduction

10.2 Stretching and bending an elastic, perfectly plastic sheet

10.3 Bending and stretching a strain-hardening sheet

10.4 Bending a rigid, perfectly plastic sheet under tension

10.5 Bending and unbending under tension

10.6 Draw-beads

10.7 Exercises

11 Hydroforming

11.1 Introduction

11.2 Free expansion of a cylinder by internal pressure

11.3 Forming a cylinder to a square section

11.4 Constant thickness forming

11.5 Low-pressure or sequential hydroforming

11.6 Summary

11.7 Exercises

Appendix A1 Yielding in three-dimensional stress state

Appendix A2 Large strains: an alternative definition

Solutions to exercises

Index

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