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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