## Elementary mechanics of plastic flow in metal formingMetal forming plasticity is an advanced subject of intensive current research relevant to both materials science and mechanical engineering. It is used for the analysis and modelling of fabrication processes such as forging, extrusion, rolling, wire, and tube drawing. The fundamentals of flow mechanics are explained here before they are applied in a variety of machine-tool design engineering situations. These fundamentals form the basis of all engineering analyses of the plastic flow in metal forming and are essential to all students of engineering. Worked examples showing the variety of metal forming situations and approximately 200 end-of-chapter problems are also included. |

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### Contents

Kinematics of Deformable BodiesThe Velocity Field | 63 |

Further Kinematics of Deformable BodiesThe Strainrate Field | 121 |

Kinetics of Deformable BodiesStokes Principle of Power Expended | 187 |

Copyright | |

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### Common terms and phrases

angle anvil applied assumed velocity field average effective strain axial strain-rate axis of symmetry billet block calculated calculus of variations chamber components compression constitutive equation cross-section cylinder deforming body denotes depends diameter die's differential dimensional analysis dimensions drawing estimate example extrusion flow-stress curve force forging forming frictional shear frictionless geometry grid height independent parameters initially located integral kinetic energy layer length load material description mechanical metal Mises materials obtained perfectly-plastic plane plastic deformation plastic flow platen polar coordinates potential energy power input power of deformation pressure principal directions principle Prob punch radial radial velocity radius reduction region ring rolls Section segment shape shear flow-stress shear strain-rate shear stress shear surface shown in Fig shows slug Solution specimen strain-rate field stream function streamline stress power strip substitute tensile tension test thickness Tresca upper-bound theorem upsetting vector volume constancy wire wire drawing work-hardening workpiece