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An Introduction to Metallurgy SECOND EDITION Sir Alan Cottrell THE INSTITUTE OF MATERIALS 1995 Book 626 Published in 1995 by The Institute ofMaterials 1Carlton House Terrace London SW1Y50B This book isareprint ofthe second edition published by Edward Arnold (Publishers) Ltd in 1975 Reproduced by kind permission © Alan Cottrell 1975 Allrights reserved ISBN 0901716 936 Printed and bound by Antony Rowe Ltd, Eastbourne Preface Because of their great practical value and scientific interest, metals lie at the cross-roads of many scientific and technological disciplines. Chemists are interested in the oxidation and reduction of metals, the catalytic proper- ties of metals and the laws by which metals combine together to form alloys. Chemical engineers apply their general principles of chemical processing to the production of pure metals from ores. Solid-state physicists are fasci- nated by the electronic and atomic structures of metals and by the ways in which these structures determine the characteristic properties of metals and alloys. Mechanical engineers are interested in the plastic working of metals, structural engineers in the mechanical performance of metals in practical use, and electrical engineers in all the special electrical and magnetic properties obtainable from metallic materials. The contributions to the science and technology of metals made by people in these fields are immensely valuable. Nevertheless, and quite naturally, each of them sees only his own side of the subject. The essential task of the metallurgist is to complement and coordinate the work of these specialists by acting as a general practitioner over the whole field..To take an example, if we wish to make an intelligent choice of a steel for a nuclear reactor pressure vessel we must know about the chemistry of steelmaking, about the rolling and welding ofsteel, about corrosion, about brittle fracture at low temperature and creep deformation at high temperature, about effects of damage to the atomic structure of metals by nuclear radiation, about commercial and economic factors, and about the interrelations of all these and many other things with one another. An equally wide spectrum of knowledge is required in other problems; for example, to develop a new turbine alloy or to diagnose the cause of failure in a broken aircraft under- carriage. A metallurgist, however much he may specialize in practice, must be able, when required, to take this wide, all-embracing view. It was with such thoughts in mind that I considered an invitation to prepare a new edition of my book Theoretical Structural Metallurgy. When that book was written, the pure science of metals was still quite new and there seemed a good case for bringing it to the attention of metallurgists in an elementary but specialized book. The position is now different. This science has become well established and triumphant. The need now, itseems to me, is to re-assert the unity of all metallurgical knowledge and to link up this new science with the more traditional aspects of the subject. A new vi PREFACE edition under the old title could not do this. I was thus led to attempt, instead, acomplete survey ofthe whole metallurgical field. What I have tried to do particularly isto show metallurgy as asingle applied science. This has meant developing the science as a continuous thread running through the subject, from atomic theory, through thermodynamics, reaction kinetics and crystal physics, to elasticity and plasticity, but stopping at all suitable places to show how the characteristic features of metals, alloys, and the processes of practical metallurgy, such as extraction, refining, casting, working, and. heat-treatment, grow out of this science. In choosing this pattern I have also been influenced by the feeling that the most intellec- tually exciting thing to do in metallurgy today is to apply the newly- discovered science to the invention and development of new metallurgical processes and materials. Naturally, I have not been able to go very far into anyone aspect of the subject. The book has been aimed, however, at those who are at the begin- ning of their metallurgical studies and so I hope that it will be forgiven its admitted lack of depth, for the sake of what I hope is a broad view. Christ's College, Cambridge ALAN COTTRELL 1966 Acknowledgements Much of this book has grown out of the more elementary parts of the courses taught in the Department of Metallurgy, University of Cambridge, and I am grateful to many friends there for their advice and help. I would additionally like to thank Mr G. C. Smith, Dr R. B. Nicholson, Dr B. Ralph, Dr S. Ranganathan and Dr J. R. Griffiths for kindly making avail- able the photographs used in this book. Acknowledgement is made for kind permission to reproduce the following diagrams: Figs. 15.6 and 15.14 from DESCH, c. H. (1944) Metallography 6th ed, Longmans, Green, London; Figs. 17.8 and 17.9 from CHALMERS, B. (1949) Prog, Metal Phys. 1, 77 (Pergamon Press, Oxford); Figs. 17.10 and 17.12 from CHALMERS, B. (1953) Prog. Metal Phys. 4, 205 (Pergamon Press, Oxford); Fig. 19.5 from the Clarendon Press, Oxford; Fig. 19.12 from SMITH, c. s. (1948) Trans. Am. Inst, Min. metall, Engrs., 175, 15; Fig. 19.14 from The Institute of Physics and The Physical Society. Preface to the Second Edition Since the first Edition was written the scientific community has largely yielded to the pressures brought upon it to conform to the 81 system of units. Ihave therefore accepted the inevitable and converted the text, in this second Edition, also to these units. For those who nevertheless find other systems, such as c.g.s., more congenial, Ihave included some conversion factors in a table at the front ofthe book. Ihave also taken the opportunity to up-date some ofthe information in the text. Jesus College, Cambridge ALAN COTTRELL 1974 Contents Preface Chapter Page 1 Prologue 1 The art and science of metals. Chemical metallurgy. Mechanical metallurgy. Physical metallurgy. Metallurgical science and industry. 2 The Atomic Nucleus 9 Composition of nuclei. Nuclear binding. Radioactive changes. Uses of radioactivity. Materials in nuclear reactors. Origin and abundance of the elements. 3 Atomic Structure 18 Electropositive and electronegative elements. The periodic table. Quantum mechanics. The Schrodinger equation. The hydrogen atom. Atomic structures of the elements. Sizes of atoms and ions. 4 Chemical Bonding 39 Forces between atoms. Origin of interatomic forces. Covalent bonding. Transition to ionic bonding. Transition to metallic bonding. The metallic state. 5 Heat and Energy 54 Thermodynamics. Internal energy and enthalpy. Standard thermodynamic properties. Combustion. Furnaces. 6 Entropy and Free Energy 67 Direction of chemical change. Entropy. Free energy. Phase changes; vaporization. The physical nature of entropy. The exponential energy distribution. Activation energy. 7 Free Energies of Metallic Compounds 81 The Ellingham diagram. Effect of temperature. Dissociation temperature and pressure. The equilibrium constant. Oxidizing- reducing gas mixtures. Solutions. Refractories. x CONTENTS 8 Extraction ofMetals 94 Metallic ores. Concentration of ore. Slags. Tin. Sulphide ores. Lead. Copper. Nickel.Zinc. The zincblast furnace. 9 Electrochemical Extraction and Refining Processes 107 Electrolysis. Aluminium. Magnesium, calcium and alkali metals. Electrochemistryofaqueoussolutions.Electrolyticextractionfrom aqueous solutions.Electrolyticrefiningin aqueoussolutions. 10 Extraction of Reactive and Refractory Metals 117 Introduction. The Pidgeonprocessformagnesium.Useofhalides. Titanium. Uranium. Refractory metals. Tungsten and Molyb- denum. 11 Iron and Steel Making 122 Introduction. The iron-making blast furnace. Chemistry of iron- making. Recent developments in the blast furnace method. Wrought iron. Early steel-making processes. The Bessemer process. The open hearth process. Killed and rimming steels. Electric steel-making.Ferro-alloys. Oxygensteel-making. 12 Kinetics of Metallurgical Reactions 143 Introduction. Theory ofreaction rates. Homogeneousand hetero- geneous reactions. Diffusion and heat conduction. Effects of mixing.Nucleation. 13 Solids, Liquids and Solidification 158 Metal crystals. Liquid metals. Nucleation ofcrystalsfrom amelt. Nucleation of melting. Glasses. Growth of crystals from a melt. The grain structure of metals. Solidification of solutions and impure metals. Structures of cast metals. Casting and related processes.Growth ofsinglecrystals. 14 Alloys 189 Types of alloys. So lid solutions. Primary substitutional solid solutions.Intermediate phases. Interstitial phases.The freeenergy ofsolidsolutions.Phasemixtures.The stablestateofanalloy.Equa- tions of phase equilibrium; the phase rule. The free energy of intermediate phases. Variation of solubility with temperature. Long-range order in solid solutions. Short-range order and anti- phase domains. Ordering ofcarbonatomsinmartensite. 15 The Phase Diagram 224 Introduction. Completemiscibilityinthe solidstate.Partialmisci- bility in the solid state. Systems containing intermediate phases. More complicatedphase diagrams.Phase changesin alloys.Zone refining. The determination of phase diagrams. Gas-metal systems.The chemicalpotential. xi CONTENTS 16 Ternary Phase Diagrams 250 Representation of the phase diagram. Simple eutectic system. Horizontal sections. Vertical sections. Ternary solid solutions. More complexdiagrams. 17 Metal Crystals-I Periodicity 261 Introduction.. Periodicity. Translational symmetry and crystal plasticity. Dislocations. Miller indices. Burgers vectors and glide systems in metals. Diffraction of x-rays. Electron and neutron diffraction.Electronmicroscopy.Field-ionmicroscopy. 18 Metal Crystals-II Directionality 296 Rotationalsymmetry.Stereographicprojection.Anisotropy.Strain. Stress. Hooke's law. Plastic glide of metal crystals. Plasticity of polycrystals.Coherent and non-coherent crystalboundaries. 19 MetalCrystals-III Energiesand Processes 322 Cohesion.Thermal properties.Energiesofdislocations.Energiesof surfaces.Grain boundariesandinterfaces.Misfitenergiesofsolute atoms and inclusions. Energies of point defects. Diffusion. Vacancycreepand sintering. Radiationdamage. 20 Heat-treatment ofAlloys 365 Introduction. Decomposition of supersaturated solid solutions. Development ofcommercialage-hardening alloys.Heat-treatment ofsteels.Formation ofpearlite.Pro-eutectoid reactions.Formation ofbainite.Formation ofmartensite.Tempering ofquenched steel. Case-hardeningofsteel. 21 Mechanical Properties 386 The tensile test. The yield stress. Yield points in metals. Effects of grain size. Alloy hardening. Work hardening. Recovery, re- crystallization,and hot working. Combined dispersion hardening andworkhardening. Creep.Theory offracture. Brittlefracture of steel. Chemical embrittlement. Creep rupture. Metal fatigue. Fibre strengthening. 22 PlasticWorking 428 Introduction. Simple elongation. Forging. Mechanics of plane strain deformation, The friction hill. Surfaceindentation. Rolling. Extrusion. Wire drawing.Deep drawingand sheetmetalworking. Seamlesstube making.Metalworkingathighspeeds.Superplasti- city. 23 Oxidationand Corrosion 451 Introduction. Oxidation. Prevention of oxidation. Corrosion in acids and alkalies. Electrochemical corrosion. Atmospheric cor- rosion. Intergranular corrosion and dezincification.Prevention or restraint ofcorrosion. Stress-corrosion. Corrosion-fatigue. xii CONTENTS 24 Electronic Structure and Properties 470 Electrons in a lattice. Brillouin zones. Metals and insulators. Con- ductivity of metals. Semi-conductors. Zone theory of alloys. Magnetic properties. Magnetic domains. Superconductivity. 25 Properties and Uses 509 Strength and cost. Plain carbon steels. Alloy steels. Cast iron. Strength and weight. Aluminium and its alloys. Chemical inertness. Copper and its alloys. Fusibility. High-temperature properties. Electromagnetic and nuclear properties. Index 537 List of Plates Plate Page 1 A. Grains in lightly-etched aluminium, x 100 244 B. Etched grains in nickel, x 300 244 2 A. Cored dendritic structure in chill cast 70-30 brass, x 100 245 B. Structure of cadmium-bismuth eutectic, x 100 245 3 A. Ferrite and pearlite in aslowly cooled 0·55 per cent carbon steel, x 1000 276 B. Electron microscope picture ofdislocations in two sets ofslip lines near a grain boundary in an Ni-Fe-Cr alloy, x 35 000 276 4 Helium field-ion microscope picture of a tungsten tip, showing atomic structure 277 5 Helium field-ion microscope picture of a dislocation in iridium, showing the helicoidal structure of atomic layers round the dislocation 372 6 A. Slip bands on differently oriented glide systems in polycrys- talline aluminium, x 500 373 B. Structure of ma rtensite in quenched 1·2 per cent carbon steel, x 750 373 7 A. Electron microscope picture of dislocation rings in a quenched AI-Cu alloy, x 56 000 404 B. Electron microscope picture of spherical G.P. zones, about 90 A diameter, in a quenched and aged AI-Ag alloy, x 190 000 404 8 A. Electron microscope picture ofholes formed byplastic defor- mation round spherical silica particles in copper, x 80 000 405 B. Small cleavage cracks near a major crack in a silicon-killed steel broken at IOoe, x 650 405

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Second Edition.The Institute of Materials, London, 1995. 548 p.Because of their great practical value and scientific interest, metals lie at the cross-roads of many scientific and technological disciplines. Chemists are interested in the oxidation and reduction of metals, the catalytic properties of
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