Callister - An introduction - 8th edition

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384 • Chapter 10 / Phase Transformations 10.13 r* 2 SL ¢G y Critical radius for stable solid particle (heterogeneous nucleation) 351 10.14 ¢G* a 16p3 SL b S1u2 3¢G 2 y Activation free energy for formation of stable solid particle (heterogeneous nucleation) 351 10.17 y 1exp 1kt n 2 Fraction of transformation (Avrami equation) 355 10.18 rate 1 Transformation rate 355 t 0.5 List of Symbols Symbol Meaning Volume free energy ¢H f Latent heat of fusion k, n Time-independent constants S( u) Nucleus shape function T Temperature (K) T m Equilibrium solidification temperature (K) t 0.5 Time required for a transformation to proceed to 50% completion Surface free energy IL Liquid-surface interfacial energy (Figure 10.5) SL Solid-liquid interfacial energy SI Solid-surface interfacial energy u Wetting angle (angle between SI and SL vectors) (Figure 10.5) ¢G y Furthermore, reference to the heat treating of steels (as discussed in Chapter Processing/Structure/Properties/Performance Summary For iron–carbon alloys, in addition to discussions of the heat treatments that produce the several microconstituents (fine/coarse pearlite, bainite, martensite, etc.) and the mechanical properties of same, correlations were made between mechanical properties and structural elements of these microconstituents.These correlations are indicated in the following diagram. Steel Alloys (Structure) Development of microstructure in iron–iron carbon alloys (Chapters 9 & 10) Mechanical properties of iron–iron carbide alloys (Chapter 10) Steel Alloys (Properties) Pearlite (coarse and fine) Bainite Spheroidite Martensite Tempered martensite 11) normally means tempering of martensite to form tempered martensite. <strong>An</strong> understanding of the conditions under which martensite forms is facilitated by utilizing continuous cooling and isothermal transformation diagrams (Sections 10.5 and 10.6). In addition, these diagrams are just extensions of the iron–iron carbide phase diagram (Section 9.18). The following diagram notes these relationships.
Questions and Problems • 385 Steel Alloys (Processing) Iron–iron carbide Isothermal Continuous cooling phase diagram transformation transformation (Chapter 9) diagrams diagrams (Chapter 10) (Chapter 10) Martensite Tempering Heat treatment (formation of) (tempered of steels (Chapter 10) martensite) (Chapter 11) (Chapter 10) Important Terms and Concepts alloy steel athermal transformation bainite coarse pearlite continuous cooling transformation diagram fine pearlite free energy growth (phase particle) isothermal transformation diagram kinetics martensite nucleation phase transformation plain carbon steel spheroidite supercooling superheating tempered martensite thermally activated transformation transformation rate REFERENCES Brooks, C. R., Principles of the Heat Treatment of Plain Carbon and Low Alloy Steels, ASM International, Materials Park, OH, 1996. Krauss, G., Steels: Processing, Structure, and Performance, ASM International, Materials Park, OH, 2005. Porter, D. A., K. E. Easterling, and M. Sherif, Phase Transformations in Metals and Alloys, 3rd <strong>edition</strong>, CRC Press, Boca Raton, FL, 2009. Tarin, P., and J. Pérez, SteCal® 3.0 (Book and CD), ASM International, Materials Park, OH, 2004. Vander Voort, G. (Editor), Atlas of Time–- Temperature Diagrams for Irons and Steels, ASM International, Materials Park, OH, 1991. Vander Voort, G. (Editor), Atlas of Time–- Temperature Diagrams for Nonferrous Alloys, ASM International, Materials Park, OH, 1991. QUESTIONS AND PROBLEMS The Kinetics of Phase Transformations 10.1 Name the two stages involved in the formation of particles of a new phase. Briefly describe each. 10.2 (a) Rewrite the expression for the total free energy change for nucleation (Equation 10.1) for the case of a cubic nucleus of edge length a (instead of a sphere of radius r). Now differentiate this expression with respect to a (per Equation 10.2) and solve for both the critical cube edge length, a*, and also G*. (b) Is G* greater for a cube or a sphere? Why? 10.3 If copper (which has a melting point of 1085C) homogeneously nucleates at 849C, calculate the critical radius given values of 1.77 10 9 J/m 3 and 0.200 J/m 2 , respectively, for the latent heat of fusion and the surface free energy.
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Characteristics of Selected Element
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E IGHTH E DITION Materials Science
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Dedicated to our wives, Nancy and E
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viii • Preface FEATURES THAT ARE
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x • Preface 2. Answers to Concept
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Appreciation is expressed to those
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xiv • Contents 3. The Structure o
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xvi • Contents 9.12 Development o
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xviii • Contents 15.14 Factors Th
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xx • Contents 21.14 Optical Fiber
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xxii • List of Symbols HK Knoop
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Chapter 1 Introduction A familiar i
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1.2 Materials Science and Engineeri
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1.4 Classification of Materials •
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1.5 Advanced Materials • 11 aeros
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1.6 Modern Materials’ Needs • 1
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STEELS Processing Diffusion ➣ Rec
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Question • 17 REFERENCES Ashby, M
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WHY STUDY Atomic Structure and Inte
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2.3 Electrons in Atoms • 21 Orbit
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2.3 Electrons in Atoms • 23 Table
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2.3 Electrons in Atoms • 25 Table
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2.4 The Periodic Table • 27 Metal
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2.5 Bonding Forces and Energies •
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2.6 Primary Interatomic Bonds • 3
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2.6 Primary Interatomic Bonds • 3
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2.7 Secondary Bonding or van der Wa
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2.7 Secondary Bonding or van der Wa
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Summary • 39 Primary Interatomic
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Questions and Problems • 41 QUEST
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Questions and Problems • 43 Sprea
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WHY STUDY The Structure of Crystall
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lattice 3.4 Metallic Crystal Struct
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3.4 Metallic Crystal Structures •
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3.5 Density Computations • 51 EXA
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3.7 Crystal Systems • 53 Another
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3.8 Point Coordinates • 55 Concep
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3.9 Crystallographic Directions •
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3.10 Crystallographic Planes • 63
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3.12 Close-Packed Crystal Structure
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3.12 Close-Packed Crystal Structure
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3.15 Anisotropy • 73 (a) (b) grai
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3.16 X-Ray Diffraction: Determinati
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0° 3.16 X-Ray Diffraction: Determi
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3.17 Noncrystalline Solids • 79 (
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Summary • 81 Point Coordinates Cr
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Processing/Structure/Properties/Per
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Questions and Problems • 85 118.7
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Questions and Problems • 89 Inten
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WHY STUDY Imperfections in Solids?
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self-interstitial increases exponen
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2. Crystal structure. For appreciab
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4.4 Specification of Composition
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4.5 Dislocations—Linear Defects
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4.5 Dislocations—Linear Defects
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4.6 Interfacial Defects • 103 Ang
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4.6 Interfacial Defects • 105 MAT
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the order of 10 13 vibrations per s
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4.10 Microscopic Techniques • 109
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4.10 Microscopic Techniques • 111
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4.11 GRAIN SIZE DETERMINATION grain
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Summary • 115 Specification of Co
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Summary • 117 List of Symbols Sym
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Questions and Problems • 119 (a)
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Design Problems • 121 (a) at a ma
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WHY Study Diffusion? Materials of a
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5.2 Diffusion Mechanisms • 125 se
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5.3 Steady-State Diffusion • 127
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5.4 Nonsteady-State Diffusion • 1
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5.4 Nonsteady-State Diffusion • 1
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5.5 Factors That Influence Diffusio
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5.5 Factors That Influence Diffusio
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5.6 Diffusion in Semiconducting Mat
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is only an approximation), then the
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5.6 Diffusion in Semiconducting Mat
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Summary • 143 Diffusion in Semico
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Questions and Problems • 145 QUES
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Diffusion coefficient (m 2 /s) 10 -
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Design Problems • 149 the process
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WHY STUDY The Mechanical Properties
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6.2 Concepts of Stress and Strain
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6.2 Concepts of Stress and Strain
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6.3 Stress-Strain Behavior • 157
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6.4 Anelasticity • 159 Figure 6.8
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6.5 Elastic Properties Of Materials
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6.6 Tensile Properties • 163 Figu
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6.6 Tensile Properties • 165 in F
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6.6 Tensile Properties • 167 Brit
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6.6 Tensile Properties • 169 y F
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6.7 True Stress and Strain • 171
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6.9 Compressive, Shear, and Torsion
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Table 6.5 Hardness-Testing Techniqu
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Brinell Hardness Tests 15 6.10 Hard
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6.10 Hardness • 179 are contained
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6.11 Variability Of Material Proper
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6.12 Design/Safety Factors • 183
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Summary • 185 • For an isotropi
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Summary • 187 6.15 s T F True st
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Questions and Problems • 189 a lo
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Questions and Problems • 191 tens
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Questions and Problems • 193 modu
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Design Problems • 195 (a) Determi
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Chapter 7 Dislocations and Strength
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Dislocations and Plastic Deformatio
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7.3 Characteristics of Dislocations
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7.4 Slip Systems • 203 D B A (a)
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7.5 Slip in Single Crystals • 205
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7.5 Slip in Single Crystals • 207
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7.6 Plastic Deformation of Polycrys
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7.7 Deformation by Twinning • 211
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7.9 Solid-Solution Strengthening
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7.10 Strain Hardening • 215 (a) (
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7.10 Strain Hardening • 217 600 2
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7.11 RECOVERY recovery 7.12 RECRYST
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7.12 Recrystallization • 221 (e)
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7.12 Recrystallization • 223 DESI
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Summary • 225 Figure 7.25 The log
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Summary • 227 Strain Hardening
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Questions and Problems • 229 Iron
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Questions and Problems • 231 and
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Design Problems • 233 Spreadsheet
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WHY STUDY Failure? The design of a
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8.3 Ductile Fracture • 237 Figure
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8.4 Brittle Fracture • 239 8.4 BR
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8.4 Brittle Fracture • 241 SEM Mi
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8.5 Principles of Fracture Mechanic
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8.6 Fracture Toughness Testing •
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8.6 Fracture Toughness Testing •
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8.7 Cyclic Stresses • 255 Most ce
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8.8 The S-N Curve • 257 fatigue l
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8.9 Crack Initiation and Propagatio
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8.9 Crack Initiation and Propagatio
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8.10 Factors that Affect Fatigue Li
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8.12 Generalized Creep Behavior •
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8.13 Stress and Temperature Effects
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8.15 Alloys For High-Temperature Us
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Summary • 271 Ductile Fracture
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Summary • 273 • The presence of
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fatigue limit fatigue strength frac
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Questions and Problems • 277 Cycl
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Design Problems • 279 8.31 A cyli
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Chapter 9 Phase Diagrams The graph
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Definitions and Basic Concepts 9.2
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9.5 PHASE EQUILIBRIA equilibrium fr
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phases is along curve aO—likewise
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9.8 Interpretation of Phase Diagram
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9.9 Development of Microstructure i
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9.10 Mechanical Properties of Isomo
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9.11 Binary Eutectic Systems • 29
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9.12 Development of Microstructure
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9.13 Equilibrium Diagrams Having In
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9.14 Eutectoid and Peritectic React
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9.15 Congruent Phase Transformation
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9.17 The Gibbs Phase Rule • 317 F
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The Iron-Carbon System 9.18 The Iro
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9.18 The Iron-Iron Carbide (Fe-Fe 3
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Summary • 331 SUMMARY Introductio
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Page 367 and 368: Questions and Problems • 339 Figu
Page 369 and 370: Questions and Problems • 341 9.54
Page 371 and 372: WHY STUDY Phase Transformations? Th
Page 373 and 374: 10.3 The Kinetics of Phase Transfor
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Page 385 and 386: 10.5 Isothermal Transformation Diag
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Page 399 and 400: 10.7 Mechanical Behavior of Iron-Ca
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Page 403 and 404: 10.8 TEMPERED MARTENSITE In the as-
Page 405 and 406: 10.8 Tempered Martensite • 377 (b
Page 407 and 408: 10.9 Review of Phase Transformation
Page 409 and 410: Summary • 381 Figure 10.37. Of co
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Page 415 and 416: Questions and Problems • 387 10.1
Page 417 and 418: Questions and Problems • 389 (c)
Page 419 and 420: Chapter 11 Applications and Process
Page 421 and 422: 11.2 Ferrous Alloys • 393 Types o
Page 423 and 424: 11.2 Ferrous Alloys • 395 Table 1
Page 425 and 426: 11.2 Ferrous Alloys • 397 Table 1
Page 427 and 428: 11.2 Ferrous Alloys • 399 is exte
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Page 431 and 432: Table 11.5 Designations, Minimum Me
Page 433 and 434: 11.2 Ferrous Alloys • 405 is pres
Page 435 and 436: 11.3 Nonferrous Alloys • 407 Tabl
Page 441 and 442: Table 11.9 Compositions, Mechanical
Page 443 and 444: 11.3 Nonferrous Alloys • 415 or n
Page 445 and 446: 11.4 Forming Operations • 417 Met
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Page 449 and 450: 11.6 Miscellaneous Techniques • 4
Page 451 and 452: 11.7 Annealing Processes • 423 ox
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Page 455 and 456: 11.8 Heat Treatment of Steels • 4
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11.8 Heat Treatment of Steels • 4
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11.9 Precipitation Hardening • 43
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Summary • 443 Forming Operations
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Summary • 445 PROCESSING Recrysta
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Questions and Problems • 447 REFE
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Design Problems • 449 and temperi
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Chapter 12 Structures and Propertie
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12.2 Crystal Structures • 453 Con
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12.2 Crystal Structures • 455 Tab
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12.2 Crystal Structures • 457 Fur
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12.2 Crystal Structures • 459 VMS
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12.2 Crystal Structures • 461 Tet
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12.2 Crystal Structures • 463 EXA
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12.3 Silicate Ceramics • 465 Si 4
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12.3 Silicate Ceramics • 467 Figu
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12.4 Carbon • 469 Figure 12.16 Sc
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Another molecular form of carbon ha
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12.5 Imperfections in Ceramics •
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12.5 Imperfections in Ceramics •
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12.7 Ceramic Phase Diagrams • 477
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12.7 Ceramic Phase Diagrams • 479
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12.8 Brittle Fracture of Ceramics
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12.8 Brittle Fracture of Ceramics
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flexural strength Flexural strength
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12.10 Mechanisms of Plastic Deforma
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viscosities at ambient temperatures
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Summary • 491 Table 12.6 Vickers
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Summary • 493 • Diagrams for Al
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Questions and Problems • 495 visc
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Questions and Problems • 497 does
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Questions and Problems • 499 Stre
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Chapter 13 Applications and Process
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13.3 Glass-Ceramics • 503 Ceramic
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13.5 Refractories • 505 Glass-cer
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13.6 Abrasives • 507 (2910F). Thu
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13.8 Advanced Ceramics • 509 Seve
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13.8 Advanced Ceramics • 511 opti
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13.9 Fabrication and Processing of
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13.11 Powder Pressing • 523 a sca
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13.12 Tape Casting • 525 Figure 1
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Summary • 527 • Requirements fo
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Summary • 529 This chapter also d
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13.12 Compare the softening points
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WHY STUDY Polymer Structures? A rel
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14.3 Polymer Molecules • 535 Tabl
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14.4 The Chemistry of Polymer Molec
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14.4 The Chemistry of Polymer Molec
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Figure 14.3 Hypothetical polymer mo
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14.5 Molecular Weight • 543 Table
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14.7 Molecular Structure • 545 Fi
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14.8 Molecular Configurations • 5
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14.8 Molecular Configurations • 5
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14.10 Copolymers • 551 adjacent c
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14.11 Polymer Crystallinity • 553
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For copolymers, as a general rule,
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14.12 Polymer Crystals • 557 ~ 10
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14.14 Diffusion in Polymeric Materi
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Summary • 561 PET is permeable to
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Equation Summary Summary • 563 Po
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Important Terms and Concepts Questi
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Questions and Problems • 567 age
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Chapter 15 Characteristics, Applica
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15.2 Stress-Strain Behavior • 571
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15.3 Macroscopic Deformation • 57
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15.4 Viscoelastic Deformation • 5
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15.4 Viscoelastic Deformation • 5
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15.5 Fracture of Polymers • 579 F
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15.7 Deformation of Semicrystalline
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t 0 t t 0 t 0 Stage 1 Stage 2 (a) (
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15.8 Factors That Influence the Mec
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15.8 Factors That Influence the Mec
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15.9 Deformation of Elastomers •
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15.10 Crystallization • 591 Norma
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15.13 Melting and Glass Transition
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15.14 Factors That Influence Meltin
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15.15 Plastics • 597 Table 15.3 (
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15.16 Elastomers • 599 ing phenol
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15.18 Miscellaneous Applications
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15.19 Advanced Polymeric Materials
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15.19 Advanced Polymeric Materials
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The tensile modulus of this TPE mat
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15.20 Polymerization • 609 Additi
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15.22 Forming Techniques for Plasti
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15.22 Forming Techniques for Plasti
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15.24 Fabrication of Fibers and Fil
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Factors That Influence the Mechanic
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Summary • 619 Equation Summary Eq
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Questions and Problems • 621 McCr
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Questions and Problems • 623 Tens
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Design Questions • 625 Elastomers
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3.1 Hardness • 627 WHY STUDY Comp
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16.1 Introduction • 629 Dispersed
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16.2 Large-Particle Composites •
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16.2 Large-Particle Composites •
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Critical fiber length—dependence
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16.5 Influence of Fiber Orientation
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ut, because s/E, 16.5 Influence o
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16.6 The Fiber Phase • 645 Applic
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eactions with the environment. Such
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16.8 Polymer-Matrix Composites •
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16.8 Polymer-Matrix Composites •
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16.9 Metal-Matrix Composites • 65
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The high-temperature creep and rupt
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16.12 HYBRID COMPOSITES hybrid comp
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16.13 Processing of Fiber-Reinforce
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16.15 Sandwich Panels • 661 Figur
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Summary • 663 they remain separat
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Summary • 665 When l l c , Equat
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References • 667 List of Symbols
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Design Problems • 671 to be align
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Chapter 17 Corrosion and Degradatio
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Corrosion of Metals 17.2 Electroche
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17.2 Electrochemical Considerations
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17.4 Prediction of Corrosion Rates
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17.5 Passivity • 691 to further c
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17.7 Forms of Corrosion • 693 sur
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17.7 Forms of Corrosion • 695 Fig
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sodium chloride. Dilute sulfuric ac
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17.10 Oxidation • 703 Zinc coatin
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17.10 Oxidation • 705 Table 17.3
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Ceramic materials are frequently us
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17.12 Bond Rupture • 709 17.12 BO
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Summary • 711 marily a result of
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Summary • 713 Corrosion Preventio
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Questions and Problems • 715 REFE
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Chapter 18 Electrical Properties (b
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18.3 Electrical Conductivity • 72
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18.5 Energy Band Structures in Soli
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valence band conduction band energy
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covalent) and relatively weak, whic
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18.8 Electrical Resistivity of Meta
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18.9 Electrical Characteristics of
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18.10 Intrinsic Semiconduction •
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18.10 Intrinsic Semiconduction •
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18.11 Extrinsic Semiconduction •
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18.11 Extrinsic Semiconduction •
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18.12 The Temperature Dependence of
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18.13 Factors That Affect Carrier M
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DESIGN EXAMPLE 18.1 Acceptor Impuri
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18.14 The Hall Effect • 747 Depen
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18.15 Semiconductor Devices • 749
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18.16 Conduction in Ionic Materials
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ands that overlap the valence and c
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18.19 Field Vectors and Polarizatio
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18.19 Field Vectors and Polarizatio
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ionic polarization Electric dipole
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18.23 Dielectric Materials • 765
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Summary • 767 + + + + + + + + +
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Summary • 769 • With these mate
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Summary • 771 18.11 r i Ac i 11
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Summary • 773 One common use for
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Questions and Problems • 775 Elec
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Questions and Problems • 777 The
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Design Problems • 779 DESIGN PROB
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Chapter 19 Thermal Properties (a) (
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19.2 Heat Capacity • 783 Figure 1
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19.3 Thermal Expansion • 785 Tabl
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19.3 Thermal Expansion • 787 For
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19.4 THERMAL CONDUCTIVITY Thermal c
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19.4 Thermal Conductivity • 791 F
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19.5 Thermal Stresses • 793 speci
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Summary • 795 • Coefficient-of-
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Design Problems • 799 rod be fabr
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WHY STUDY the Magnetic Properties o
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20.2 Basic Concepts • 803 I B 0 =
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20.3 Diamagnetism and Paramagnetism
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20.4 Ferromagnetism • 807 Table 2
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20.5 Antiferromagnetism and Ferrima
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20.5 Antiferromagnetism and Ferrima
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20.6 The Influence of Temperature o
Page 843 and 844:
20.7 Domains and Hysteresis • 815
Page 845 and 846:
20.7 Domains and Hysteresis • 817
Page 847 and 848:
20.9 Soft Magnetic Materials • 81
Page 849 and 850:
20.9 Soft Magnetic Materials • 82
Page 851 and 852:
20.10 Hard Magnetic Materials • 8
Page 853 and 854:
20.11 Magnetic Storage • 825 requ
Page 855 and 856:
20.11 Magnetic Storage • 827 Figu
Page 857 and 858:
20.12 Superconductivity • 829 Ele
Page 859 and 860:
20.12 Superconductivity • 831 Tab
Page 861 and 862:
Summary • 833 • For cubic ferri
Page 863 and 864:
Questions and Problems • 835 List
Page 865 and 866:
Questions and Problems • 837 with
Page 867 and 868:
Design Problems • 839 H C 1T 2 H
Page 869 and 870:
WHY STUDY the Optical Properties of
Page 871 and 872:
21.3 Light Interactions with Solids
Page 873 and 874:
21.4 Atomic and Electronic Interact
Page 875 and 876:
21.5 Refraction • 847 Velocity of
Page 877 and 878:
21.7 ABSORPTION Nonmetallic materia
Page 879 and 880:
21.7 Absorption • 851 Reaction de
Page 881 and 882:
21.9 Color • 853 21.9 COLOR color
Page 883 and 884:
21.11 Luminescence • 855 Figure 2
Page 885 and 886:
21.11 Luminescence • 857 n- and p
Page 887 and 888:
21.13 Lasers • 859 Ruby Flash lam
Page 889 and 890:
21.13 Lasers • 861 Partially refl
Page 891 and 892:
21.4 Optical Fibers in Communicatio
Page 893 and 894:
Summary • 865 Input impulse Outpu
Page 895 and 896:
Summary • 867 Transparent nonmeta
Page 897 and 898:
Questions and Problems • 869 Impo
Page 899 and 900:
Design Problem • 871 fiber glass
Page 901 and 902:
WHY STUDY Economic, Environmental,
Page 903 and 904:
Environmental and Societal Consider
Page 905 and 906:
Environmental and Societal Consider
Page 907 and 908:
22.5 Recycling Issues in Materials
Page 909 and 910:
Page 911 and 912:
Page 913:
Design Questions • 885 Environmen
Page 916 and 917:
A2 • Appendix A / The Internation
Page 918 and 919:
A4 • Appendix B / Properties of S
Page 920 and 921:
Page 922 and 923:
Page 924 and 925:
A10 • Appendix B / Properties of
Page 926 and 927:
Page 928 and 929:
Page 930 and 931:
Page 932 and 933:
Page 934 and 935:
Page 936 and 937:
Page 938 and 939:
Page 940 and 941:
Page 942 and 943:
Page 944 and 945:
Page 946 and 947:
A32 • Appendix C / Costs and Rela
Page 948 and 949:
A34 • Appendix C / Costs and Rela
Page 950 and 951:
Appendix D Repeat Unit Structures f
Page 952 and 953:
A38 • Appendix D / Repeat Unit St
Page 954 and 955:
Appendix E Glass Transition and Mel
Page 956 and 957:
G2 • Glossary atomic mass units (
Page 958 and 959:
G4 • Glossary according to unit c
Page 960 and 961:
G6 • Glossary Fick’s first law.
Page 962 and 963:
G8 • Glossary J Jominy end-quench
Page 964 and 965:
G10 • Glossary alternating layers
Page 966 and 967:
G12 • Glossary stock; also, elong
Page 968 and 969:
G14 • Glossary tempered martensit
Page 970 and 971:
Answers to Selected Problems Chapte
Page 972 and 973:
S2 • Answers to Selected Problems
Page 974:
S4 • Answers to Selected Problems
Page 977 and 978:
plane strain fracture toughness, 24
Page 979 and 980:
Clay, characteristics, 518-519 Clay
Page 981 and 982:
Die casting, 419 Dielectric breakdo
Page 983 and 984:
Fatigue life, 258, G4 factors that
Page 985 and 986:
Heat treatable, definition of, 406
Page 987 and 988:
modulus of elasticity, 486 thermal
Page 989 and 990:
Nanotubes, carbon, 13, 471 Natural
Page 991 and 992:
fatigue behavior (PET), 580 magneti
Page 993 and 994:
single crystal, 451 structure of, 4
Page 995 and 996:
Stabilized zirconia, 478, 655 Stabi
Page 997 and 998:
Transparency, 844, G13 Transverse b
Page 999 and 1000:
Power 1 W 0.239 cal/s 1 cal/s 4.1
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Callister - An introduction - 8th edition

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