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Equations of Materials [Kõva köide]

(Vice-Chancellor, University of Bradford, Bradford)
  • Formaat: Hardback, 328 pages, kõrgus x laius x paksus: 153x176x21 mm, kaal: 782 g, 113 color line figures and 15 grayscale halftones
  • Ilmumisaeg: 23-Jul-2020
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198851871
  • ISBN-13: 9780198851875
Teised raamatud teemal:
  • Formaat: Hardback, 328 pages, kõrgus x laius x paksus: 153x176x21 mm, kaal: 782 g, 113 color line figures and 15 grayscale halftones
  • Ilmumisaeg: 23-Jul-2020
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198851871
  • ISBN-13: 9780198851875
Teised raamatud teemal:
This primer describes important equations of materials and the scientists who derived them. It provides an excellent introduction to the subject by making the material accessible and enjoyable. The book is dedicated to a number of propositions:

1. The most important equations are often simple and easily explained; 2. The most important equations are often experimental, confirmed time and again; 3. The most important equations have been derived by remarkable scientists who lived interesting lives.

Each chapter covers a single equation and materials subject, and is structured in three sections: first, a description of the equation itself; second, a short biography of the scientist after whom it is named; and third, a discussion of some of the ramifications and applications of the equation. The biographical sections intertwine the personal and professional life of the scientist with contemporary political and scientific developments.

Topics included are: Bravais lattices and crystals; Bragg's law and diffraction; the Gibbs phase rule and phases; Boltzmann's equation and thermodynamics; the Arrhenius equation and reactions; the Gibbs-Thomson equation and surfaces; Fick's laws and diffusion; the Scheil equation and solidification; the Avrami equation and phase transformations; Hooke's law and elasticity; the Burgers vector and plasticity; Griffith's equation and fracture; and the Fermi level and electrical properties.

The book is written for students interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semiconductors and composites. It requires only a working knowledge of school maths, mainly algebra and simple calculus.

Arvustused

A wonderful book ... that does not take more than a couple of weeks to digest. Although students these days do not purchase many books, this particular text might be considered worth owning. * Harry Bhadeshia, University of Cambridge * A unique book - there is nothing like this in materials science that combines biography and analysis of the importance of equations. * Mark Miodownik, University College London * Engaging, effective and surprisingly readable... with an unflowery and straightforward style that pushes things along. * Patrick Grant, University of Oxford *

List of Portraits
xi
Preface xiii
1 Bravais Lattices
1(23)
1 Bravais lattices
1(3)
2 Auguste Bravais
4(10)
3 Crystal systems
14(1)
4 Point groups
15(2)
5 Space groups
17(1)
6 Crystal planes and directions
18(2)
7 Stereograms
20(1)
8 Non-crystallographic materials
21(1)
9 References
22(1)
10 Bibliography
23(1)
2 Bragg's Law
24(21)
1 X-ray diffraction
24(1)
2 Interference
25(2)
3 Bragg's law
27(1)
4 Lawrence Bragg
28(9)
5 X-ray scattering
37(2)
6 The structure factor
39(2)
7 Fourier transforms
41(1)
8 Electron diffraction and neutron diffraction
42(1)
9 References
43(1)
10 Bibliography
44(1)
3 The Gibbs Phase Rule
45(21)
1 The Gibbs phase rule
45(2)
2 J. Willard Gibbs
47(6)
3 Phase diagrams
53(2)
4 Invariant reactions
55(2)
5 The lever rule
57(1)
6 Solid solutions
58(1)
7 Compounds
59(5)
8 References
64(1)
9 Bibliography
65(1)
4 Boltzmann's Equation
66(25)
1 The laws of thermodynamics
66(2)
2 Boltzmann's equation
68(1)
3 Ludwig Boltzmann
69(8)
4 The fundamental equations of thermodynamics
77(3)
5 Gibbs free energy
80(1)
6 Physical properties
80(3)
7 Chemical reactions
83(1)
8 Solutions
84(5)
9 References
89(1)
10 Bibliography
90(1)
5 The Arrhenius Equation
91(18)
1 Chemical reactions
91(1)
2 Reaction kinetics
92(1)
3 The Arrhenius equation
93(1)
4 Svante Arrhenius
94(6)
5 Reaction equilibria
100(2)
6 Transition states
102(1)
7 Molecularity and order
103(2)
8 Collision theory
105(1)
9 Complex reactions
106(1)
10 References
107(1)
11 Bibliography
108(1)
6 The Gibbs-Thomson Equation
109(32)
1 Surface tension and surface energy
109(1)
2 The Gibbs-Thomson equation
110(1)
3 J. J. Thomson and William Thomson (Lord Kelvin)
111(18)
4 Nucleation of solidification
129(3)
5 Nucleation of precipitation
132(3)
6 Ostwald ripening
135(1)
7 Crystals
136(1)
8 Segregation and adsorption
137(1)
9 References
138(2)
10 Bibliography
140(1)
7 Fick's Laws
141(21)
1 Fick's first law
141(2)
2 Fick's second law
143(1)
3 Adolf Fick
144(5)
4 Thin- and thick-film solutions
149(4)
5 Diffusion mechanisms
153(1)
6 Random walk
154(2)
7 The Kirkendall effect and Darken's equations
156(2)
8 Self-diffusion
158(2)
9 Fourier's and Ohm's laws
160(1)
10 References
161(1)
11 Bibliography
161(1)
8 The Scheil Equation
162(18)
1 Solidification and casting
162(1)
2 Partitioning
162(2)
3 The Scheil equation
164(2)
4 Modified Scheil conditions
166(1)
5 Erich Scheil
167(1)
6 The driving force for solidification
168(1)
7 Nucleation
169(3)
8 Growth
172(3)
9 Eutectic solidification
175(1)
10 Casting
176(3)
11 References
179(1)
12 Bibliography
179(1)
9 The Avrami Equation
180(27)
1 The Avrami equation
180(2)
2 Melvin Avrami, Robert Mehl and Andrei Kolmogorov
182(10)
3 The driving force for transformation
192(1)
4 Nucleation
193(3)
5 Growth
196(1)
6 The Avrami exponent
197(3)
7 Precipitation reactions
200(1)
8 Eutectoid reactions
201(2)
9 Martensite reactions
203(1)
10 Time-temperature-transformation curves
204(1)
11 References
205(1)
12 Bibliography
206(1)
10 Hooke's Law
207(19)
1 Hooke's law
207(3)
2 Robert Hooke
210(5)
3 Interatomic forces
215(2)
4 Stress and strain tensors
217(4)
5 Generalised Hooke's law
221(1)
6 Elastic moduli
221(2)
7 Elastic limits
223(2)
8 References
225(1)
9 Bibliography
225(1)
11 The Burgers Vector
226(23)
1 Dislocations
226(3)
2 Jan Burgers
229(8)
3 Dislocation energy
237(2)
4 Dislocation motion
239(5)
5 The yield point and work hardening
244(2)
6 Deformation and annealing
246(1)
7 Other forms of plasticity
246(1)
8 References
247(1)
9 Bibliography
248(1)
12 Griffith's Equation
249(18)
1 Fracture
249(1)
2 The theoretical strength of materials
249(2)
3 Griffith's equation
251(2)
4 A.A. Griffith
253(9)
5 Fracture toughness
262(2)
6 Fractography
264(1)
7 References
265(1)
8 Bibliography
266(1)
13 The Fermi Level
267(34)
1 Electrical conduction
267(3)
2 Electrons in atoms
270(2)
3 The Fermi level
272(3)
4 Enrico Fermi
275(12)
5 Conductors
287(1)
6 Superconductors
288(1)
7 Insulators
289(2)
8 Semiconductors
291(3)
9 Electronic devices
294(3)
10 References
297(2)
11 Bibliography
299(2)
Index 301
Brian Cantor has worked as a materials scientist for over 40 years. He has been Vice Chancellor of the Universities of Bradford and York, Head of Mathematical and Physical Sciences and Cookson Professor of Materials at the University of Oxford, Vice President of the Royal Academy of Engineering, a research scientist at General Electric, a visiting professor at Washington State and IISc Bangalore, and a consultant at Alcan, NASA and Rolls-Royce. He is a Trustee of the Science Museums Group and Chair of the World Technology Universities Network. He was awarded a CBE for services to higher education in 2013.