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kinetics of materials r balluff s allen w carter wiley 2005 potx

kinetics of materials r balluff s allen w carter wiley 2005 potx

kinetics of materials r balluff s allen w carter wiley 2005 potx

... mathematics and physics. Extensive discussion of mechanisms is therefore a feature of this book. We stress rigorous analysis, where possible, and try to build a foundation for un- derstanding kinetics ... the requisite tools for understanding most of the major aspects of kinetic processes in materials. 1.1 THERMODYNAMICS AND KINETICS In the study of materials science, two broad topics are traditionally ... Many materials properties are anisotropic: they vary with direction in the ma- terial. When anisotropic materials properties are characterized, the values used to represent the properties must...
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 1 pot

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 1 pot

... references and index. ISBN 13 97 8-0 -4 7 1- 2 468 9-3 ISBN -1 0 0-4 7 1- 2 468 9 -1 1 .Materials- Mechanical Properties. 2. Materials science I. Allen, Samuel M. 11 . Carter, W. Craig. 11 1. Kemper, Rachel A. ... old-newJ’old - - J’old - - Anew-oldXnewAold-new*ld 4 4- Therefore, Aold-new old new-rold xnew = - XA x- - XA and (1. 32) old - Anew-rOld new old-rnew This pattern-a rank-one tensor ... PART I1 MOTION OF DISLOCATIONS AND INTERFACES 11 Motion of Dislocations 11 .1 Glide and Climb 11 .2 Driving Forces on Dislocations 11 .2 .1 Mechanical Force 11 .2.2 Osmotic Force 11 .2.3...
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 2 ppt

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 2 ppt

... eigenvalues are -1 .27 2 52 -0 .871 722 0.14 423 8 01 = [ -0 .5:8613 ] 21 2 = [ -2 .413084 ] w3 = [ -0 .03105511 ] (1.57) Note that these eigenvectors are of arbitrary length. 42 CHAPTER ... - eq (2. 51) - - Bibliography 1. F.C. Larch6 and J .W. Cahn. A linear theory of thermochemical equilibrium of solids under stress. Acta Metall., 21 (8):105 1-1 063, 1973. 2 2, ... other ex- tensive quantities will develop as the system approaches equilibrium. Assume that Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. Craig Carter. 23 Copyright...
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 3 potx

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 3 potx

... D22 0 23 0 13 0 23 033 -g[ :::I -9 [ :::I -9 [ I,I] (4.84) Because of the cubic crystal symmetry, the fluxes parallel to the directions of the gra- dients in the three cases (i.e., -gD11, ... ffxx + ffyy + ffzz - ff1.7. + 066 + ffzz p =- (3. 80) 3 3 p(1+ v)b sine - p(1 + v)b y - - - 3~ (1 - U) T 3~ (l - V) x2 + y2 where p and v are the elastic shear ... concentrations of solid metals (the nickel-copper system). Jpn. J. Phys., 8 (3) :10 9-1 13, 1 933 . P. Shewmon. Diffusion in Solids. The Minerals, Metals and Materials Society, War- rendale,...
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 4 ppt

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 4 ppt

... D2 1 Jp = - J1 - A 52 Dll- D22 - A 2A and -0 21 Dll- D22 +A c2 c1 + 2A c, = - A Dll - D22 - A 2A c2 D2 1 cp =-c1 - A (6.32) (6.33) (6. 34) (6.35) The ... local thermal equilibrium at very small concen- trations. Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. Craig Carter. 131 Copyright @ 2005 John Wiley & ... velocity of the diffusant can be infinite. Schrodinger’s equation violates this relativistic principle. 99 Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. Craig Carter. ...
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 6 ppt

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 6 ppt

... 3. W. Schilling. Self-interstitial atoms in metals. J. Nucl. Mats., 6 9-7 0( 1-2 ): 46 5-4 89, 1978. 4. P. Shewmon. Diffusion in Solids. The Minerals, Metals and Materials Society, War- ... characteristic of the crystalline state no longer exists. Good bulk material is free of line or planar imperfections. Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. ... that Eqs. 8.183 indeed satisfy Eqs. 8.180 when higher-order terms involving products of the small quan- tities Ut-j/(kT) are neglected and k‘ = 6r’ c‘lq = - I +-+ -) Ul-2 u 1-3 3 (...
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 7 pot

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 7 pot

... 68(15):234 7- 2 349, 1992. 17. K. Ratzke, A. Heesemann, and F. Faupel. diffusion in Fe39Ni40B21 glass. J. Phys. Condens. Matter, 7( 39) :76 6 3 -7 668, 1995. The vanishing isotope effect of cobalt 18. R .S. ... size in amor- phous Ni-Zr. Phys. Rev. B, 37( 11):653 3-6 535, 1988. 26. R. Kirchheim. Interstitial diffusion in glass. Defect and Diffusion Forum, 9 5-9 8:115 9- 1164, 1993. 27. R. Kirchheim. ... 1 976 . 29. G.N. Greaves. EXAFS and the structure of glass. J. Non-Cryst. Solids, 71 ( 1-3 ):20 3- 30. C. Huang and A.N. Cormack. The structure of sodium silicate glass. J. Chem. Phys., 2 17, ...
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 9 ppt

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 9 ppt

... bicrystals. Sow. Phys. Solid State, 23(10):171 8-1 721, 198 1. 22. R .W. Siegel, S.M. Chang, and R .W. Balluffi. Vacancy loss at grain-boundaries in quenched polycrystalline gold. Acta Metall. Muter., ... and R .W. Balluffi. Direct observation of grain boundary dis- location climb in ion-irradiated gold bicrystals. Phil. Mag., 26:23 9- 2 52, 197 2. 25. K.E. Rajab and R.D. Doherty. Kinetics of growth ... Metallkd., 66 (9) :53 3-5 39, 197 5. 16. P .R. Howell, J.O. Nilsson, and G.L. Dunlap. The effect of creep deformation on the structure of twin boundaries. Phil. Mag. A, 38(1):3 9- 4 7, 197 8. 17. D.A....
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 10 ppt

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 10 ppt

... [l] and Wagner [2]. Most of the Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. Craig Carter. 363 Classical Mean-Field Theory of Coarsening * Copyright ... Lett., 58(6):27 1-2 75, 1988. 27. J.A. Glazier, S.P. Gross, and J. Stavans. Dynamics of two-dimensional soap froths. Phys. Rev. A, 36(1):30 6-3 12, 1987. 28. W .W. Mullins. On idealized 2 ... Rcut-off, always corresponds to 1.5(R). The rate of growth of the largest particles is therefore given by Eq. 15.13: (15.52) dRcut-off - 2&aceq(w) ( 1 1 ) - dt kTRcut-off...
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 11 pptx

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 11 pptx

... R.B. Heady and J .W. Cahn. An analysis of capillary force in liquid-phase sintering of spherical particles. Metall. Trans., 1(1):18 5-1 89, 1970. J .W. Cahn and R.B. Heady. Analysis of ... need to be considered. Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. Craig Carter. 419 Copyright @ 2005 John Wiley & Sons, Inc. PART IV PHASE TRANS ... liquid-phase sintering of jagged particles. J. Am. Cerum. SOC., 53(7):40 6-4 09, 1970. W.C. Carter. The forces and behavior of fluids constrained by solids. Actu Metall., 36(8):228 3-2 292,...
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 13 doc

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 13 doc

... morphologically unstable). Other types of growth are treated elsewhere in this book. Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. Craig Carter. 501 Copyright 0 2005 ... answer. -yc = 160 mJ m-2 7' = 800 mJ m-2 AgE = 2.6 x lo9 J m-3 AgB = 8 x lo6 (T - 900K) J m -3 K-' (coherent interface) (incoherent interface) (coherent particle) ... jump. Two-Component System with Isotropic Interfaces and Strain Energy Present. An ex- ample of this case is the solid-state precipitation of a B-rich P phase in an A-rich a-phase matrix....
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Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 17 ppt

Kinetics of Materials - R. Balluff S. Allen W. Carter (Wiley 2005) WW Part 17 ppt

... faceting of surface, 347, 60 9-6 10 Fe, 30, 167, 169, 192, 206, 221, 317, 579 Fe-A1, 451, 456 Fe-C, 69, 566 Fe-C-Si, 69 FeCr. 451 Fe-Crko, 451 Fe-Mo, 451, 456 Fe-Ni. 57 4-5 75. 57 8-5 80 FeNi-C, ... algebraic signs of, 53, 435 anisotropy of, 88 definition of, 42 interdiffusivity, 4 9-5 0, 5 3-5 4, 87 in spinodal region, 43 3-4 35 intrinsic, 47, 5 3-5 4 self, 43, 5 3-5 4 self-diffusivity of solute, ... 556 AgBr, 168, 177 , 179 Al. 212. 222. 271. 315. 317. 556. 593 ,/,,, A1203, ‘349 A1-Ag, 320 Al-Cu, 556, 56 0-5 61 Al-Zn,’ 448,’ 451, 454 alkali halides, 177 Allen- Cahn equation, 441...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 1 ppt

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 1 ppt

... Grain-Boundary Diffusion 9.2 .1 9.2.2 9.2.3 14 1 14 1 14 1 14 5 14 5 14 6 14 8 14 9 15 4 15 5 15 6 15 8 15 8 15 9 16 3 16 3 16 4 16 4 16 5 16 7 16 7 16 9 16 9 17 7 18 3 18 3 18 9 18 9 19 0 209 ... (1. 58) 1 1 1 -1 .27252 -0 .8 717 22 0 .14 4238 1 1 1 - P= [ -0 .538 613 -2 .43084 -0 .0305 511 The inverse of may be calculated as (1. 59) -0 .83 214 9 0.3522 21 0 .13 0788 P-' = 0 .17 613 9 ... references and index. ISBN 13 97 8-0 -4 7 1- 2 468 9-3 ISBN -1 0 0-4 7 1- 2 468 9 -1 1 .Materials- Mechanical Properties. 2. Materials science I. Allen, Samuel M. 11 . Carter, W. Craig. 11 1. Kemper, Rachel A....
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 2 potx

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 2 potx

... LW 4- (2. 28) will arise. The existence of the force Fq indicates the presence of a gradient in the electrical potential, V4, along the bar. Therefore, using Eqs. 2. 28 and 2. 26, LQQ ... then Eq. 2. 15 reduces to TU =-& amp;.Vc$ (2. 52) Using Ohm's law, & = -pV4, TU = p 10c$l2 (2. 53) Because U 2 0 and lVc$ 12 is positive, p must be positive. 2. 2 An isolated ... and R2. The sum of these two equations, using Eqs. A.8 and A.lO, is6 dCi dX JC = ci (us - w,") = -Di- (3.16) dCl w," - [R1ClW,R + R2C&] = (Dl - D2) R 1- dX...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 3 doc

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 3 doc

... ff 13 p11 pl2 p 13 ff2l ff22 ff 23 p2l p22 p 23 a31 a32 ff 33 p31 p32 p 33 711 712 7 13 711 v12 7 13 721 722 7 23 721 722 77 23 . 731 732 733 731 v32 v 33 (4.79) (b) Onsager's ... D22 0 23 0 13 0 23 033 -g[ :::I -9 [ :::I -9 [ I,I] (4.84) Because of the cubic crystal symmetry, the fluxes parallel to the directions of the gra- dients in the three cases (i.e., -gD11, ... (4. 73) (4.74) 4 5 DIFFUSIVITY AS A FUNCTION OF DIRECTION 89 Dll - Dl2 Dl3 det D12 022 - X 0 23 Dl3 0 23 033 - ani~otropy.~ The isotropic form for Fick’s law is f= -DVc...
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