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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 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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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 4 doc

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 4 doc

... 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 ... expansions of erf(z): For small z, (5. 142 ) and for large z, + ) 1 1 1x3 1X3X5 - - - + - - 239 erfc(z) = 1 - erf(z) = (5. 143 ) (c) Give a physical interpretation of the ... coefficients. Phys. Rev., 76(8):116 9- 1175, 1 949 . G.H. Vineyard. F’requency factors and isotope effects in solid state rate processes. J. Chem. Phys. Solids, 3( 1-2 ):12 1-1 27, 1957. S.A. Rice....
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 5 pot

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 5 pot

... E.L. Thomas. The Structure of Materials. John Wiley & Sons, New York, 1999. 2. R.A. Johnson. Empirical potentials and their use in calculation of energies of point- defects ... + 2 (A-type) and type 1 -+ 3 (B-type) jumps, respectively, in Fig. 8.8b. Then, because there are four nearest-neighbors for A-type jumps and eight next-nearest-neighbors for B-type jumps, ... these displacements will be small compared to -l/z, and therefore Eq. 8.29 can be written 1-l/z 2-1 l+l/z z+1 - fx- - - (8.30) and f = 0. 85 for f.c.c. crystals, which is close to the...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 6 pot

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 6 pot

... size in amor- phous Ni-Zr. Phys. Rev. B, 37(11) :65 3 3 -6 535, 1988. 26. R. Kirchheim. Interstitial diffusion in glass. Defect and Diffusion Forum, 9 5-9 8:115 9- 1 164 , 1993. 27. R. Kirchheim. ... M 0 - -1 2 -1 4 -1 6 -1 8 -2 0 -2 2 6 8 10 12 1041~ ( ~-1 ) Figure 9.3: Self-diffusivities of 0 and Ni on their respective sublattices in a NiO sin le crystal free of significant ... 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) Episode 7 ppt

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 7 ppt

... crystalline materials. Acta Metall., 5. J .W. Cahn, W.B. Hillig, and G .W. Sears. The molecular mechanism of solidification. 6. S.D. Peteves and R. Abbaschian. Growth -kinetics of solid-liquid ... GLIDE 265 1 07 105 103 I0 1 0-1 1 0-3 1 0-5 1 0 -7 0.1 1 10 100 Applied shear stress (kg mm-2) Figure 11 .7: crystals. From Johnston and Gilman [lo]. Velocity vs. resolved shear ... 11.4: DISLOCATION CLIMB 273 rate of the loop is then RI - - 6RL - R bNv - (11.35) 6t 2.irbR~ bt 2rbR~ -_ - 2r *D epbC2/[4x(l-v)kTR~] ln(4R~/R,) - 1 f b In( 8RL/Ro) This...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 8 ppsx

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 8 ppsx

... bicrystals. Sow. Phys. Solid State, 23(10):171 8- 1 721, 1 981 . 22. R .W. Siegel, S.M. Chang, and R .W. Balluffi. Vacancy loss at grain-boundaries in quenched polycrystalline gold. Acta Metall. Muter., ... Petroff, and R .W. Balluffi. Direct observation of grain boundary dis- location climb in ion-irradiated gold bicrystals. Phil. Mag., 26:23 9-2 52, 1972. 25. K.E. Rajab and R.D. Doherty. Kinetics ... structure of ledges at plate-shaped precipitates. Acta Metall., 27. F .S. Ham. Theory of diffusion limited precipitation. J. Phys. Chem. Solids, 6(4):33 5- 19(3): 18 1-1 92, 1971. 351, 19 58. EXERCISES...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 9 pps

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 9 pps

... Lett., 58(6):27 1-2 75, 198 8. 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, 198 7. 28. W .W. Mullins. On idealized 2 ... (expected). 2(1):21 5-2 19, 197 1. Phys., 55:26 9- 3 14, 2001. software. 27 (8) : 90 0 -9 04, 195 6. The effect of thermal grooving on grain boundary motion. CHAPTER 15 COARSENING OF MICROSTRUCTURES ... the gamma-prime rafting in nickel-base superalloys. J. Mater. Res., 6 (9) :184 3-1 855, 199 1. 17. P .W. Voorhees, G.B. McFadden, R.F. Boisvert, and D.I. Meiron. Numerical simulation of morphological...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 10 ppt

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 10 ppt

... Publishers. 31. B.H. Alexander and R .W. Balluffi. Mechanism of sintering of copper. Acta Metall., 32. C. Herring. Effect of change of scale on sintering phenomena. J. Appl. Phys., 21:30 1- ... shrinkage rate, Eq. 16.2, becomes dL RAG*D~A 3R.4 6*DB dt kT 2w3kT (16.16) (fapp + rwires) - - _- - - $ rwires = 2y’(~w - sin -) 2 If surface diffusion or vapor transport is ... from the 16.2: DIFFUSIONAL CREEP 399 0.0 9 -2 .0. * 4. 0- 5 3 - -6 . 0- -8 .0 with A1 = 32, and for diffusion-controlled Nabarro-Herring creep, Theoretical shear stress Dislocation...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 11 doc

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 11 doc

... isotropic elasticity, lo 23 23 zZ - cospz and €tot - tot - tot - tot - tot - xx - eyy - exy - eyr - E,, - 0 (18.37) €tot - 1-v The elastic strains, e:?, required ... satisfy Eq. 18.37 are 2v 1-u cos pz zZ - cy,sc- xx - fyy - -Qc 6c cos pz =o xy - Eyz - ZX €elas - €elas - elas - (18.38) €elas - elas - €elas where u is Poisson's ... of this nucleation, including classical and nonclassical models. Rates of nucleation are analyzed under quasi-steady-state and non-steady-state conditions. The influence of the nature of...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 12 pot

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 12 pot

... Calculations of two-phase diffusion in metallic systems including the interfacial reactions. Trans. AIME, 245( 10):229 3-2 297, 1969. 9. W .W. Mullins and R.F. Sekerka. Morphological stability of a ... possible? at 510 K? Justify your 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 ... combining Eqs. 20.26 and 20.27, - dX1 (cg - cg) = R2 (cg - cg) dt and by combining Eqs. 20.27 and 20.28, * (cg - cg) = R2 (cg - dt (20.83) cg) (20.84) When Eqs. 20.83 and...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 13 pptx

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 13 pptx

... 135 :41 6-4 42, 1939. See also discussion on pp. 44 2-4 58. M. Avrami. Kinetics of phase change-I. J. Chem. Phys., 7(12):110 3-1 112, 1939. M. Avrami. Kinetics of phase change-11. Transformation-time ... and complex [ 1-7 ]. Precipitation will generally involve the formation of critical Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. Craig Carter. 555 Copyright ... and its parent phase must therefore be of the same chemical compo- Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. Craig Carter. 563 Copyright @ 2005 John Wiley...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 14 pps

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 14 pps

... Averback, R .S. 234, 239 Avrami, M. 534 Baldwin, R.L. 42, 48 Ball, J.M. 572 Balluffi, R .W. 46, 48, 51, 399, 406 174, 214, 216, 22 0-2 22, 227, 26 7-2 72, 274, 304, 30 6-3 08, 31 1-3 16, 31 8-3 21, ... density p. For example, an alloy of copper and zinc has five stoi- Kinetics of Materials. By Robert W. Balluffi, Samuel M. Allen, and W. Craig Carter. 587 Copyright @ 2005 John ... from R.H. Beton and E.C. Rollason, “Hardness reversion of dilute aluminum-copper and aluminum-copper-magnesium alloys,” Journal of the Institute of Metals, Vol. 86, pp. 7 7-1 17. Copy- right...
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Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 15 ppt

Kinetics of Materials - R. Balluff_ S. Allen_ W. Carter (Wiley_ 2005) Episode 15 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, ... formation of helical dislocations, 268, 279 osmotic force, 256 role of stacking-fault energy, 269 shrinkage of dislocation loops, 271 source-limited kinetics, 267 dissociation of, 222 energy of...
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