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

... 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 calculate...

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... 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...

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... 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 gr...

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... 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 )...

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... 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-...

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... 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 sublatti...

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... 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]....

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... 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 a...

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... 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...

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... 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...

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... 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...

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... 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-' (coh...

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... 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, an...

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... 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....

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... 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 s...

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