COMPUTATIONAL MATERIALS ENGINEERING Episode 8 doc

... (Length) c(x)/c 0 0 24 681 0 sqrt(4 Dt) = 100 2 1 0.5 0 0.2 0.4 0.6 1.0 0 .8 5 20 FIGURE 5 -8 Solutions to Fick’s second law for semi-inifinite sample. 164 COMPUTATIONAL MATERIALS ENGINEERING c i,t+∆t = ... the markers is related to the difference in the diffusion coefficients. 1 68 COMPUTATIONAL MATERIALS ENGINEERING Equation (5. 48) shows that the macroscopic diffusion coefficient...

Ngày tải lên: 13/08/2014, 08:21

... limiting case of an infinitesimally small 136 COMPUTATIONAL MATERIALS ENGINEERING C _ C 0 _ C 0 + C 1 Dt 1 2 1 0 .8 0.6 0.4 0.4 0.2 0.2 0.4 0.6 0 .8 1 0.2 0.005 FIGURE 4-26 Comparison of theory ... of a random walker [equation (5.5)] and using the spatial coordinate r leads to 1 58 COMPUTATIONAL MATERIALS ENGINEERING Literature in Journals Here is a list of articles in whic...

Ngày tải lên: 13/08/2014, 08:21

... to, for example, the textbook by Khashchiev [Kha00] or the review by Russell [Rus80]. 188 COMPUTATIONAL MATERIALS ENGINEERING Concentration of B Temperature b a + b a A B c b c ab FIGURE 6-11 Binary ... vacancies. 186 COMPUTATIONAL MATERIALS ENGINEERING Block 1 Block 2 Block 3 Block 4 AA A ABB B B FIGURE 6-7 Calculation of interfacial energies. Interface Matrix Precipitate FIGUR...

Ngày tải lên: 13/08/2014, 08:21

... 10 .82 6.13 2 .85 1.215 0.36 Au fcc 18. 60 15.70 4.20 2. 987 0.46 Cr bcc 35.00 5. 78 10.10 0.691 0.14 Cu fcc 16 .84 12.14 7.54 3.209 0.42 Fe bcc 24.20 14.65 11.20 2.346 0. 38 Li bcc 1. 48 1.25 1. 08 9.391 ... the use of the Airy stress function, equations (8. 86)–( 8. 88) . By using the substitution (σ 11 + σ 22 )=∇φ (8. 91) the biharmonic equation (8. 88) can be transformed into the ha...

Ngày tải lên: 13/08/2014, 08:21

... statics, 284 – 288 2D, 285 , 286 , 287 , 289 Anisotropic, 287 Isotropic, 285 3D Anisotropic, 292 Field equation, 289 Field equations, 292 Isotropic, 289 Infinite dislocation, 285 , 286 , 287 Isotropic, 289 Dislocation–dislocation ... 67, 87 , 88 , 253 Grain structure, 220 Green’s function, 2 68, 280 , 281 , 283 Tensor, 281 Time-dependent, 281 Time-independent, 281 Green–Lagrange...

Ngày tải lên: 13/08/2014, 08:21

... very easy to quantitatively compare the speed-up algorithms with the vanilla code. 80 COMPUTATIONAL MATERIALS ENGINEERING FIGURE 3-14 Snapshot of circle shrinking under curvature on a 2D triangular ... this occurs then when the two processors attempt to calculate ∆E for a spin flip, they 84 COMPUTATIONAL MATERIALS ENGINEERING (b)(a) FIGURE 3-15 (a) A soap froth—the structure is s...

Ngày tải lên: 13/08/2014, 08:21

... nonlinear transient at the beginning and end of the simulations. Why do these occur? 88 COMPUTATIONAL MATERIALS ENGINEERING PROBLEM 3-32: Comparing the Effect of Boundary Conditions Use your imported ... simulation Y N Y N FIGURE 3-30 The parallel algorithm for the Potts model. 86 COMPUTATIONAL MATERIALS ENGINEERING 0.05 0 −0.05 0 2000 4000 6000 80 00 1 × 10 4 Time (MCS) dp...

Ngày tải lên: 13/08/2014, 08:21