Grain Boundary Properties: Energy (L21) - Materials Science and ...

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Grain Boundary Energy Distribution is Affected by Composition Δγ = 1.09 Δγ = 0.46 1 µm Ca solute increases the range of the γ GB /γ S ratio. The variation of the relative energy in undoped MgO is lower (narrower distribution) than in the case of doped material. 76
Bi impurities in Ni have the opposite effect Pure Ni, grain size: 20µm Bi-doped Ni, grain size: 21µm Range of γ GB /γ S (on log scale) is smaller for Bi-doped Ni than for pure Ni, indicating smaller anisotropy of γ GB /γ S . This correlates with the plane distribution 77
Page 1 and 2: 1 Carnegie Mellon MRSEC Grain Bound
Page 3 and 4: 3 Outline • Motivation, examples
Page 5 and 6: 5 Properties, phenomena of interest
Page 7 and 8: 7 • Grain boundary sliding should
Page 9 and 10: 9 Measurement of GB Energy • We n
Page 11 and 12: 11 Zero-creep Method • The zero-c
Page 13 and 14: 13 Definition of Dihedral Angle •
Page 15 and 16: 15 Unequal energies • If the inte
Page 17 and 18: 17 Wetting • For a large enough r
Page 19 and 20: 19 Triple Junction Quantities • G
Page 21 and 22: 21 Derivation of Herring Equs. A vi
Page 23: 23 γ S2 Analysis of Thermal Groove
Page 27 and 28: 27 Grain boundary energy: current s
Page 29 and 30: 29 Read-Shockley model • Start wi
Page 31 and 32: 31 Read-Shockley contd. • For an
Page 33 and 34: 33 Read-Shockley contd. • If the
Page 35 and 36: 35 Exptl. vs. Computed E gb Tilts
Page 37 and 38: 37 2 i i+2 r ij1 l’ ij j 1 j 3 r
Page 39 and 40: 39 Tilt versus Twist Boundaries Iso
Page 41 and 42: 41 λ(Δg, n) λ(n|5°/[100]) λ(n|
Page 43 and 44: 43 For all grain boundaries in MgO
Page 45 and 46: 45 Symmetric [110] tilt boundaries
Page 47 and 48: 47 Inclination Dependence • Inter
Page 49 and 50: 49 The torque term Change in inclin
Page 51 and 52: 51 Herring’s Relations
Page 53 and 54: 53 Aluminum foil, cross section •
Page 55 and 56: 55 How to Measure Dihedral Angles a
Page 57 and 58: 57 Calculation of G.B. Energy • I
Page 60 and 61: 60 3 ⎪⎪⎧⎧ ∑ ⎨⎨σ ˆ j
Page 62 and 63: 62 Grain Boundary Energy Calculatio
Page 64 and 65: 64 # of total TJs : 8694 # of {111}
Page 66 and 67: 66 Capillarity Vector • The capil
Page 68 and 69: 68 Capillarity vector definition
Page 71 and 72: 71 Computer Simulation of Grain Gro
Page 73 and 74: 73 • Steady state population deve
Page 75 and 76:
75 G.B. Energy: Summary • For low
Page 77 and 78:
77 Supplemental Slides
Page 79:
79 Expanded Young Equations • Pro
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