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Dislocation: dynamics, interactions and plasticity Slip systems in bcc/fcc/hcp metals Dislocation dynamics: cross-slip, climb Interaction of dislocations Intersection of dislocations

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Edge/screw/mixed dislocations? Screw: Burgers vector parallel to the dislocation line. Edge: Burgers vector normal to the dislocation line.

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Dislocation dynamics EdgeScrew Slip Direction|| to b|| to b between line and b || Line movement rel. to b|| How can disloc. leave slip planeclimb cross-slip n=( ) n=(111) b u b=n 1 xn 2 = (111)x ( ) = Climb: diffusion controlled. Important mechanism in creep.

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Slip systems in crystals BCC FCC HCP {110} {211} {321} {0001} (10-10) (10-11) {111} Fe, Mo, W, brass Fe, Mo, W, Na Fe, K

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b Superdislocation and partial dislocations Superdislocations in ordered material are connected by APB b Motio n of partial s Separation of partials Partial Dislocations b = b 1 + b 2 If energy is favorable, Gb 2 > Gb 1 2 + Gb 2 2 then partial dislocation form. ( Ga 2 /2 > Ga 2 /3)

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Sessile dislocation in fcc n=(001) motion b Unless lock (sessile dislocation) is removed, dislocation on same plane cannot move past. n motion Lormer-Cottrell lockLormer lock

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Sessile dislocation in bcc [001] is not a close-packed direction -> brittle fracture

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Edge dislocation stress field y=x y=–x

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Edge dislocations interaction edges dislocations with identical b X=Y repulsive attractive Stable at X=0 for identical b; Stable at X=Y for opposite b.

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Edge dislocations interaction (general case) For an edge dislocations

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Screw dislocations interaction Example: two attracting screws u (1) = (001) =u (2) b (1) = (001)b = –b (2) b1b1 radial force b1b1 r 1 2

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Edge-Edge Interactions: creates edge jogs Dislocation 1 got a “jog” in direction of b 2e of the other dislocation; thus, it got longer. Extra atoms in half-plane increases length. This dislocation got a jog in direction of b 1e. after b 1e b 2e before b 1e b 2e **Dislocations each acquire a jog equal to the component of the other dislocation’s Burger’s vector that is normal to its own slip plane.

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Dislocation intersection Interaction of two edges with parallel b Two screw kinks (screw) Edge jog on the edge Edge kink on the screw Edge jogs on screws

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Forces B/w Dislocations Consider two parallel (//) edge dislocations lying in the same slip plane. The two dislocations can be of same sign or different.

Forces B/w Dislocations Consider two parallel (//) edge dislocations lying in the same slip plane. The two dislocations can be of same sign or different.

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