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https://edge.edx.org/courses/MSM/M21/2013_Winter/about
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Materials, transformation temperatures & strength
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Olson and Hartman, 1982
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Olson and Hartman, 1982
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Olson and Hartman, 1982
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Diffusionless transformation?
Martensite can form at very low temperatures. Martensite can grow very rapidly. No composition change during transformation.
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Shape of martensite ?
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Irrational: why?
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Orientation relationships: irrational
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athermal transformation
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Creation of a bi-crystal
cut and rotate by angle q about axis normal to diagram q
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Glissile interface
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Glissile interface cannot contain more than one set of dislocations.
Martensitic transformation only possible if the deformation which changes the parent into the product leaves one line undistorted and unrotated, i.e. an invariant-line. Deformation is an invariant-line strain.
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50 mm
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general invariant-plane strain
d s 1 uniaxial dilatation simple shear general invariant-plane strain s=0.26 d=0.03
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s d c r 1 Christian, 1957
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body-centred cubic cubic close-packed
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The Bain strain
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[001] b b' o [100] a' a b (a) o b' (b) a,a'
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RB P P 1 2 (c) x w z y Martensite (wrong shape) Austenite (a) w x y z
Observed shape, wrong structure P (b) w x z y 1 Twinned Martensite Twin Boundary Correct macroscopic shape, correct structure x w z y z Slipped Martensite LATTICE -INVARIANT DEFORMATION x w y
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transformation twins (Wayman)
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hexagonal close-packed
cubic close-packed
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P 1 Austenite (a) w x y z Observed shape, correct structure (b) w x z
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Brooks, Loretto and Smallman, 1979
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Equilibrium transformation
Free Energy g a ag ga x x x Carbon Concentration
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Composition invariant transformation
Free Energy g a ag ga x x x Carbon Concentration
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