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Introduction and point groups Stereographic projections Low symmetry systems Space groups

Crystallography. H. K. D. H. Bhadeshia. Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships Homogeneous deformations Slip, twinning and invariant-plane strains. v. u. v. A. u. B.

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Introduction and point groups Stereographic projections Low symmetry systems Space groups

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  1. Crystallography H. K. D. H. Bhadeshia Introduction and point groups Stereographic projections Low symmetry systems Space groups Deformation and texture Interfaces, orientation relationships Homogeneous deformations Slip, twinning and invariant-plane strains

  2. v u v A u B Similarity transformation

  3. homogeneous deformation leaves points originally in a line, colinear, and lines originally in a plane, coplanar

  4. similarity transformation

  5. general invariant-plane strain simple shear uniaxial dilatation s s d d 1 1 1 s=0.26 d=0.03

  6. stretch and rotation

  7. Refinement of austenite grain size • repeated recrystallisation • pancaking • Refinement of ferrite grain size • nucleation and growth

  8. Smallest size possible in steel ?

  9. Yokota & Bhadeshia, 2004

  10. Pancaking

  11. courtesy Rongshan Qin, GIFT, POSTECH Singh & Bhadeshia, 1998

  12. v = Su u v

  13. Cross Rolling second pass rotate 90° x first pass y y x

  14. courtesy of Rongshan Qin

  15. Chae, Qin, ISIJ International 49 (2009) 115

  16. TWIP steel

  17. B. Qin, MST 28 (2008) 969

  18. correspondence matrix

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