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Crystallography H. K. D. H. Bhadeshia Introduction and point groups

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Presentation on theme: "Crystallography H. K. D. H. Bhadeshia Introduction and point groups"— Presentation transcript:

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 Correspondence, stretch and rotation

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4 Correspondence

5 pure strain matrix symmetrical referred to principal axes principal axes are unrotated volume change = determinant of (A S A) =

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8 Square root of diagonal matrix

9 Square root of symmetrical matrix?

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12 stretch and rotation

13 s pure rotation z3 z1

14 hexagonal close-packed
cubic close-packed

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