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

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Presentation transcript:

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

Correspondence

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

Square root of diagonal matrix

Square root of symmetrical matrix?

stretch and rotation

s pure rotation z3 z1

hexagonal close-packed cubic close-packed