Polycrystalline Texture

Analogy to Liquid Crystals?

Polycrystal

Nematic Liquid

Crystal

Liquid Crystal Order Parameter

• Local distribution of orientations r(q,f)

• Expand in spherical harmonics

• Keep lowest non-zero term

Texture Order Parameter?

• Local distribution of orientations r(q,f,y)

• Hyper-spherical harmonics

• Lowest non-zero term l=4

• Write theory for texture evolution, effect on plastic deformation, gain glory…

OP

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