Orientation distribution functions for microstructures of heterogeneous materials (I) — Directional distribution functions and irreducible tensors

2001 ◽  
Vol 22 (8) ◽  
pp. 865-884
Author(s):  
Zheng Quan-shui ◽  
Zou Wen-nan
Keyword(s):  
Heterogeneous Materials ◽  
Orientation Distribution ◽  
Distribution Functions ◽  
Directional Distribution ◽  
Irreducible Tensors ◽  
Orientation Distribution Functions

Characterizing microcrack orientation distribution functions in osteonal bone samples

2016 ◽  
Vol 264 (3) ◽  
pp. 268-281 ◽  
Author(s):  
U. WOLFRAM ◽  
J.J. SCHWIEDRZIK ◽  
M.J. MIRZAALI ◽  
A. BÜRKI ◽  
P. VARGA ◽  
...  
Keyword(s):  
Orientation Distribution ◽  
Distribution Functions ◽  
Orientation Distribution Functions ◽  
Osteonal Bone

Multi-directional anisotropy from diffusion orientation distribution functions

2014 ◽  
Vol 41 (3) ◽  
pp. 841-850 ◽  
Author(s):  
Ek T. Tan ◽  
Luca Marinelli ◽  
Jonathan I. Sperl ◽  
Marion I. Menzel ◽  
Christopher J. Hardy
Keyword(s):  
Orientation Distribution ◽  
Distribution Functions ◽  
Directional Anisotropy ◽  
Orientation Distribution Functions

Texture Evolution in Rolled Mg-13wt%Li-X Alloy

2007 ◽  
Vol 546-549 ◽  
pp. 347-350 ◽  
Author(s):  
Li Li ◽  
Tie Tao Zhou ◽  
Huan Xi Li ◽  
Chang Qi Chen ◽  
Qiu Lin Wu ◽  
...  
Keyword(s):  
Texture Evolution ◽  
Orientation Distribution ◽  
Fiber Texture ◽  
Distribution Functions ◽  
Thickness Reduction ◽  
Rolled Sheet ◽  
Pole Figures ◽  
Cold Rolled ◽  
Orientation Distribution Functions

Texture evolution in Mg-13wt%Li-X alloy cold-rolled from 1.35 mm to 0.34 mm thickness was investigated, by obtaining pole figures and orientation distribution functions (ODFs). Punching tests were conducted to reveal the effect of texture nature on formability. It was found that: (1) the textures of the as-received sheet are characterized by α fiber texture, a γ fiber texture and a cubic texture in both cold-rolled and annealed conditions; (2) with thickness reduction though rolling, the intensity of the γ fiber texture continuously increases and finally the γ fiber texture connects into {111} tube texture, the texture of <11 0> orientation flows towards {223}<11 0> along α fiber, the cubic texture of {001}<100> turns into {035}<100>, while some grains concentrate at {011}<41 1> orientation; (3) good punching behavior of the cold-rolled sheet corresponds to the appearance of a well-developed γ fiber texture.

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