1. How would you describe the orientation of the fibers?

This section presents the mathematical tools traditionally used to describe the orientation state of fibers. After discussing the description of an isolated fiber, statistical distributions for groups of fibers will be addressed. Two options are available to us: the orientation distribution function and orientation tensors. The concept of tensorial description allows us to predict fiber orientation and present experimental data, and therefore plays a major role in the rest of this document.

1.1 Single fiber

A fiber, assumed to be rigid, is generally modeled by a cylinder with a circular cross-section of constant diameter D _f and length L _f , and its orientation is marked...

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How would you describe the orientation of the fibers?

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Bibliography

(1) - ADVANI (S.G.), TUCKER (C.L.) - The use of tensors to describe and predict fiber orientation in short fiber composites. - In : Journal of Rheology, 31.8, p. 751-784. DOI : 10.1122/1.549945 (1987).
(2) - ALTAN (M.C.) et al - Numerical prediction of...

Patents

TUCKER, III CHARLES L.; WANG JIN; O'GARA JOHN F. – Method and article of manufacture for determining a rate of change of orientation of a plurality of fibers disposed in a fluid, US7266469B1·, September 4, 2007.

TSENG HUAN CHANG; CHANG RONG YEU; HSU CHIA HSIANG – Method and computer readable media for determining orientation of fibers in a fluid, US2012330627A1·2012-12-27.

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