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On the Solution of Fiber Orientation in Two-dimensional Homogeneous Flows by Sameer Akbar; M. Cengiz Altan is a Materials Science article available to read on EtoBox.

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## Abstract This work presents an analytical technique to describe the orientation behavior of short fibers in arbitrary two‐dimensional homogeneous flows. It is shown that the fiber orientation, specified by a unit vector, can be analytically calculated at any instant using any initial orientation and flow kinematics. The rotation of a fiber with the bulk fluid deformation is expressed in terms of orientation vector components by utilizing an equivalent strain tensor calculated from the fluid kinematics. This technique is then used to evaluate the orientation behavior of a large number of fibers starting from different initial orientations, representing an orientation state. The orientation distribution function is generated statistically by considering the frequency distribution curve of the orientation of the large number of fibers. It is shown that using a combination of analytical solutions and statistical methods provides a convenient description of fiber orientation behavior. The accuracy of the generated orientation distribution function is found to be dependent on the number of fibers used in the analytical solution. The statistical orientation distribution function is com

Who reads On the Solution of Fiber Orientation in Two-dimensional Homogeneous Flows?

Author

Sameer Akbar; M. Cengiz Altan

Publisher

Society for Plastic Engineers; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0032-3888)

Published

1992

Language

EN

Field

Materials Science (Physical Sciences)