Data processing: measuring – calibrating – or testing – Measurement system – Orientation or position
Reexamination Certificate
2007-09-04
2007-09-04
Wachsman, Hal (Department: 2863)
Data processing: measuring, calibrating, or testing
Measurement system
Orientation or position
C434S300000, C700S204000, C425S003000, C425S432000, C425S456000, C425S522000, C425S542000, C361S225000, C073S38200R, C073S504130, C073S061630
Reexamination Certificate
active
11442560
ABSTRACT:
A method and an article of manufacture for determining a rate of change of orientation of a plurality of fibers disposed in a fluid are provided. The method includes determining a first tensor indicative of the rate of change of orientation of the plurality of fibers in the fluid in a predetermined region due to rigid body rotation of the plurality of fibers and the fluid. The method further includes determining a second tensor indicative of the rate of change or orientation of the plurality of fibers in the fluid in the predetermined region due to deformation of the plurality of fibers and the fluid in the predetermined region, utilizing a first scalar value that reduces the rate of change of orientation of the plurality of fibers due to deformation of the plurality of fibers and the fluid. The method further includes determining a third tensor indicative of a total rate of change of orientation of the plurality of fibers based on the first and second tensors, wherein the third tensor is an objective tensor.
REFERENCES:
Advani et al., The Use of Tensors to Describe and Predict Fiber Orinetation in Short Fiber Composites, 1987, john Wiley and Sons, Inc.
S.G. Advani and C.L. Tucker, III, The Use of Tensors to Describe and Predict Fiber Orientation in Short Fiber Composites J. Rheol., 31:751-784, 1987.
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H.M. Huynh, Improved Fiber Orientation Predictions for Injection-Molded Composites, Master's Thesis, University of Illinois at Urbana-Champaign, 2001.
G.B. Jeffery, The Motion of Elipsoidal Particles Immersed in a Viscous Fluid, Proc. Roy. Soc., A102:161-179, 1922.
C.L. Tucker, III and S.G. Advani, Processing of Short-FIber Systems, In S.G. Advani, editor, Flow and Rheology In Polymer Composites Manufacturing, pp. 147-202, Elsevier, Amsterdam, 1994.
B.E. VeWeyst, Numerical Predictions of Flow-Induced Fiber Orientation in 3-D Geometrics, PhD thesis, University of Illinois at Urbana-Champaign, Urbana, IL 1998.
O'Gara John F.
Tucker, III Charles L.
Wang Jin
Delphi Technologies Inc.
Kundu Sujoy
Wachsman Hal
Wood David P.
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