Assessing the use of tensor closure methods with orientation distribution reconstruction functions

Journal of Composite Materials

Volumn 38, Issue 21, 2004, Pages 1851-1871

  Jack, David A ^a   Smith, Douglas E ^a  

^a University of Missouri   (United States)

Author keywords

Computer simulation; Fiber reinforced materials; Fourier transforms; Orientation tensor; Short fiber composite; Stiffness matrix

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; ERROR ANALYSIS; FIBER REINFORCED PLASTICS; FOURIER TRANSFORMS; FUNCTIONS; INJECTION MOLDING; STIFFNESS MATRIX;

DISTRIBUTION FUNCTIONS; ORIENTATION TENSORS; SHORT-FIBER COMPOSITES; TRUNCATION ERRORS;

TENSORS;

EID: 9144228905     PISSN: 00219983     EISSN: None     Source Type: Journal    
DOI: 10.1177/0021998304048413     Document Type: Conference Paper

References (27)

1. Folgar, F.P. and Tucker, C.L. (1984). Orientation Behavior of Fibers in Concentrated Suspensions, Journal of Reinforced Plastics and Composites, 3: 98-119.
2. Advani, S.G. and Tucker, C.L. (1987). The Use of Tensors to Describe and Predict Fiber Orientation in Short Fiber Composites, Journal of Rheology, 31(8): 751-784.
3. Altan, M.C., Subbiah, S., Guceri, S.I. and Pipes, R.B. (1990). Numerical Prediction of Three-Dimensional Fiber Orientation in Hele-Shaw Flows, Polymer Engineering and Science, 30(14): 848-859.
4. Verleye, V. and Dupret, F. (1993). Prediction of Fiber Orientation in Complex Injection Molded Parts, Developments in Non-Newtonian Flows, pp. 139-163.
5. Cintra, J.S. and Tucker, C.L. (1995). Orthotropic Closure Approximations for Flow-Induced Fiber Orientation, Journal of Rheology, 39(6): 1095-1122.
6. Chung, D.H. and Kwon, T.H. (2001). Improved Model of Orthotropic Closure Approximation for Flow Induced Fiber Orientation, Polymer Composites, 22(5): 636-649.
7. Jack, D.A. (2003). Investigating the Use of Tensors in Numerical Predictions for Short-Fiber Reinforced Polymer Composites, Master's Thesis, University of Missouri - Columbia.
8. VerWeyst, B.E., Tucker, C.L., Foss, P.H. and O'Gara, J.F. (1999). Fiber Orientation in 3-D Injection Molded Features: Prediction and Experiment, International Polymer Processing, 14: 409-420.
9. Han, K.-H. and Im, Y.-T. (2002). Numerical Simulation of Three-Dimensional Fiber Orientation in Short-Fiber-Reinforced Injection-Molded Parts, Journal of Materials Processing Technology, 124: 366-371.
10. Bay, R.S. and Tucker, C.L. (1991). Fiber Orientation in Simple Injection Moldings: Part 1 - Theory and Numerical Methods, In: Plastics and Plastic Composites: Material Properties, Part Performance, and Process Simulation, 29: 445-471.
11. Tucker, C.L. and Advani, S.G. (1994). Processing of Short-Fiber Systems, In: Advani, S.G. (ed.), Flow and Rheology in Polymer Composites Manufacturing, pp. 147-202. Elsevier Science, Amsterdam, The Netherlands.
12. Tucker, C.L., VerWeyst, B.E. and Wetzel, E.D. (1998). Modelling Flow Induced Microstructure in Polymer Blends and Composites, In: Simulation of Materials Processing: Theory, Methods and Applications, pp. 11-20, Balkema, Rotterdam.
13. Chung, D.H. and Kwon, T.H. (2002). Invariant-Based Optimal Fitting Closure Approximation for the Numerical Prediction of Flow-Induced Fiber Orientation, Journal of Rheology, 46(1): 169-194.
14. Hand, G.L. (1962). A Theory of Anisotropic Fluids, Journal of Fluid Mechanics, 13(1): 33-46.
15. Doi, M. (1981). Molecular Dynamics and Rheological Properties of Concentrated Solutions of Rodlike Polymers in Isotropic and Liquid Crystalline Phases, Journal of Polymer Science Part B Polymer Physics, 19: 229-243.
16. Lipscomb, G.G., Denn, M.M., Hur, D.U. and Boger, D.V. (1988). The Flow of Fiber Suspensions in Complex Geometries, Journal of Non-Newtonian Fluid Mechanics, 26: 297-325.
17. Yang, W.-H., Hsu, D.C. and Yang, V. (2003). Computer Simulation of 3D Short Fiber Orientation in Injection Molding, In: ANTEC 2003 - Proceedings of the 61st Annual Technical Conference and Exhibition, Vol. 49, pp. 651-655.
18. Haag, R. (2003). Optimization of the Warpage of Fiber Reinforced Thermoplastics by Influencing the Fiber Orientation, In: ANTEC 2003 - Proceedings of the 61st Annual Technical Conference and Exhibition, Vol. 49, pp. 661-664.
19. Dupret, F., Verleye, V. and Languillier, B. (1997). Numerical Prediction of the Molding of Composite Parts, In: Rheology and Fluid Mechanics of Nonlinear Materials, pp. 79-90.
20. Jack, D.A. and Smith, D.E. (2003). Assessing the Use of Lower Ordered Tensors in Numerical Predictions of Flow-Induced Fiber Orientation, In: ANTEC 2003 - Proceedings of the 61st Annual Technical Conference and Exhibition, Vol. 49, pp. 2183-2187.
21. Onat, E.T. (1982). Representation of Inelastic Behavior in the Presence of Anisotropy and of Finite Deformations, In: Wilshire, B. and Owen, D.R.J. (eds), Recent Advances in Creep and Fracture of Engineering Materials and Structures, pp. 231-264. Pineridge Press Limited, West Cross, Swansea, UK.
22. Onat, E.T. and Leckie, F.A. (1988). Representation of Mechanical Behavior in the Presence of Changing Internal Structure, Journal of Applied Mechanics, 55: 1-10.
23. Ranganathan, S. and Advani, S.G. (1993). A Simultaneous Solution for Flow and Fiber Orientation in Axisymmetric Diverging Radial Flow, Jn. of Non-Newtonian Fluid Mechanics, 47: 107-136.
24. Jeffery, G.B. (1923). The Motion of Ellipsoidal Particles Immersed in a Viscous Fluid, In: Proceedings of the Royal Society of London A, Vol. 102, pp. 161-179.
25. Wetzel, E.D. (1999). Modeling Flow-Induced Microstructure of Inhomogeneous Liquid-Liquid Mixtures, PhD Thesis, University of Illinois at Urbana Champaign.
26. Bay, R.S. (1991). Fiber Orientation in Injection Molded Composites: A Comparison of Theory and Experiment, PhD Thesis, University of Illinois at Urbana-Champaign.
27. Jack, D.A. and Smith, D.E. (2003). Assessing the Use of Tensor Closure Methods with Orientation Distribution Reconstruction Functions, In: Proceedings of ASME IMECE'03, Washington, D.C.