Folgar, 1984, Orientation behavior of fibers in concentrated suspensions, J Reinf Plast Compos, 3, 98, 10.1177/073168448400300201
Advani, 1987, The use of tensors to describe and predict fiber orientation in short fiber composites, J Rheol, 31, 751, 10.1122/1.549945
Bay R. Fiber orientation in injection molded composites: a comparison of theory and experiment. Ph.D. thesis, University of Illinois at Urbana-Champaign; August 1991.
Cintra, 1995, Orthotropic closure approximations for flow-induced fiber orientation, J Rheol, 39, 1095, 10.1122/1.550630
Koch, 1995, A model for orientational diffusion in fiber suspensions, Phys Fluids, 7, 2086, 10.1063/1.868455
Phelps, 2009, An anisotropic rotary diffusion model for fiber orientation in short- and long fiber thermoplastics, J Non-Newtonian Fluid Mech, 156, 165, 10.1016/j.jnnfm.2008.08.002
Jeffery, 1923, The motion of ellipsoidal particles immersed in a viscous fluid, Proc Roy Soc London A, 102, 161, 10.1098/rspa.1922.0078
Advani S. Prediction of fiber orientation during processing of short fiber composites. Ph.D. thesis, University of Illinois at Urbana-Champaign; August 1987.
Jack, 2005, An invariant based fitted closure of the sixth-order orientation tensor for modeling short-fiber suspensions, J Rheol, 49, 1091, 10.1122/1.2000970
Qadir, 2009, Modeling fibre orientation in short fibre suspensions using the neural network-based orthotropic closure, Composites Part A, 40, 1524, 10.1016/j.compositesa.2009.06.010
Agboola B. Investigation of dense suspension rotary diffusion models for fiber orientation predictions during injection molding of short-fiber reinforced polymeric composites. Master’s thesis, Baylor University; August 2011.
Montgomery-Smith, 2010, A systematic approach to obtaining numerical solutions of Jeffery’s type equations using spherical harmonics, Composites Part A, 41, 827, 10.1016/j.compositesa.2010.02.010
Doi, 1981, Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases, J Polym Sci Part B Polym Phys, 19, 229, 10.1002/pol.1981.180190205
Hand, 1962, A theory of anisotropic fluids, J Fluid Mech, 13, 33, 10.1017/S0022112062000476
Verleye V, Dupret F. Prediction of fiber orientation in complex injection molded parts. In: Developments in non-newtonian flows; 1993. p. 139–63.
Jack, 2010, Neural network based closure for modeling short-fiber suspensions, Polym Compos, 31, 1125
Montgomery-Smith, 2011, Exact tensor closures for the three dimensional Jeffery’s equation, J Fluid Mech, 680, 321, 10.1017/jfm.2011.165
Montgomery-Smith, 2011, The fast exact closure for Jeffery’s equation with diffusion, J Non-Newtonian Fluid Mech, 166, 343, 10.1016/j.jnnfm.2010.12.010
VerWeyst, 2002, Fiber suspensions in complex geometries: flow-orientation coupling, Can J Chem Eng, 80, 1093, 10.1002/cjce.5450800611
Wang, 2008, An objective model for slow orientation kinetics in concentrated fiber suspensions: theory and rheological evidence, J Rheol, 52, 1179, 10.1122/1.2946437
Dinh, 1984, A rheological equation of state for semiconcentrated fiber suspensions, J Rheol, 28, 207, 10.1122/1.549748
Lipscomb, 1988, Flow of fiber suspensions in complex geometries, J Non-Newtonian Fluid Mech, 26, 297, 10.1016/0377-0257(88)80023-5
Chung, 2002, Numerical studies of fiber suspensions in an axisymmetric radial diverging flow: the effects of modeling and numerical assumptions, J Non-Newtonian Fluid Mech, 107, 67, 10.1016/S0377-0257(02)00142-8
Eberle, 2010, Fiber orientation kinetics of a concentrated short glass fiber suspension in startup of simple shear flow, J Non-Newtonian Fluid Mech, 165, 110, 10.1016/j.jnnfm.2009.10.003
Jack, 2008, Elastic properties of short-fiber polymer composites, derivation and demonstration of analytical forms for expectation and variance from orientation tensors, J Compos Mater, 42, 277, 10.1177/0021998307086388
Caselman E. Elastic property prediction of short fiber composites using a uniform mesh finite element method. Master’s thesis, University of Missouri-Columbia; December 2007.
Gusev, 2002, Orientation averaging for stiffness and thermal expansion of short fiber composites, Adv Eng Mater, 4, 931, 10.1002/adem.200290008
Gusev, 2002, Stiffness and thermal expansion of short fiber composites with fully aligned fibers, Adv Eng Mater, 4, 927, 10.1002/adem.200290007
Nguyen, 2009, Prediction of the elastic–plastic stress/strain response for injection-molded long-fiber thermoplastics, J Compos Mater, 43, 217, 10.1177/0021998308099219
Bird, 1987, Dynamics of polymeric liquids, vol. 2
Zhang, 2011, Numerical evaluation of single fiber motion for short-fiber-reinforced composite materials processing, J Manuf Sci Eng, 133, 051002, 10.1115/1.4004831
Jack D. Advanced analysis of short-fiber polymer composite material behavior. Ph.D. thesis, University of Missouri-Columbia; December 2006.
Fan, 1998, A direct simulation of fibre suspensions, J Non-Newtonian Fluid Mech, 74, 113, 10.1016/S0377-0257(97)00050-5
Phan-Thien, 2002, Folgar–Tucker constant for a fibre suspension in a Newtonian fluid, J Non-Newtonian Fluid Mech, 103, 251, 10.1016/S0377-0257(02)00006-X
Advani, 1990, Closure approximations for three-dimensional structure tensors, J Rheol, 34, 367, 10.1122/1.550133
Han, 2002, Numerical simulation of three-dimensional fiber orientation in short-fiber-reinforced injection-molded parts, J Mater Process Technol, 124, 366, 10.1016/S0924-0136(02)00255-8
Chung, 2001, Improved model of orthotropic closure approximation for flow induced fiber orientation, Polym Compos, 22, 636, 10.1002/pc.10566
Chung, 2002, Invariant-based optimal fitting closure approximation for the numerical prediction of flow-induced fiber orientation, J Rheol, 46, 169, 10.1122/1.1423312
Dray, 2007, Comparison of several closure approximations for evaluating the thermoelastic properties of an injection molded short-fiber composite, Compos Sci Technol, 67, 1601, 10.1016/j.compscitech.2006.07.008
Gusev, 2000, Packing and elastic properties of a transversely random unidirectional glass/epoxy composite, Compos Sci Technol, 60, 535, 10.1016/S0266-3538(99)00152-9
Tucker, 1999, Stiffness predictions for unidirectional short-fiber composites: review and evaluation, Compos Sci Technol, 59, 655, 10.1016/S0266-3538(98)00120-1
Tandon, 1984, The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites, Polym Compos, 5, 327, 10.1002/pc.750050413
Jones, 1999
Bay, 1991, Fiber orientation in simple injection moldings: part 1 – theory and numerical methods, vol. 29, 445
Ishak, 2009, Power-law fluid flow on a moving wall, Eur J Sci Res, 34, 55
Reddy, 2006
ASM Handbook: mechanical testing and evaluation, vol. 8. England: ASM International West Sussex; 2000.