A numerical analysis including flow, heat transfer and residual stress is developed to simulate the deep drawing process of composite laminates with woven fabric microstructures. The governing equations and material properties of thermoplastic composites at the forming temperature are obtained by the homogenization method based on the assumption of instantaneously rigid solid fibers suspended in a viscous non-Newtonian polymer melt. The processing rheology of the composites is characterized by a power-law constitutive model for this anisotropic, non-isothermal and shear thinning fluid. To simulate the thermoforming and cooling stages of the entire forming process, the three-dimensional finite element method incorporating a fiber orientation model of woven-fabric microstructures is developed. This global-local numerical methodology is capable of predicting macroscopic and microscopic deformation mechanics during the thermoforming process. As an illustration, a comparison between the fiber orientation prediction and experimental data for a deep drawn cup is presented.

Issue Section:
Technical Papers
Topics:
Laminates, Numerical analysis, Thermoplastic composites, Fibers, Composite materials, Textiles, Anisotropy, Constitutive equations, Cooling, Deformation, Finite element methods, Flow (Dynamics), Fluids, Heat transfer, Materials properties, Polymer melts, Rheology, Shear (Mechanics), Stress, Temperature
1.
Beaussart, A. J., Pipes, R. B., and Okine, R. K., 1992, “Numerical Modeling of Sheet Forming Processes for Thermoplastic Composites,” Computer Aided Design in Composite Material Technology III, pp. 3–19.
2.
Cogswell, F. N., 1992, Thermoplastic Aromatic Polymer Composites, Butterworth-Heinemann.
3.
Hsiao, S.-W., 1997, Numerical Analysis and Optimal Design of Composite Thermoforming Process, Ph.D. dissertation, University of Michigan, Ann Arbor.
4.
Levy
T.
and
Sanchez-Palencia
E.
,
1983
, “
Suspension of Solid Particles in a Newtonian Fluid
,”
J. Non-Newt. Fluid Mech.
, Vol.
13
, pp.
63
–
78
.
5.
Nakazawa
S.
,
Pittman
J. F. T.
and
Zienkiewicz
O. C.
,
1982
, “
Numerical Solution of Flow and Heat Transfer in Polymer Melts
,”
Finite Elements in Fluids
, Vol.
4
, pp.
251
–
283
.
6.
O’Bradaigh
CM.
,
McGuinness
G. B.
and
Pipes
R. B.
,
1993
, “
Numerical Analysis of Stresses and Deformations in Composite Materials Sheet Forming: Central Indentation of a Circular Sheet
,”
Composites Manufacturing
, Vol.
4
, pp.
67
–
83
.
7.
Onate
E.
and
Zienkiewicz
O. C.
,
1983
, “
A Viscous Shell Formulation for the Analysis of Thin Sheet Metal Forming
,”
Int. J. Mech. Sci.
, Vol.
25
, pp.
305
–
335
.
8.
Potter
K. D.
,
1979
, “
The Influence of Accurate Stretch Data for Reinforcements on the Production of Complex Structural Moldings Part 1. Deformation of Aligned Sheets and Fabrics
,”
Composites
, Vol.
10
, pp.
161
–
167
.
9.
Robertson
R. E.
,
Hsiue
E. S.
and
Yeh
G. S. Y.
,
1984
, “
Continuous Fiber Rearrangements during the Molding of Fiber Composites. II. Flat Cloth to a Rounded Cone
,”
Polym. Composites
, Vol.
5
pp.
191
–
197
.
10.
Rogers
T. G.
,
1989
, “
Rheological Characterization of Anisotropic Materials
,”
Composites
, Vol.
20
, pp.
21
–
27
.
11.
Sanchez-Palencia, E., 1980, Non-homogeneous Media and Vibration Theory, Lecture Notes in Physics No. 127, Springer, Berlin.
12.
Yoshii, A., 1994, Private communication, Sumitomo Heavy Industries, Ltd. of Japan.
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