Lamination Theory of Composite Material with Complex Fiber Orientation Distribution

  • Zen-ichiro Maekawa
  • Hiroyuki Hamada
  • Atsushi Yokoyama


A generalized laminated theory is developed to estimate the mechanical behaviors of polymeric composites with complicated fiber orientation states. This theory is intended for application to molded products in which the complicated flow of the fibers occurs during the molding process. We propose a new method which indicates various fiber oriented states by use of an incomplete beta function. Next, a generalized laminated plate theory is presented to analyze the stress-strain relations for fiber composites with complex orientation distribution. The effects of fiber orientation distribution on elastic moduli of these composites are discussed. Finally, the deformation behaviors of molded plates can be estimated by connecting this lamination theory to a finite element method. The numerical results on the deformation under uniaxial loading are shown for composite plates with typical orientation states.


Deformation Behavior Fiber Orientation Fiber Composite Composite Plate Weld Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Berthelot, J. M., Moulding influence on the mechanical properties of sheet moulding compounds: Part I—Elastic properties. Fib. Sci. Technol., 17 (1982) 235–44.CrossRefGoogle Scholar
  2. 2.
    Maekawa, Z. and Fujii, T., Probabilistic design of strength of fiber reinforced composite laminates. Proc. ICCM—V (1982) 537–40.Google Scholar
  3. 3.
    Lee, C. C, Folgar, F and Tucker, C. L. III, Simulation of compression molding for fiber reinforced thermosetting polymers. ASME Trans., J. Engng Ind., 106 (1984) 106–25.Google Scholar
  4. 4.
    Suresh, G. A. and Tucker, C. L. III, The use of tensors to describe and predict fiber orientation in short fiber composites. J. Rheol., 31 (1987) 751–84.CrossRefGoogle Scholar
  5. 5.
    Hamada, H., Maekawa, Z., Horino, T. and Lee, K., Improvement of weld line strength in injection molded FRTP articles. J. Int. Polym. Proc., II (1988) 131–6.Google Scholar
  6. 6.
    Jacques, M. S., An analysis of thermal warpage in injection molded flat parts due to unbalanced cooling. Polym. Engng Sci., 22 (1982) 241–7.CrossRefGoogle Scholar
  7. 7.
    Hirai, T., Design concept of SMC compression molding to prevent a fault caused by flow state. Proc. ICCM—V & ECCM—II (1987) 1.121 1.130.Google Scholar
  8. 8.
    Kim, S. G. and Suh, N. P., Performance prediction of weld line structure in amorphous polymers. Polym. Engng Sci., 26 (1986) 1200–7.CrossRefGoogle Scholar
  9. 9.
    Agarwal, B. D. and Broutman, L. J., Analysis and Performance of Fiber Composites. John Wiley, New York, 1979.Google Scholar
  10. 10.
    Pandya, B. N. and Kant, T., Finite element analysis of laminated composite plates using a higher-order displacement model. Comp. Sci. Technol., 32 (1988) 137–55.CrossRefGoogle Scholar

Copyright information

© Elsevier Science Publishers Ltd 1989

Authors and Affiliations

  • Zen-ichiro Maekawa
    • 1
  • Hiroyuki Hamada
    • 1
  • Atsushi Yokoyama
    • 1
  1. 1.Faculty of Textile ScienceKyoto Institute of TechnologyKyotoJapan

Personalised recommendations