Stress Gradients in Laminated Composite Cylinders

  • N. J. Pagano
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 34)


In a recent paper [1], (see also [2]) it was shown that extremely severe stress gradients can exist in the wall of a unidirectional, helical-wound cylinder under the common loadings applied in the laboratory, i.e., axial loading, internal pressurization, and torsion. In that study it was found that the stress gradients were drastically reduced in an orthotropic, symmetric laminated cylinder, such as an angle-ply. In fact, for the case of torsion, the shear stress distribution almost coincides with that which occurs in an isotropic cylinder. While an analogous smoothing of the stress field occurs under other loadings, the axial normal stress under axial loading and the hoop stress under internal pressure are somewhat different from the respective isotropic results. For example, refer to Figure 12 in [1]. In order to complete the treatment of the geometric design of tubular characterization specimens, the remaining stress components, e.g., the hoop and shear stresses induced in the axial loading experiment, should be considered. It is therefore the purpose of this note to present some results in this regard for laminated cylinders.


Stress Gradient Hoop Stress Shear Stress Distribution Lamination Theory Axial Normal Stress 
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  1. 1.
    N. J. Pagano and J. M. Whitney, “Geometric Design of Composite Cylindrical Characterization Specimens,” J. Composite Materials, Vol. 4 (1970), p. 380.ADSCrossRefGoogle Scholar
  2. 2.
    R. R. Rizzo and A. A. Vicario, “A Finite Element Analysis of Laminated Anisotropie Tubes (Part I—A Characterization of the Off-Axis Tensile Specimen),” J. Composite Materials, Vol. 4 (1970), p. 344.ADSCrossRefGoogle Scholar
  3. 3.
    Y. Staysky, “Bending and Stretching of Laminated Aeolotropic Plates,” Proc. Am. Soc. Civil Engrs.; J. Engr. Mech. Div., Vol. 87 (1961), p. 31.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • N. J. Pagano
    • 1
  1. 1.Nonmetallic Materials Division, Air Force Materials LaboratoryWright-Patterson AFBUSA

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