The Stress Field in a Cylindrically Anisotropic Body Under Two-Dimensional Surface Tractions

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


In this work, a general solution for the elastic stress field in a cylindrically anisotropic body, the hollow circular cylinder, under surface tractions which do not vary along the generator and which can be expressed in the form of a Fourier series, is presented. The form of the solution is sufficiently general to permit direct extension to an important class of composite structures, namely, laminated circular cylinders. Some of the peculiar effects of anisotropy are illustrated by the solution of a specific boundary-value problem—a circular hole in a large plate under tension.


Sandwich Plate Surface Traction Composite Cylinder Prescribe Boundary Condition Elastic Stress Field 
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.
    Lehknitskii, S. G. Theory of Elasticity of an Anisotropie Elastic Body, Holden-Day, San Francisco, 1963.Google Scholar
  2. 2.
    Sherrer, R. E., “Filament-Wound Cylinders With Axial Symmetric Loads,” Journal of Composite Materials, Vol. 1, 1967, pp. 344–355.ADSCrossRefGoogle Scholar
  3. 3.
    Shaffer, B. W., “Pressurization of Two-Layered Incompressible Orthotropic Tubes,” Journal of the Franklin Institute, Vol. 285, 1968, pp. 187–203.zbMATHCrossRefGoogle Scholar
  4. 4.
    Pagano, N. J., and Whitney, J. M., “Geometric Design of Composite Cylindrical Characterization Specimens.” Journal of Composite Materials, Vol. 4. 1970. pp. 360–378.ADSCrossRefGoogle Scholar
  5. 5.
    Rims, R. R., and Vicario, A. A., “A Finite-Element Analysis of Laminated Anisotropie Tubes (Part I—A Characterisation of the Off-Axis Tensile Specimen),” Journal of Composite.Materials, Vol. 4, 1970, pp. 344–359.ADSCrossRefGoogle Scholar
  6. 6.
    Pagano, N. J., “Stress Gradients iu Laminated Composite Cylinders,” Journal of Composite Materials, Vol. 5, 1971, pp. 260–265.ADSCrossRefGoogle Scholar
  7. 7.
    Ambartsumain, S. A., “Theory of Anisotropie Shells,” NASA Technical Translation TT F-118, 1964.Google Scholar
  8. 8.
    Gulati, S. T., and Essenburg, F., “Effects of Anisotropy in Asisyymmetrie Cylindrical Shells,” JOURNAL Or APPLIED MECHANICS, Vol. 34, No. 3, TaoNS. ASME, Vol. 89, Series E, Sept. 1967, pp. 659666.Google Scholar
  9. 9.
    Staysky, Y., and Smolash, I., “Thermoelasticity of Heterogeneous Orthotropic Cylindrical Shells,” International Journal of Solids and Structures, Vol. 6, 1970, pp. 1211–1231.CrossRefGoogle Scholar
  10. 10.
    Whitney, J. M., “On The Use of Shell Theory for Determining Stresses in Composite Cylinders,” Journal of Composite Materials, Vol. 5, 1971. pp. 340–353.ADSCrossRefGoogle Scholar
  11. 11.
    Pagano, N. J., “Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates,” Journal of Composite Materials, Vol. 4, 1970, pp. 20–34.Google Scholar
  12. 12.
    Pagano, N. J., “Influence of Shear Coupling in Cylindrical Bending of Anisotropie Laminates.” Journal of Composite Materials,Vol. 4, 1970, PP. 330–343.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

Personalised recommendations