Problems for Helically Wound Cylinders

  • T. G. Rogers
Part of the International Centre for Mechanical Sciences book series (CISM, volume 282)


This portion of the book deals with boundary value problems involving the deformation of hollow cylinders which are continuously reinforced throughout by two families of helically wound fibres. This type of cross-ply reinforcement can be realised fairly easily in practice by winding on a drum consecutively in opposing directions, and is sometimes termed balanced angle-ply. It has practical applications in the construction of pressure vessels, pipes, shafts and axles.


Boundary Traction Fibre Load Singular Stress Axial Extension Stress Solution 
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]
    LEKHNITSKII, S.G., Theory of Elasticity of an Anisotropic Body, Holden-Day, San Francisco, 1963MATHGoogle Scholar
  2. [2]
    SPENCER, A.J.M., MOSS, R.L. and ROGERS, T.G., J. Elasticity 5 (1975) 287–296CrossRefMATHGoogle Scholar
  3. [3]
    YOUNG, R.E., Proc. 13th Annual Meeting of the Reinforced Plastics Division, The Society of the Plastics Industry, Chicago, 1958Google Scholar
  4. [4]
    MOSS, R.L., ROGERS, T.G. and SPENCER, A.J.M., J. Inst. Maths Applics 26 (1980) 21–38CrossRefMATHMathSciNetGoogle Scholar
  5. [5]
    NADAI, A., Theory of Flow and Fracture of Solids, McGraw-Hill, New York, 1950Google Scholar
  6. [6]
    ROGERS, T.G., SPENCER, A.J.M. and MOSS, R.L., Proc. 15th Int. Cong. Theor. 3 App. Mech., Toronto, 1980Google Scholar
  7. [7]
    SPENCER, A.J.M., Deformations of Fibre-Reinforced Materials, Clarendon Press, Oxford, 1972MATHGoogle Scholar
  8. [8]
    MULHERN, J.F., Quart. J. Mech. Appl. Math. 22 (1969) 97–114CrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 1984

Authors and Affiliations

  • T. G. Rogers
    • 1
  1. 1.Department of Theoretical MechanicsUniversity of NottinghamNottinghamEngland

Personalised recommendations