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St. Venant torsion of composite cylinders

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Abstract

Using a method first applied to some fluid dynamical two-phase flow problems [1], the authors derive expressions for the warping and stress functions describing the St. Venant torsion of some compound cylinders. The construction of the cylinder must have appropriate symmetries, and composites containing both two and four different elastic phases are considered. Effective shear moduli and torsional rigidities are defined, and some tables of numerical values given for various configurations. An analogous solution for the antiplane strain of a two-phase composite is also given.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Surrey, Guildford, Surrey, U.K.

    B. A. Packham & R. Shail

Authors
  1. B. A. Packham
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  2. R. Shail
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Packham, B.A., Shail, R. St. Venant torsion of composite cylinders. J Elasticity 8, 393–407 (1978). https://doi.org/10.1007/BF00049189

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  • DOI: https://doi.org/10.1007/BF00049189

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