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Bifurcation of a solid circular elastic cylinder under finite extension and torsion

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The problem of bifurcation of a solid circular cylinder subjected to finite extension and torsion is investigated using the theory of small deformations superposed on large elastic deformations. The material of the cylinder is assumed to be isotropic, elastic, homogeneous and incompressible. A numerical scheme is adopted to solve the system of partial differential equations and the associated boundary conditions governing the problem for a class of strain-energy functions. The numerical results obtained determined the critical twist corresponding to a given extension of the cylinder.

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Author notes

  1. E. D. Duka

    Present address: Physics and Mechanics Division, School of Technology, The Aristotle University of Thessaloniki, 54006, Thessaloniki, Greece

  2. A. H. England & A. J. M. Spencer

    Present address: Department of Theoretical Mechanics, The University, University Park, N97 2RD, Nottingham, UK

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    1. E. D. Duka
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    2. A. H. England
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    3. A. J. M. Spencer
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    Duka, E.D., England, A.H. & Spencer, A.J.M. Bifurcation of a solid circular elastic cylinder under finite extension and torsion. Acta Mechanica 98, 107–121 (1993). https://doi.org/10.1007/BF01174297

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    • DOI: https://doi.org/10.1007/BF01174297

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