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A model for plane elastica with simple shear deformation pattern

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Summary

Several existing theories of elastic rods that take into account shear effects are classified. Then, a new model for the influence of shearing force, based on simple shear of finite amount, is proposed. The properties of the model are examined on the stability problem for a heavy elastic rod. It is shown that the rod may exhibit sub- and super-critical bifurcation patterns at the trivial equilibrium configuration. A comparison is made between the results for the critical load of the rod predicted by the new and the three different existing models.

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Author notes

  1. T. M. Atanackovic & D. T. Spasic

    Present address: Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica 6, Novi Sad, Serbia

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    1. T. M. Atanackovic
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    2. D. T. Spasic
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    Atanackovic, T.M., Spasic, D.T. A model for plane elastica with simple shear deformation pattern. Acta Mechanica 104, 241–253 (1994). https://doi.org/10.1007/BF01170067

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    • DOI: https://doi.org/10.1007/BF01170067

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