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On the elastic stability of thick columns

Zur elastischen Stabilität dicker Säulen

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Summary

Stability of a rectangular strip of isotropic highly elastic incompressible material is analyzed using the theory ofGreen, Rivlin andShield. The strip is subject to a uniaxial compression in planes of plane strain. Both the asymmetric and symmetric forms of buckling are studied and the results found in full agreement with the corresponding results obtained from the theory ofBiot.

Zusammenfassung

Die Stabilität eines rechteckigen Streifens aus isotropem, elastischem inkompressiblem Material wird mittels der Methode vonGreen, Rivlin undShield untersucht. Der Streifen steht unter einachsigem Druck in Ebenen des angenommenen ebenen Verzerrungszustandes. Sowohl die asymmetrischen als auch die symmetrischen Beulformen werden studiert. Die Ergebnisse befinden sich in voller Übereinstimmung mit den entsprechenden Resultaten der Theorie vonBiot.

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References

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Authors and Affiliations

  1. University of Delaware, Newark, Delaware, USA

    J. L. Nowinski & H. Fletcher Brown (Professor in Mechanical and Aerospace Engineering)

Authors
  1. J. L. Nowinski
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  2. H. Fletcher Brown
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With 3 Figures

Research supported by a grant of the National Science Foundation.

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Nowinski, J.L., Brown, H.F. On the elastic stability of thick columns. Acta Mechanica 7, 279–286 (1969). https://doi.org/10.1007/BF01377530

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  • DOI: https://doi.org/10.1007/BF01377530

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