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Elastic stability of thick circular plates under three-dimensional states of stress

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Summary

The stability of three-dimensional thick circular elastic plates subjected to outside forces and displacements is analysed. The problems are investigated using the equilibrium method. The stability criterion is obtained from the condition of the existence of a non-zero perturbation from the buckled state. Discussing the obtained criteria, it is found that the critical forces in the plane of the plate are affected in a completely different manner by a constant-directional lateral compression field and by a uniform lateral hydrostatic pressure.

Zusammenfassung

Die Stabilität dicker, elastischer Kreisplatten unter äußeren Lasten und Verschiebungen wird mittels der Gleichgewichtsmethode untersucht. Das Stabilitätskriterium ergibt sich aus der Existenz einer im ausgebeulten Zustand möglichen, von Null verschiedenen Störung. Die Diskussion der erhaltenen Kriterien zeigt, daß die kritischen Lasten durch eine richtungskonstante seitliche Kompression und durch einen konstanten hydrostatischen Druck in vollkommen verschiedener Weise beeinflußt werden.

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References

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Authors and Affiliations

  1. Structures D|55|23, Lockheed Missiles and Space Company, Sunnyvale, California, USA

    S. Tang

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  1. S. Tang
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Additional information

The results of the present paper were obtained in the course of research conducted under NASA Grand NSG-420, and constitute part of a dissertation submitted to the New York University, New York 53, NY.

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Tang, S. Elastic stability of thick circular plates under three-dimensional states of stress. Acta Mechanica 4, 382–397 (1967). https://doi.org/10.1007/BF01591580

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  • DOI: https://doi.org/10.1007/BF01591580

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