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Stability Conditions of Rigid-plastic Solids with Extension to Visco-plasticity

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Instability of Continuous Systems

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Summary

Drucker’s postulate for stability in the small of a rigid-plastic solid is extended to take geometry effects into consideration. The result is compared with Hill’s condition for stability and the two approaches are found compatible. Application of the postulate to a certain class of visco-plastic material is suggested.

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References

  1. Yamada, Y., Aoki, I.: Int. J. Mech. Sci. 8, 665 (1966).

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  2. Storakers, B.: Int. J. Mech. Sci. 10, 519 (1968).

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  3. Hill, R.: J. Mech. Phys. Solids 5, 153 (1957).

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  5. Drucker, D. C.: Proc. 1st Nat. Congr. Appi. Mech. ASME, 1951, p. 487.

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  6. Maier, G., Drucker, D. C.: Schweizerische Bauzeitung 84, 23 (1966).

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  7. Prager, W.: Introduction to Mechanics of Continua, New York: Ginn and Comp. 1961.

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Author information

Authors and Affiliations

  1. Royal Institute of Technology, Stockholm, Sweden

    B. Storåkers

Authors
  1. B. Storåkers
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Editor information

Editors and Affiliations

  1. Solid Mechanics Division, Faculty of Engineering, University of Waterloo, Waterloo, Ontario, Canada

    Horst Leipholz

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© 1971 Springer-Verlag, Berlin/Heidelberg

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Storåkers, B. (1971). Stability Conditions of Rigid-plastic Solids with Extension to Visco-plasticity. In: Leipholz, H. (eds) Instability of Continuous Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65073-4_37

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  • DOI: https://doi.org/10.1007/978-3-642-65073-4_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65075-8

  • Online ISBN: 978-3-642-65073-4

  • eBook Packages: Springer Book Archive

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