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The viscoplastic circular plate—A new solution

Die viskoplastische Kreisplatte-Eine neue Lösung

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Summary

In a previous paper a theory of viscoplasticity was developed in which the dynamic yield surface is defined as the surface which encloses the quasistatic yield surface and has a constant distance from it. In the present paper, by means of the above theory, the problem of a thin circular plate under uniformly distributed transverse pressure is solved. The material of the plate is assumed to be rigidviscoplastic. The solution is compared with previous solutions of the same problem.

Zusammenfassung

In einer vorangeganenen Arbeit wurde eine Theorie der Viskoplastizität entwickelt und die dynamische Fließfläche definiert, eine Fläche, die die quasistatische Fließfläche in konstantem Abstand umgibt. In vorliegender Arbeit wird mit Hilfe dieser Theorie das Problem einer dünnen Kreisplatte unter Gleichlast gelöst. Der Plattenwerkstoff wird als starr-viskoplastisch vorausgesetzt. Die Lösung wird mit anderen desselben Problems verglichen.

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References

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Authors and Affiliations

  1. Department of Engineering and Applied Science, Yale University Becton Center, 15 Prospect Street, 06520, New Haven, CT, U.S.A.

    A. Phillips

  2. Department of Mechanical Engineering, University of Iowa, Iowa City, Iowa, U.S.A.

    H. -C. Wu

Authors
  1. A. Phillips
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  2. H. -C. Wu
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With 10 Figures

This research has been supported by the National Science Foundation under a grant with Yale University.

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Phillips, A., Wu, H.C. The viscoplastic circular plate—A new solution. Acta Mechanica 17, 121–136 (1973). https://doi.org/10.1007/BF01260884

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  • DOI: https://doi.org/10.1007/BF01260884

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