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Torsion des unendlichen Halbraumes durch einen kreisförmigen Stempel

Torsion of an elastic half-space by a flat annular stamp

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Übersicht

Es wird ein numerisches Berechnungsverfahren für die Einleitung des Torsionsmomentes im unendlichen Halbraum durch einen kreisringförmigen Stempel, der fest mit dem Halbraum verbunden ist, entwickelt. Das gemischte Randwertproblem wird mit Hilfe geeigneter Singularitäten auf eine Fredholmsche Integralgleichung zurückgeführt und numerisch gelöst. Die Lösung der Integralgleichung gibt direkt die gesuchten Schubspannungen in der Kontaktfläche an. An Testreohnungen wird die Brauchbarkeit der Methode aufgezeigt.

Summary

The problem considered here is that of an elastic isotropic half-space twisted by the rotation of a flat annular stamp to which it is joined. Using singularities the mixed boundary value problem is reduced by means of Betti's reciprocical theorem into a Fredholm integral equation for the unknown shearing stresses in the contact region. Some numerical results are presented and compared with published ones.

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Literatur

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Authors and Affiliations

  1. Doz. T. E. I. Patras, Patras, Greece

    A. D. Tsantiotou-Kermanidou

  2. Department of Mechanical Engineering, University of Patras, Greece

    E. N. Mastrogiannis (Assoc. Prof.) & T. B. Kermanidis (Prof. of Appl. Mechanics)

Authors
  1. A. D. Tsantiotou-Kermanidou
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  2. E. N. Mastrogiannis
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  3. T. B. Kermanidis
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Tsantiotou-Kermanidou, A.D., Mastrogiannis, E.N. & Kermanidis, T.B. Torsion des unendlichen Halbraumes durch einen kreisförmigen Stempel. Ing. arch 55, 428–433 (1985). https://doi.org/10.1007/BF00537650

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  • DOI: https://doi.org/10.1007/BF00537650

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