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Application of Cosserat theory in numerical solutions of limit load problems

Anwendung der Cosserat-Theorie bei numerischen Lösungen von Traglastproblemen

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Summary

A continuum model for regular block structures is derived within the framework of Cosserat theory. On the basis of the derived model a limit load problem of tunnel statics is solved by the finite element method. In a special case the results of the numerical analysis are compared with a kinematical bounding solution.

übersicht

Ausgehend von elementaren Gleichgewichtsbetrachtungen wird zunÄchst das virtuelle Leistungsprinzip der Cosserat-Theorie formuliert. Anschlie\end wird ein Kontinuumsmodell für eine regelmÄ\ige Blockstruktur abgeleitet. Als Anwendung der hier formulierten Theorie wird ein Traglastproblem der Tunnelstatik nach der Finite-Element-Methode gelöst. Die Ergebnisse der numerischen Berechnung werden, soweit möglich, mit den Ergebnissen einer kinematischen Schrankenlösung verglichen.

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Authors and Affiliations

  1. Karlsruhe

    H. -B. Mühlhaus

  2. CSIRO-Division of Geomechanics, P. O. Box 54, 3149, Mount Waverley, Vic., Australia

    H. -B. Mühlhaus

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Mühlhaus, H.B. Application of Cosserat theory in numerical solutions of limit load problems. Ing. arch 59, 124–137 (1989). https://doi.org/10.1007/BF00538366

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