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Author(s):     
 
Kosmann, Benedikt; Perau, Eugen
 
Title:     
 
Beschreibung der Festigkeit von Fels unter echten triaxialen Bedingungen mit der Grenzbedingung nach Mogi-Coulomb
 
Abstract:     
 
Durch Untersuchungen von Fels unter echten triaxialen Bedingungen kann der Einfluss der mittleren Hauptspannung auf das Versagen gezeigt werden. Für numerische Berechnungen von Tunneln und Bohrlöchern, bei denen die mittlere und kleinste Hauptspannung nicht identisch sind, wären Grenzbedingungen vorteilhaft, die den Einfluss der mittleren Hauptspannung berücksichtigen. Mit der in den Sonderfällen triaxialer Extension und Kompression mit Mohr-Coulomb identischen Grenzbedingung nach Mogi-Coulomb kann dieser Einfluss berücksichtigt werden. Um echte triaxiale Grenzzustände besser abbilden zu können, wird in diesem Aufsatz die modifizierte Grenzbedingung nach Mogi-Coulomb untersucht, in der die Grenzbedingungen nach von Mises, Drucker-Prager und Mohr-Coulomb als Spezialfälle enthalten sind. Um Anwendungsmöglichkeiten aufzuzeigen, werden der Ursprung, die Fließfläche im Spannungsraum, der Einfluss der Parameter, die Konvexität und die Parametergewinnung aus Laborversuchen behandelt.

Describing rock strength under true triaxial conditions with the limit condition of Mogi-Coulomb
It is known that investigations of rock strength under true triaxial conditions can show the influence of the mean principal stress on failure. For numerical calculations of tunnels and boreholes, where the mean and minimum principal stresses are not identical, limit conditions that take into account the influence of the mean principal stress would be advantageous. With the limit condition according to Mogi-Coulomb, unlike with the well-known limit condition according to Mohr-Coulomb, the influence of the mean principal stress can be taken into account. At the same time, however, these two limit conditions are identical for triaxial extension and compression. In order to be able to map limit states even more appropriate, the modified limit condition according to Mogi-Coulomb is presented in this article. In this modified form, the limit conditions according to Drucker-Prager and von Mises are included as a special case. In order to understand the Mogi-Coulomb criterion and to show possible applications, the present article shows its form, the influence of the parameters, the convexity and parameter acquisition of laboratory tests are examined.
 
Source:     geotechnik 44 (2021), No. 1
 
Page/s:     2-13
 
Language of Publication:     German



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