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Author(s):     
 
Schranz, Fabian; Fellin, Wolfgang
 
Title:     
 
Stability of infinite slopes investigated with elastoplasticity and hypoplasticity
 
Abstract:     
 
It is commonly assumed that the maximum slope angle &bgr; of an infinite cohesionless slope is equal to the friction angle of the soil &phgr;. However, this relation only holds for a dilatancy angle &psgr; equal to the friction angle if the Mohr-Coulomb failure criterion is employed. This article demonstrates that the increase in the soil strength due to the plane strain conditions in an infinite slope allows for using &bgr; = &phgr; as a conservative approximation for &phgr; < 35° and &psgr; > &phgr;/3. Further, the calculations presented here support the common practice in geotechnical engineering of using the strength parameters obtained from triaxial tests in limit state calculations such as Bishop's method without further consideration of the dilatancy. However, it seems to be more appropriate to use direct shear tests wherever possible, i.e. for fine-grained soils.

Standsicherheit unendlich langer Böschungen untersucht mit Elastoplastizität und Hypoplastizität.
Es wird üblicherweise angenommen, dass die maximale Neigung &bgr; einer unendlich langen, kohäsionslosen Böschung dem Reibungswinkel &phgr; des Materials entspricht. Bei der Verwendung des Versagenskriteriums nach Mohr-Coulomb ist das jedoch nur korrekt für Böden mit Dilatanzwinkel &psgr; gleich dem Reibungswinkel. In diesem Beitrag wird gezeigt, dass infolge des ebenen Verzerrungszustandes &bgr; = &phgr; als konservative Schätzung verwendet werden kann, wenn &phgr; < 35° und &psgr; > &phgr;/3 gilt. Außerdem bestätigen die angestellten Berechnungen die übliche Vorgehensweise, in der Geotechnik Standsicherheitsuntersuchungen, wie z. B. das Lamellenverfahren nach Bishop, mit Festigkeitsparametern aus dem Triaxialversuch ohne Berücksichtigung der Dilatanz durchzuführen. Es scheint jedoch angemessener, wenn möglich Rahmenscherversuche durchzuführen, um die erforderlichen Parameter zu erhalten.
 
Source:     geotechnik 39 (2016), No. 3
 
Page/s:     184-194
 
Language of Publication:     English



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