Zum Einfluss des Dilatanzwinkels auf die Sicherheit am Beispiel einer einfach verankerten Spundwand.

The influence of the dilatancy angle on the safety of a single anchored sheet pile wall Safety factors and utilization ratios can be determined using the Finite Element Method by reducing the shear strength (SRFEM). However, there is an influence of the applied dilatancy angle ψ ${\psi }$. In the investigated example of a single anchored sheet pile wall, in both purely frictional and cohesive soils, deviations of up to 11 % occur between ψ=0 ${\psi = 0}$ and ψ=ϕ ${\psi = \varphi }$. In addition to the SRFEM, safety factors and utilization ratios can also be determined using a Finite Element implementation of the collapse theorems (FELA). The computed upper and lower bounds represent limits for the results of the SRFEM only for an associated flow rule (ψ=ϕ ${\psi = \varphi }$). Nevertheless, a material with a non‐associated flow rule (ψ<ϕ ${\psi \char60 \varphi }$) can be approximately accounted for by using reduced shear strength parameters according to Davis. In the investigated example, deviations of up to 9 % occur between FELA and SRFEM. Moreover, comparisons with currently used conventional methods, referred to as Limit Equilibrium Analyses (LEA), are of interest. In this paper, the verification in the lower failure plane is investigated with three different safety definitions, where reduced shear strength parameters according to Davis are used for ψ<ϕ ${\psi \char60 \varphi }$ , as for the FELA. Safety factors and utilization ratios determined by means of conventional methods are qualitatively comparable to the results of the SRFEM. Quantitatively, however, the deviations in this example are in the order of 10 %, even for mechanically comparable LEA with realistic dilatancy angles. For LEA with a safety definition according to Kranz, these deviations are partially significantly larger. [ABSTRACT FROM AUTHOR]