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--- laws:persol [2019/10/15 14:27]
helene created
+++ laws:persol [2020/08/25 15:46] (current)
@@ Line 185: / Line 185: @@
 === Criterion with friction angle different from 0 (Drücker Prager or Van Eekelen) ===
-The regular criterion is used if $I_{\sigma}-m'II_{\hat{\sigma}}<\frac{3c}{\tan\phi_c}$ : \[f=II_{\hat{\sigma}}+m\left(I_{\sigma}-\frac{3c}{\tan\phi_c}\right)=0\] with :
+The regular criterion is used if $I_{\sigma}-m'II_{\hat{\sigma}}<\frac{3c}{\tan\phi_c}$ : \[f=II_{\hat{\sigma}}+m\left(I_{\sigma}-\frac{3c}{\tan\phi_c}\right)=0\] with:
-- Drücker Prager : $m = \frac{2\sin\phi_c}{\sqrt{3}(3-\sin\phi_c)}$
+  * Drücker Prager : $m = \frac{2\sin\phi_c}{\sqrt{3}(3-\sin\phi_c)}$
-- Van Eekelen : $m=a(1+b\sin 3\beta)^n$ where $a$ and $b$ are functions of $\phi_C$, $\phi_E$ and $n$.\\
+  * Van Eekelen : $m=a(1+b\sin 3\beta)^n$ where $a$ and $b$ are functions of $\phi_C$, $\phi_E$ and $n$.\\
 The apex criterion is used if $I_{\sigma}-m'II_{\hat{\sigma}}\geq\frac{3c}{\tan\phi_C}$ : \[f=I_{\sigma}-\frac{3c}{\tan\phi_c}=0\] where $m'$ is the equivalent of $m$ but for the flow surface (i.e. $\phi$ is replaced by $\psi$ )

Lagamine