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4. Version WU WEI

This version was propesed in [5].


\begin{eqnarray*}\kTb=C_1(\tr\Tb)\Db+C_2\Frac{\tr(\Tb\Db)}{\tr\Tb}\Tb+C_3 \Frac{... ...\tr\Db^2}+C_4\Frac{{\Tb^{\ast}}^2}{\tr\Tb}\sqrt{\tr \Db^2}\quad. \end{eqnarray*}

with

\begin{eqnarray*}{\Tb^{\ast}}^2 := \Tb - \frac{1}{3}(\tr \Tb) \Ib \end{eqnarray*}

The parameters for Karlsruhe sand are:

Density C1 C2 C3 C4 reference
loose -33,3 -308,4 -306,8 321,3 [5]
dense (e0 = 0,55) -110,15 -963,73 -877,19 1226,2 [1]
loose (e0 = 0,76) -69,23 -670,72 -653,26 690,9 [1]



Wolfgang Fellin
1999-10-01