Below four different stress states A to D are presented. Calculate the stress
invariants $I_1$, $I_2$, $I_3$, $J_1$, $J_2$ and $J_3$. $\sigma_m$ (mean stress), $\theta$ (lode angle) and the corresponding stress deviator $S_{ij}$ tensor for the stress states below. All stresses in
the stress states below are in MPa.\\\\
\textbf{A.}
$\sigma = \begin{bmatrix}
1200 & 100 & 300\\
100 & -700 & -600\\
300 & -600 & 440\\
\end{bmatrix}$ \textbf{B.}
$\sigma = \begin{bmatrix}
950 & 120 & 250\\
120 & -870 & 290\\
250 & 290 & 940\\
\end{bmatrix}$\\\\\\
\textbf{C.}
$\sigma = \begin{bmatrix}
0 & 0 & 290\\
0 & 0 & 1070\\
290 & 1070 & 0\\
\end{bmatrix}$
\textbf{D.}
$\sigma = \begin{bmatrix}
-1400& 0& 0\\
0 &700& 0\\
0& 0& 700\\
\end{bmatrix}$\\\\