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Pol Grasland-Mongrain edited Simu disp maps.tex
about 8 years ago
Commit id: a8c3fd7c3841c43745eb449b77fb32dec75b75ee
deletions | additions
diff --git a/Simu disp maps.tex b/Simu disp maps.tex
index 9d9f1c8..dfe6ce4 100644
--- a/Simu disp maps.tex
+++ b/Simu disp maps.tex
...
\begin{equation}
\sigma_{zz} = (\lambda + 2 \mu) \frac{\partial u_z}{\partial z} - \frac{1}{\rho}\frac{I^2}{(L+C(T_V-T_0))^2}
\label{eq:stressAbla}
\end{equation} where $L$ is the latent heat required to vaporize the solid, and
$T_0$ and $T_V$
and $T_0$ are the
initial and vaporization
and initial temperatures, respectively.
By assuming $\mu \ll \lambda$ and a zero stress state at the medium surface, equation \ref{eq:stressAbla} leads to a displacement, $u_z$, of:
\begin{equation}