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Pol Grasland-Mongrain edited Let_s_describe_the_phenomenon__.tex
over 8 years ago
Commit id: 052b5a484ac8f65df2bb8f527068346b09d913c0
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diff --git a/Let_s_describe_the_phenomenon__.tex b/Let_s_describe_the_phenomenon__.tex
index c7f43f8..cd313c4 100644
--- a/Let_s_describe_the_phenomenon__.tex
+++ b/Let_s_describe_the_phenomenon__.tex
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\label{eq:eqChaleurApprox}
\end{equation}
Substituting the experimental parameters ($\gamma^{-1} \approx$ 40 $\mu$m$^{-1}$, $S$ = 20 mm$^{2}$, $E$ = 0.2 J, $\rho \approx$ 1000 kg.m$^{-3}$, $C \approx$ 4180
J.kg$^{-1}$.K$^{-1}$ J.kg$^{-1}$.K$^{-1}$) lead to a maximum increase of temperature of 15 K.
This local increase of temperature can lead a local dilatation of the medium occurs. We suppose that the medium is homogeneous and isotropic, and as the depth of absorption is small compared to the beam diameter, we adopt a 1D model. The stress $\sigma_{zz}$ is the sum between the axial strain component and the thermal expansion component \cite{scruby1990laser}:
\begin{equation}