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Merge pull request #827 from Prometheusp/MMC
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LMECA1901: Fix mistake equation 16
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Peiffap authored May 27, 2020
2 parents ac8059b + 077df58 commit 12ced29
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2 changes: 1 addition & 1 deletion src/q4/mmc-MECA1901/summary/mmc-MECA1901-summary.tex
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Expand Up @@ -1159,7 +1159,7 @@ \subsection{Décomposition déviatoire/sphérique}
En introduisant le module de compressibilité $$\kappa=\lambda+\frac{2\mu}{3},$$ on peut maintenant relier les déformations et les contraintes avec deux équations simples:
\begin{align}
\label{defo-cont}
\sigma_{ij}^d&=3\mu\epsilon_{ij}^d\\
\sigma_{ij}^d&=2\mu\epsilon_{ij}^d\\
\frac{\sigma_{ll}}{3}&=\kappa\epsilon_{ll}
\end{align}
En effet, comme $\sigma_{ij}=\lambda\epsilon_{ll}\delta_{ij}+2\mu\epsilon_{ij}$, on a:
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