# [cig-commits] r13141 - doc/snac

echoi at geodynamics.org echoi at geodynamics.org
Tue Oct 28 13:21:25 PDT 2008

Author: echoi
Date: 2008-10-28 13:21:24 -0700 (Tue, 28 Oct 2008)
New Revision: 13141

Modified:
doc/snac/snac.lyx
Log:
1. changed paths to figures to relative ones.
2. It should be a dot over epsilon in the eq:eqfork.

Modified: doc/snac/snac.lyx
===================================================================
--- doc/snac/snac.lyx	2008-10-28 19:34:50 UTC (rev 13140)
+++ doc/snac/snac.lyx	2008-10-28 20:21:24 UTC (rev 13141)
@@ -1,4 +1,4 @@
-#LyX 1.5.1 created this file. For more info see http://www.lyx.org/
+#LyX 1.5.3 created this file. For more info see http://www.lyx.org/
\lyxformat 276
\begin_document
@@ -366,7 +366,7 @@
\begin_layout Standard
\begin_inset Formula $$\begin{array}{c} -\frac{\partial\sigma_{ij}}{\partial x_{j}}+\rho g_{i}=\frac{Dv_{i}}{Dt}\,\, in\,\,\Omega,\\ +\frac{\partial\sigma_{ij}}{\partial x_{j}}+\rho g_{i}=\rho\frac{Dv_{i}}{Dt},\,\, in\,\,\Omega,\\ v_{i}=g_{i}\,\, on\,\,\Gamma_{g},\\ t_{i}=h_{i}\,\, on\,\,\Gamma_{h},\end{array}\label{eq:Momentum balance for continuum}$$

@@ -925,7 +925,7 @@

\end_inset

- where
+where
\begin_inset Formula $T$
\end_inset

@@ -954,7 +954,11 @@

\end_inset

- For a given size of
+
+\end_layout
+
+\begin_layout Standard
+For a given size of
\begin_inset Formula $\Delta t$
\end_inset

@@ -986,14 +990,10 @@
\begin_inset Formula $$\begin{array}{cc} \frac{1}{3}T_{i} & =-ku_{i}\Rightarrow\\ -\frac{1}{3}\left(\lambda+2\mu\right)\left(\bar{\epsilon}_{ii}dt\right)n_{i}S & =-k\left(v_{i}dt\right)\,\,(\mathrm{no\, sum}),\end{array}\label{eq:eqfork}$$
+\frac{1}{3}\left(\lambda+2\mu\right)\left(\dot{\epsilon_{ii}}dt\right)n_{i}A & =-k\left(v_{i}dt\right)\,\,(\mathrm{no\, sum}),\end{array}\label{eq:eqfork}

\end_inset

-
-\end_layout
-
-\begin_layout Standard
where only the volumetric contribution from internal forces is taken into
account.
By substituting the approximation for the partial derivative (
@@ -1008,14 +1008,10 @@

, we obtain
\begin_inset Formula $$-k_{i}^{l}=\frac{1}{9V}(\lambda+2\mu)(n_{i}^{l}S^{l})^{2},\label{eq:kdef}$$
+k_{i}^{l}=\frac{1}{9V}(\lambda+2\mu)(n_{i}^{l}A^{l})^{2},\label{eq:kdef}

\end_inset

-
-\end_layout
-
-\begin_layout Standard
where
\begin_inset Formula $l$
\end_inset
@@ -1024,7 +1020,7 @@
quantities are computed on the corresponding face of the tetrahedron.
Finally, a tetrahedron's contribution to the scaled mass is given as
\begin_inset Formula $$-m^{l}=\frac{\lambda+2\mu}{9V}\max[(n_{i}^{l}S^{l})^{2},i=1,\dots,3].\label{eq:scaledmass}$$
+m^{l}=\frac{\lambda+2\mu}{9V}\max[(n_{i}^{l}A^{l})^{2},i=1,\dots,3].\label{eq:scaledmass}

\end_inset

@@ -4856,13 +4852,13 @@
\begin_inset Float figure
wide false
sideways false
-status collapsed
+status open

\begin_layout Standard
\noindent
\align center
\begin_inset Graphics
-	filename /Users/sue/snac/figures/mesh-with-pbc.png
+	filename figures/mesh-with-pbc.png
lyxscale 40
scale 40

@@ -4909,13 +4905,13 @@
\begin_inset Float figure
wide false
sideways false
-status collapsed
+status open

\begin_layout Standard
\noindent
\align center
\begin_inset Graphics
-	filename /Users/sue/snac/figures/2nd-invariant-stress-field.png
+	filename figures/2nd-invariant-stress-field.png
lyxscale 40
scale 40

@@ -4947,13 +4943,13 @@
\begin_inset Float figure
wide false
sideways false
-status collapsed
+status open

\begin_layout Standard
\noindent
\align center
\begin_inset Graphics
-	filename /Users/sue/snac/figures/2nd-invariant-profile-chart.png
+	filename figures/2nd-invariant-profile-chart.png
lyxscale 40
scale 40

@@ -5087,13 +5083,13 @@
\begin_inset Float figure
wide false
sideways false
-status collapsed
+status open

\begin_layout Standard
\noindent
\align center
\begin_inset Graphics
lyxscale 40
scale 40

@@ -5129,7 +5125,7 @@
\begin_inset Float table
wide false
sideways false
-status collapsed
+status open

\begin_layout Standard
\noindent
@@ -5520,13 +5516,13 @@
\begin_inset Float figure
wide false
sideways false
-status collapsed
+status open

\begin_layout Standard
\noindent
\align center
\begin_inset Graphics
-	filename /Users/sue/snac/figures/results-BM-prob-1-graph.png
+	filename figures/results-BM-prob-1-graph.png
lyxscale 60
scale 60

@@ -5590,13 +5586,13 @@
\begin_inset Float figure
wide false
sideways false
-status collapsed
+status open

\begin_layout Standard
\noindent
\align center
\begin_inset Graphics
-	filename /Users/sue/snac/figures/results-color-BM-prob-1-graph.png
+	filename figures/results-color-BM-prob-1-graph.png
lyxscale 45
scale 45

@@ -5623,43 +5619,13 @@
\end_layout

\begin_layout Standard
-\noindent
-\align center
-\begin_inset Float figure
-wide false
-sideways false
-status collapsed

-\begin_layout Standard
-\noindent
-\align center
-\begin_inset Graphics
-	filename /Users/sue/snac/figures/results-color2-BM-prob-1-graph.png
-	lyxscale 40
-	scale 40
-
-\end_inset
-
-
\end_layout

\begin_layout Standard
-\begin_inset Caption

-\begin_layout Standard
-NEED CAPTION -- TODO
\end_layout

-\end_inset
-
-
-\end_layout
-
-\end_inset
-
-
-\end_layout
-
\begin_layout Paragraph*
Other sections from the TWiki include
\end_layout