[cig-commits] r13688 - doc/snac
sue at geodynamics.org
sue at geodynamics.org
Mon Dec 15 11:48:15 PST 2008
Author: sue
Date: 2008-12-15 11:48:14 -0800 (Mon, 15 Dec 2008)
New Revision: 13688
Modified:
doc/snac/snac.lyx
Log:
some typos, format fixes
Modified: doc/snac/snac.lyx
===================================================================
--- doc/snac/snac.lyx 2008-12-15 15:30:00 UTC (rev 13687)
+++ doc/snac/snac.lyx 2008-12-15 19:48:14 UTC (rev 13688)
@@ -1,4 +1,4 @@
-#LyX 1.5.3 created this file. For more info see http://www.lyx.org/
+#LyX 1.5.1 created this file. For more info see http://www.lyx.org/
\lyxformat 276
\begin_document
\begin_header
@@ -1430,7 +1430,8 @@
\end_inset
.
- Figure
+ Fig.\InsetSpace ~
+
\begin_inset LatexCommand ref
reference "fig:Remeshing.-Lagrangian-mesh"
@@ -4146,24 +4147,32 @@
\end_layout
\begin_layout Standard
-A 3-D Cartesian block of elaso-visco-plastic material is extended by the
+A 3D Cartesian block of elaso-visco-plastic material is extended by the
velocities applied to two side walls.
- The domain has a size of 40
+ The domain has a size of 40\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
-10
+\InsetSpace ~
+10\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
-80 km and is discretized into 20
+\InsetSpace ~
+80 km and is discretized into 20\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
-5
+\InsetSpace ~
+5\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
+\InsetSpace ~
40 elements (Fig.
\begin_inset LatexCommand ref
@@ -4175,10 +4184,10 @@
\end_layout
\begin_layout Standard
-The two side walls perpendicular to x-axis are pulled at a constant velocity
- of 1 cm/yr.
+The two side walls perpendicular to the x-axis are pulled at a constant
+ velocity of 1 cm/yr.
The other two side walls have free-slip conditions.
- The bottom surface is supported by the Winkler resotring forces.
+ The bottom surface is supported by the Winkler restoring forces.
\end_layout
\begin_layout Standard
@@ -4194,15 +4203,15 @@
\begin_layout Standard
The Mohr-Coulomb model is used with a two-step strain weakening.
- Cohesion decreases from 40 MPa to 0.4 Mpa as the second invariant of plastic
- strain grows up to 2 % but remains constant at 0.4 MPa thereafter.
+ Cohesion decreases from 40 MPa to 0.4 MPa as the second invariant of plastic
+ strain grows up to 2% but remains constant at 0.4 MPa thereafter.
Note that extremely large values of vis_min/max are chosen such that viscosity
is uniformly high and thus no viscous flow is allowed.
\end_layout
\begin_layout Standard
-A finite value of plastic strain (2 % in this problem) is assigned to a
- set of elements.
+A finite value of plastic strain (2% in this problem) is assigned to a set
+ of elements.
These element have a lower cohesion according to the given strain weakening
rule and thus strain localization is initiated from them.
The selection of elements is randomly made within the region at a certain
@@ -4221,7 +4230,7 @@
\end_layout
\begin_layout Standard
-Continued extension builds up strain and the seed elements start to yield
+Continued extension builds up strain, and the seed elements start to yield
first.
Initiated at the seed elements, localization of plastic strain propagates
in the direction normal to the applied velocities.
@@ -4266,7 +4275,8 @@
\end_inset
elements.
- (b) Plastic strain mapped on the deformed mesh after 2 km extension (0.1
+ (b) Plastic strain mapped on the deformed mesh after 2\InsetSpace ~
+km extension (0.1
My elapsed).
\end_layout
@@ -4289,14 +4299,12 @@
\end_layout
\begin_layout Standard
-The problem described above can be reproduced using the input file,
-\begin_inset Quotes sld
-\end_inset
-
+The problem described above can be reproduced using the input file
+\family typewriter
+\size small
Snac/examples/Cookbook1/cookbook1.xml
-\begin_inset Quotes srd
-\end_inset
-
+\family default
+\size default
.
The full contents of this input file is listed below for reference.
\end_layout
@@ -6071,7 +6079,7 @@
\end_layout
\begin_layout Itemize
-friction angle = 10
+Friction angle = 10
\begin_inset Formula $^{\circ}$
\end_inset
@@ -6079,7 +6087,7 @@
\end_layout
\begin_layout Itemize
-dilation angle = 10
+Dilation angle = 10
\begin_inset Formula $^{\circ}$
\end_inset
@@ -6087,7 +6095,7 @@
\end_layout
\begin_layout Itemize
-tension cut-off = 5.67 MPa
+Tension cut-off = 5.67 MPa
\end_layout
\begin_layout Itemize
@@ -6108,7 +6116,7 @@
\end_layout
\begin_layout Itemize
-mesh size: 1 m
+Mesh size: 1 m
\begin_inset Formula $\times$
\end_inset
@@ -6200,7 +6208,7 @@
\end_layout
\begin_layout Itemize
-Relative error is about 0.8 %.
+Relative error is about 0.8%.
\end_layout
@@ -6272,7 +6280,7 @@
\end_layout
\begin_layout Itemize
-friction angle = 0
+Friction angle = 0
\begin_inset Formula $^{\circ}$
\end_inset
@@ -6280,7 +6288,7 @@
\end_layout
\begin_layout Itemize
-dilation angle = 0
+Dilation angle = 0
\begin_inset Formula $^{\circ}$
\end_inset
@@ -6288,7 +6296,7 @@
\end_layout
\begin_layout Itemize
-tension cut-off = 567 MPa
+Tension cut-off = 567 MPa
\end_layout
\begin_layout Itemize
@@ -6298,7 +6306,7 @@
\begin_layout Itemize
Boundary Conditions: P = 20 MPa at r = a, and P = 0.0 at r = b.
- Top and bttom:
+ Top and bottom:
\begin_inset Formula $V_{y}$
\end_inset
@@ -6313,7 +6321,7 @@
\end_layout
\begin_layout Itemize
-mesh size: 31
+Mesh size: 31
\begin_inset Formula $\times$
\end_inset
@@ -6372,7 +6380,7 @@
\end_layout
\begin_layout Itemize
-Relative error is about 0.8 %.
+Relative error is about 0.8%.
\end_layout
@@ -6478,7 +6486,7 @@
\end_layout
\begin_layout Itemize
-friction angle = 10
+Friction angle = 10
\begin_inset Formula $^{\circ}$
\end_inset
@@ -6486,7 +6494,7 @@
\end_layout
\begin_layout Itemize
-dilation angle = 10
+Dilation angle = 10
\begin_inset Formula $^{\circ}$
\end_inset
@@ -6494,7 +6502,7 @@
\end_layout
\begin_layout Itemize
-tension cut-off = 567 MPa
+Tension cut-off = 567 MPa
\end_layout
\begin_layout Itemize
@@ -6504,11 +6512,11 @@
\begin_layout Itemize
Boundary Conditions: P = 2 MPa at r = a, and P = 0.0 at r = b.
- Top and bttom:
+ Top and bottom:
\begin_inset Formula $V_{y}$
\end_inset
-=0.0, free-slip.
+= 0.0, free-slip.
\end_layout
@@ -6519,7 +6527,7 @@
\end_layout
\begin_layout Itemize
-mesh size: 31
+Mesh size: 31
\begin_inset Formula $\times$
\end_inset
@@ -6540,7 +6548,7 @@
\end_layout
\begin_layout Itemize
-Relative error is about 0.1 %.
+Relative error is about 0.1%.
\end_layout
@@ -6633,15 +6641,19 @@
\begin_inset Text
\begin_layout Standard
-31
+31\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 3
+\InsetSpace ~
+3\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 31
+\InsetSpace ~
+31
\end_layout
\end_inset
@@ -6650,7 +6662,7 @@
\begin_inset Text
\begin_layout Standard
-0.14 %
+0.14%
\end_layout
\end_inset
@@ -6659,7 +6671,7 @@
\begin_inset Text
\begin_layout Standard
-0.31 %
+0.31%
\end_layout
\end_inset
@@ -6670,15 +6682,19 @@
\begin_inset Text
\begin_layout Standard
-25
+25\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 3
+\InsetSpace ~
+3\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 25
+\InsetSpace ~
+25
\end_layout
\end_inset
@@ -6687,7 +6703,7 @@
\begin_inset Text
\begin_layout Standard
-0.74 %
+0.74%
\end_layout
\end_inset
@@ -6696,7 +6712,7 @@
\begin_inset Text
\begin_layout Standard
-0.39 %
+0.39%
\end_layout
\end_inset
@@ -6707,15 +6723,19 @@
\begin_inset Text
\begin_layout Standard
-21
+21\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 3
+\InsetSpace ~
+3\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 21
+\InsetSpace ~
+21
\end_layout
\end_inset
@@ -6724,7 +6744,7 @@
\begin_inset Text
\begin_layout Standard
-1.05 %
+1.05%
\end_layout
\end_inset
@@ -6733,7 +6753,7 @@
\begin_inset Text
\begin_layout Standard
-0.52 %
+0.52%
\end_layout
\end_inset
@@ -6744,15 +6764,19 @@
\begin_inset Text
\begin_layout Standard
-17
+17\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 3
+\InsetSpace ~
+3\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 17
+\InsetSpace ~
+17
\end_layout
\end_inset
@@ -6761,7 +6785,7 @@
\begin_inset Text
\begin_layout Standard
-1.08 %
+1.08%
\end_layout
\end_inset
@@ -6770,7 +6794,7 @@
\begin_inset Text
\begin_layout Standard
-0.56 %
+0.56%
\end_layout
\end_inset
@@ -6781,15 +6805,19 @@
\begin_inset Text
\begin_layout Standard
-13
+13\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 3
+\InsetSpace ~
+3\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 13
+\InsetSpace ~
+13
\end_layout
\end_inset
@@ -6798,7 +6826,7 @@
\begin_inset Text
\begin_layout Standard
-0.88 %
+0.88%
\end_layout
\end_inset
@@ -6807,7 +6835,7 @@
\begin_inset Text
\begin_layout Standard
-0.59 %
+0.59%
\end_layout
\end_inset
@@ -6818,15 +6846,19 @@
\begin_inset Text
\begin_layout Standard
-9
+9\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 3
+\InsetSpace ~
+3\InsetSpace ~
+
\begin_inset Formula $\times$
\end_inset
- 9
+\InsetSpace ~
+9
\end_layout
\end_inset
@@ -6835,7 +6867,7 @@
\begin_inset Text
\begin_layout Standard
-1.12 %
+1.12%
\end_layout
\end_inset
@@ -6844,7 +6876,7 @@
\begin_inset Text
\begin_layout Standard
-0.54 %
+0.54%
\end_layout
\end_inset
@@ -6942,7 +6974,7 @@
\end_layout
\begin_layout Itemize
-mesh size: 20 m
+Mesh size: 20 m
\begin_inset Formula $\times$
\end_inset
@@ -7004,7 +7036,7 @@
\begin_layout Standard
Color field represents stress.
- Colored arrows for SNAC's velocity; black arrows for analytic solution.
+ Colored arrows are for SNAC's velocity, black arrows for analytic solution.
Over the most part of the domain, two sets of arrows show good agreement.
\end_layout
@@ -7042,8 +7074,7 @@
\begin_layout Standard
The second invariant of stress and velocities plotted on the deformed mesh.
- Colored arrows for the SNAC's solution and black ones for the analytic
- solution.
+ Colored arrows are for SNAC's solution, black ones for the analytic solution.
\end_layout
\end_inset
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