[cig-commits] r13690 - doc/snac

[sue at geodynamics.org]

Author: sue
Date: 2008-12-15 12:05:05 -0800 (Mon, 15 Dec 2008)
New Revision: 13690

Modified:
   doc/snac/snac.lyx
Log:
fixed ref formatting and other minor things

Modified: doc/snac/snac.lyx
===================================================================
--- doc/snac/snac.lyx	2008-12-15 19:56:04 UTC (rev 13689)
+++ doc/snac/snac.lyx	2008-12-15 20:05:05 UTC (rev 13690)
@@ -922,7 +922,7 @@
  is the P wave velocity.
  Instead, through an analogy of continuum to an infinite mass-spring system,
  we use a criterion that does not explicitly include length scale and P
- wave velocity; see Chapter 9 in Bathe
+ wave velocity; see Chapter 9 in Bathe 
 \begin_inset LatexCommand cite
 key "Bathe_1996"
 
@@ -971,13 +971,15 @@
 \begin_inset Formula $\Delta t$
 \end_inset
 
-, the nodal mass is adjusted according to (
+, the nodal mass is adjusted according to (Eq.
+ 
 \begin_inset LatexCommand ref
 reference "eq:critmass"
 
 \end_inset
 
-) to automatically satisfy the stability critetion, (
+) to automatically satisfy the stability critetion, (Eq.
+ 
 \begin_inset LatexCommand ref
 reference "eq:dtcrit"
 
@@ -1004,7 +1006,8 @@
 
 where only the volumetric contribution from internal forces is taken into
  account.
- By substituting the approximation (
+ By substituting the approximation (Eq.
+ 
 \begin_inset LatexCommand ref
 reference "eq:formula_fi"
 
@@ -1058,7 +1061,7 @@
 
 ).
  First, the initial guess of stress is acquired by the Maxwell viscoelastic
- constitutive law
+ constitutive law 
 \begin_inset LatexCommand cite
 key "Poli_etal1993a"
 
@@ -1066,7 +1069,7 @@
 
 .
  If this initial guess exceeds a given yield stress, it is projected onto
- the yield surface using a return mapping method
+ the yield surface using a return mapping method 
 \begin_inset LatexCommand cite
 key "SimoHugh2004"
 
@@ -1114,7 +1117,7 @@
 \begin_inset Formula $\Delta\sigma^{\Delta J}$
 \end_inset
 
-)
+) 
 \begin_inset LatexCommand cite
 key "RudnRice1975"
 
@@ -1241,13 +1244,13 @@
 \begin_inset Formula $\sigma^{n+1}$
 \end_inset
 
- onto the yield surface using a return-mapping algorithm [
+ onto the yield surface using a return-mapping algorithm 
 \begin_inset LatexCommand cite
 key "SimoHugh2004"
 
 \end_inset
 
-].
+.
  
 \end_layout
 
@@ -1425,7 +1428,7 @@
  tetrahedron of the old mesh, which is found based on the distance between
  quadrature locations.
  Such a transfer is proven to be variationally consistent and also preserves
- nonlinear internal constraints as in the case of plasticity
+ nonlinear internal constraints as in the case of plasticity 
 \begin_inset LatexCommand cite
 key "OrtiQuig1991"
 
@@ -1467,7 +1470,7 @@
 
 \end_inset
 
-(b) shows that remeshing cannot only generate a more regular mesh but also
+b shows that remeshing cannot only generate a more regular mesh but also
  change the bottom boundary of the domain.
  Although useful in some cases, this ``boundary restoring'' technique should
  be used with caution because it also creates unmappable regions and thus
@@ -1551,51 +1554,14 @@
  Together with the ability to manipulate Entry Points, use of plugins makes
  it simple and local to extend SNAC.
  For instance, if a mesh for a quadrant of a cylinder is desired, one can
- simply include 
-\begin_inset Quotes sld
-\end_inset
-
-SnacCylinderQuad
-\begin_inset Quotes srd
-\end_inset
-
- in the list of plugins in an input file.
+ simply include ``SnacCylinderQuad'' in the list of plugins in an input
+ file.
  If a thermal problem needs to be solved in addition to a quasistatic momentum
- balance problem, loading the plugin, 
-\begin_inset Quotes sld
-\end_inset
-
-SnacTemperature
-\begin_inset Quotes srd
-\end_inset
-
-, is all that needs to be done.
+ balance problem, loading the plugin, ``SnacTemperature'', is all that needs
+ to be done.
  Trying out different constitutive models can be done in the same fashion:
- One can load one of the plugins such as 
-\begin_inset Quotes sld
-\end_inset
-
-SnacElastic
-\begin_inset Quotes srd
-\end_inset
-
-, 
-\begin_inset Quotes sld
-\end_inset
-
-SnacViscoElastic
-\begin_inset Quotes srd
-\end_inset
-
-, and 
-\begin_inset Quotes sld
-\end_inset
-
-SnacViscoPlastic
-\begin_inset Quotes srd
-\end_inset
-
-.
+ One can load one of the plugins such as ``SnacElastic'', ``SnacViscoElastic'',
+ and ``SnacViscoPlastic''.
  
 \end_layout
 
@@ -4044,8 +4010,10 @@
 
 \begin_layout Standard
 The temperature boundary conditions take the same structure.
- The following example shows how to apply a uniform temperature of 500.0\InsetSpace ~
-°C
+ The following example shows how to apply a uniform temperature of 500.0
+\begin_inset Formula $^{\circ}C$
+\end_inset
+
  to all the top surface nodes:
 \end_layout
 
@@ -4196,7 +4164,7 @@
 An initial temperature field is generated by a condition function that makes
  a horizontally uniform temperature field with a constant vertical gradient.
  The boundary conditions fix the top and bottom temperature at their initial
- values (0 and 700 
+ values (0 and 700
 \begin_inset Formula $^{\circ}C$
 \end_inset
 
@@ -7038,8 +7006,8 @@
 
 \begin_layout Standard
 Color field represents stress.
- 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.
+ Colored arrows are for SNAC's velocity, black arrows for the analytic solution.
+ Over the most part of the domain, the two sets of arrows show good agreement.
  
 \end_layout