[cig-commits] [commit] master: fix deviatoric stress calculation in the relax.tex documentation. (4114a0d)

cig_noreply at geodynamics.org cig_noreply at geodynamics.org
Fri Apr 25 03:43:21 PDT 2014


Repository : ssh://geoshell/relax

On branch  : master
Link       : https://github.com/geodynamics/relax/compare/5ce9b490277a905c6fc0b3637840109bd4a16143...4114a0de19981860497fddcbe604a7be09fda8a8

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commit 4114a0de19981860497fddcbe604a7be09fda8a8
Author: Sylvain Barbot <sbarbot at ntu.edu.sg>
Date:   Fri Apr 25 18:42:58 2014 +0800

    fix deviatoric stress calculation in the relax.tex documentation.


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4114a0de19981860497fddcbe604a7be09fda8a8
 latex/relax.tex | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/latex/relax.tex b/latex/relax.tex
index adad5b7..b53894c 100644
--- a/latex/relax.tex
+++ b/latex/relax.tex
@@ -807,9 +807,9 @@ grdmath $\{index\}-s\{11,22\}.grd ADD $\{index\}-s33.grd ADD = $\{index\}-skk.gr
 \end{alltt}
 To better anticipate the extent of the viscoelastic deformation (where will the rocks flow after an earthquake), we can evaluate the norm of the deviatoric stress $\tau$, as it drives viscoelastic flow (eq.~\ref{eqn:viscoelastic}). The deviatoric stress tensor $\sigma'_{ij}$ contains no isotropic component, so we can simply compute its diagonal components as follows
 \begin{alltt}
-{\color{NavyBlue}grdmath $\{index\}-s11.grd $\{index\}-skk.grd SUB = $\{index\}-s11p.grd
-grdmath $\{index\}-s22.grd $\{index\}-skk.grd SUB = $\{index\}-s22p.grd
-grdmath $\{index\}-s33.grd $\{index\}-skk.grd SUB = $\{index\}-s33p.grd}
+{\color{NavyBlue}grdmath $\{index\}-s11.grd $\{index\}-skk.grd 3 DIV SUB = $\{index\}-s11p.grd
+grdmath $\{index\}-s22.grd $\{index\}-skk.grd 3 DIV SUB = $\{index\}-s22p.grd
+grdmath $\{index\}-s33.grd $\{index\}-skk.grd 3 DIV SUB = $\{index\}-s33p.grd}
 \end{alltt}
 The vigor of viscoelastic flow will be controlled by the norm of the deviatoric stress tensor (eq.~\ref{eqn:viscoelastic}) and the direction of the flow will be controlled by how the amplitude of stress projects in different directions. The norm of the deviatoric stress can be evaluated as follows
 \begin{alltt}



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