[cig-commits] r5076 - short/3D/PyLith/branches/pylith-0.8/doc/userguide/materials

[willic3 at geodynamics.org]

Author: willic3
Date: 2006-10-23 07:56:01 -0700 (Mon, 23 Oct 2006)
New Revision: 5076

Modified:
   short/3D/PyLith/branches/pylith-0.8/doc/userguide/materials/materials.lyx
Log:
Fixed silly error in derivative of effective stress function to be
used for Newton's method (equation 46).



Modified: short/3D/PyLith/branches/pylith-0.8/doc/userguide/materials/materials.lyx
===================================================================
--- short/3D/PyLith/branches/pylith-0.8/doc/userguide/materials/materials.lyx	2006-10-23 00:48:05 UTC (rev 5075)
+++ short/3D/PyLith/branches/pylith-0.8/doc/userguide/materials/materials.lyx	2006-10-23 14:56:01 UTC (rev 5076)
@@ -698,7 +698,7 @@
 
 , which may be written:
 \begin_inset Formula \begin{gather}
-\frac{\partial F}{\partial\sqrt{\Prefix^{{t+\Delta t}}{J_{2}^{\prime}}}}=2a^{2}+\frac{\alpha\left(n-1\right)\sqrt{\Prefix^{{\tau}}{J_{2}^{\prime}}}^{n-2}}{2\eta^{n}}\left(2a\alpha\Delta t\Prefix^{{t+\Delta t}}{J_{2}^{\prime}}+c-2d^{2}\Prefix^{{\tau}}{\gamma}\right)\,.\label{eq:46}\end{gather}
+\frac{\partial F}{\partial\sqrt{\Prefix^{{t+\Delta t}}{J_{2}^{\prime}}}}=2a^{2}\sqrt{\Prefix^{{t+\Delta t}}{J_{2}^{\prime}}}+\frac{\alpha\left(n-1\right)\sqrt{\Prefix^{{\tau}}{J_{2}^{\prime}}}^{n-2}}{2\eta^{n}}\left(2a\alpha\Delta t\Prefix^{{t+\Delta t}}{J_{2}^{\prime}}+c-2d^{2}\Prefix^{{\tau}}{\gamma}\right)\,.\label{eq:46}\end{gather}
 
 \end_inset