[cig-commits] commit: Added more detail to the large strain information.

[Mercurial]

changeset:   173:e4a3ef813c7a
tag:         tip
user:        Charles Williams <C.Williams at gns.cri.nz>
date:        Mon Feb 11 18:32:53 2013 +1300
files:       faultRup.tex
description:
Added more detail to the large strain information.


diff -r 1b19a2d00c03 -r e4a3ef813c7a faultRup.tex
--- a/faultRup.tex	Mon Feb 11 17:24:26 2013 +1300
+++ b/faultRup.tex	Mon Feb 11 18:32:53 2013 +1300
@@ -515,9 +515,11 @@ This matches the tangent stiffness matri
 This matches the tangent stiffness matrix in conventional solid
 mechanics finite-element formulations. In computing the residual, we
 use the expression given in equation~(\ref{eqn:residual:elasticity})
-with one implementation for infinitesimal strain and another implementation
-for small strain and rigid body motion. Following a similar procedure,
-we find the portion of the Jacobian associated with the constraints,
+with one implementation for infinitesimal strain and another
+implementation, employing the Green-Lagrange strain tensor and the
+second Piola-Kirchoff stress tensor, for small strain with moderate
+amounts of rigid body motion. Following a similar procedure, we find
+the portion of the Jacobian associated with the constraints,
 equation~(\ref{eqn:quasi-static:residual:fault}), is
 \begin{linenomath*}\begin{equation}\label{eqn:jacobian:constraint}
   \bm{L} = \int_{S_f} \bm{N}_p^T \cdot (\bm{N}_{n^+} - \bm{N}_{n^-}) \, dS.