[cig-commits] commit: Small change to small strain sentence (added reference). Added address to books in references.
Mercurial
hg at geodynamics.org
Mon Feb 11 08:32:47 PST 2013
changeset: 174:b045f86bf618
tag: tip
user: Brad Aagaard <baagaard at usgs.gov>
date: Mon Feb 11 08:32:42 2013 -0800
files: faultRup.tex references.bib
description:
Small change to small strain sentence (added reference). Added address to books in references.
diff -r e4a3ef813c7a -r b045f86bf618 faultRup.tex
--- a/faultRup.tex Mon Feb 11 18:32:53 2013 +1300
+++ b/faultRup.tex Mon Feb 11 08:32:42 2013 -0800
@@ -516,10 +516,10 @@ mechanics finite-element formulations. I
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, 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,
+implementation for small strain and rigid body motion using the
+Green-Lagrange strain tensor and the second Piola-Kirchoff stress
+tensor \citep{Bathe:1995}. 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.
diff -r e4a3ef813c7a -r b045f86bf618 references.bib
--- a/references.bib Mon Feb 11 18:32:53 2013 +1300
+++ b/references.bib Mon Feb 11 08:32:42 2013 -0800
@@ -1482,18 +1482,28 @@ topography},
@Book{Zienkiewicz:etal:2005,
author = {Zienkiewicz, O.~C. and Taylor, R.~L. and Zhu, J.~Z.},
title = {The Finite-Element Method: Its Basis and Fundamentals},
- publisher = {Butterworth-Heinemann},
+ publisher = {Elsevier Butterworth-Heinemann},
year = {2005},
edition = {6th},
+ address = {Burlington, Massachusetts}
+}
+
+ at Book{Bathe:1995,
+ author = {Bathe, K.-J.},
+ title = {Finite-Element Procedures},
+ publisher = {Prentice Hall},
+ year = {1995},
+ address = {Upper Saddle River, New Jersey}
}
@book{Brenner:Scott:2008,
title = {The Mathematical Theory of Finite Element Methods},
author = {Brenner, S.~C. and Scott, L.~R.},
- edition = {3rd Edition},
+ edition = {3rd},
series = {Texts in Applied Mathematics},
year = {2008},
- publisher = {Springer-Verlag}
+ publisher = {Springer},
+ address = {New York, New York}
}
@Misc{PETSc:web:page,
@@ -1543,7 +1553,8 @@ topography},
title = {Iterative Methods for Sparse Linear Systems},
edition = {2nd},
publisher = {SIAM},
- year = {2003}
+ year = {2003},
+ address = {Philadelphia, Pennsylvania},
}
@@ -1620,7 +1631,7 @@ topography},
@article{Bizzarri:Cocco:2005,
author = {Bizzarri, A. and Cocco, M.},
- title = {3D dynamic simulations of spontaneous rupture propagation
+ title = {{3D} dynamic simulations of spontaneous rupture propagation
governed by different constitutive laws with rake
rotation allowed},
journal = {Annals of Geophysics},
@@ -1876,7 +1887,7 @@ topography},
title = {Quantitative {Seismology}},
year = 2002,
publisher = {University Science Books},
- address = {Sausalito, CA},
+ address = {Sausalito, California},
}
@inproceedings{GordonBell09,
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