[Getfem-commits] r5014 - /trunk/getfem/doc/sphinx/source/tutorial/wheel.rst

[Yves . Renard]

Author: renard
Date: Fri May 29 16:40:04 2015
New Revision: 5014

URL: http://svn.gna.org/viewcvs/getfem?rev=5014&view=rev
Log:
minor modification

Modified:
    trunk/getfem/doc/sphinx/source/tutorial/wheel.rst

Modified: trunk/getfem/doc/sphinx/source/tutorial/wheel.rst
URL: 
http://svn.gna.org/viewcvs/getfem/trunk/getfem/doc/sphinx/source/tutorial/wheel.rst?rev=5014&r1=5013&r2=5014&view=diff
==============================================================================
--- trunk/getfem/doc/sphinx/source/tutorial/wheel.rst   (original)
+++ trunk/getfem/doc/sphinx/source/tutorial/wheel.rst   Fri May 29 16:40:04 2015
@@ -163,10 +163,10 @@
 
 .. math::
 
-  & \ds \int_{\Gamma_c} \lambda_N(X) 
(\delta_{u^1}(X)-\delta_{u^2}(\Pi(X)))\cdot n \\
-  & +  \ds \int_{\Gamma_c} \left(\lambda_N(X) + \left(\lambda_N(X) - 
\Frac{1}{h_T\gamma_0}((X + u^1(X))\cdot n - (\Pi(X) - u^2(\Pi(X)))\cdot 
n\right)_-\right)\delta_{\lambda_N}(X) d\Gamma = 0 ~~~~ \forall 
\delta_{\lambda_N}, \forall \delta_{u^1}, \forall \delta_{u^2},
-
-where :math:`\Gamma_c` is the slave contact boundary, :math:`\lambda_N` is the 
contact multiplier (contact pressure), :math:`h_T` is the radius of the 
element, :math:`\Pi` is the transformation, `n` is the outward normal vector to 
the master contact boundary (here :math:`n = (0,1)`), :math:`gamma_0` is an 
augmentation parameter, :math:`(\cdot)_-:I\hspace{-0.2em}R\rightarrow 
I\hspace{-0.2em}R_+` is the negative part and :math:`\delta_{\lambda_N}, 
\delta_{u^1}, \delta_{u^2}` are the test  functions corresponding to 
:math:`\lambda_N, u^1, u^2`, respectively.
+  & \cdots + \ds \int_{\Gamma_c} \lambda_N(X) 
(\delta_{u^1}(X)-\delta_{u^2}(\Pi(X)))\cdot n d\Gamma \\
+  & -  \ds \int_{\Gamma_c} \left(\lambda_N(X) + \left(\lambda_N(X) - 
\Frac{1}{h_T\gamma_0}((X + u^1(X))\cdot n - (\Pi(X) - u^2(\Pi(X)))\cdot 
n\right)_-\right)\delta_{\lambda_N}(X) d\Gamma = 0 ~~~~ \forall 
\delta_{\lambda_N}, \forall \delta_{u^1}, \forall \delta_{u^2},
+
+where :math:`\Gamma_c` is the slave contact boundary, :math:`\lambda_N` is the 
contact multiplier (contact pressure), :math:`h_T` is the radius of the 
element, :math:`\Pi` is the transformation, `n` is the outward normal vector to 
the master contact boundary (here :math:`n = (0,1)`), :math:`\gamma_0` is an 
augmentation parameter, :math:`(\cdot)_-:I\hspace{-0.2em}R\rightarrow 
I\hspace{-0.2em}R_+` is the negative part and :math:`\delta_{\lambda_N}, 
\delta_{u^1}, \delta_{u^2}` are the test  functions corresponding to 
:math:`\lambda_N, u^1, u^2`, respectively.
 
 Using the high-level generic assembly bricks, the contact condition can be 
added by: