# Diff of /trunk/doc/user/slip.tex

revision 2663 by gross, Tue Sep 15 06:04:44 2009 UTC revision 2690 by gross, Tue Sep 29 05:23:41 2009 UTC
# Line 67  assuming that $s$ is extended by zero aw Line 67  assuming that $s$ is extended by zero aw
67  \begin{eqnarray}\label{Slip general problem 2 }  \begin{eqnarray}\label{Slip general problem 2 }
68  - \sigma^c\hackscore{ij,j}=\frac{1}{2} \sigma^s\hackscore{ij,j}  - \sigma^c\hackscore{ij,j}=\frac{1}{2} \sigma^s\hackscore{ij,j}
69  \end{eqnarray}  \end{eqnarray}
70  Together with the definition~\ref{Slip  stress split 1} we have a differential equation for the  Together with the definition~\ref{Slip  stress split 1 } we have a differential equation for the
71  continuous function $v_i$. Notice that the boundary condition~\ref{Slip constraint}  continuous function $v_i$. Notice that the boundary condition~\ref{Slip constraint}
72  and~\ref{Slip natural fault} transfer to $v_i$ and $\sigma^c\hackscore{ij}$ as  and~\ref{Slip natural fault} transfer to $v_i$ and $\sigma^c\hackscore{ij}$ as
73  $s$ is zero away from the fault. In Section~\ref{ELASTIC CHAP} we have discussed how this problem  $s$ is zero away from the fault. In Section~\ref{ELASTIC CHAP} we have discussed how this problem
82  \end{python}  \end{python}
83  The fault added starts at point $(0.5,0.25)$ has length $0.5$ and is pointing north.  The fault added starts at point $(0.5,0.25)$ has length $0.5$ and is pointing north.
84  The main purpose of the \class{FaultSystem} class is to define a parameterization  The main purpose of the \class{FaultSystem} class is to define a parameterization
85  of the fault using a local coordinate system. One can enquire the class  of the fault using a local coordinate system. One can inquire the class
86  to get the range used to parameterize a fault.  to get the range used to parameterize a fault.
87  \begin{python}  \begin{python}
88  p0,p1= fs.getW0Range(tag=1)  p0,p1= fs.getW0Range(tag=1)
89  \end{python}  \end{python}
90  Typically \var{p0} is equal to zero while \var{p1} is equal to the length of the fault. The parameterization  Typically \var{p0} is equal to zero while \var{p1} is equal to the length of the fault. The parameterization
91  is given as a mapping from a set of local coordinates onto parameter range (in our case  is given as a mapping from a set of local coordinates onto parameter range (in our case
92  the range \var{p0} to \var{p1}). For instance to map the entire domain \var{mydomain} anto the fault  the range \var{p0} to \var{p1}). For instance to map the entire domain \var{mydomain} onto the fault
93  one can use  one can use
94  \begin{python}  \begin{python}
95  x=mydomain.getX()  x=mydomain.getX()

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