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() |