/[escript]/trunk/doc/user/Models.tex
ViewVC logotype

Diff of /trunk/doc/user/Models.tex

Parent Directory Parent Directory | Revision Log Revision Log | View Patch Patch

revision 1811 by ksteube, Thu Sep 25 23:11:13 2008 UTC revision 1841 by gross, Fri Oct 3 03:57:52 2008 UTC
# Line 107  Rayleigh-Taylor instability problem Line 107  Rayleigh-Taylor instability problem
107    
108  \section{Drucker Prager Model}  \section{Drucker Prager Model}
109    
110  \section{Plate Mantel}  \section{Isotropic Kelvin Material \label{IKM}}
111    
112    
113    
114    \begin{equation}\label{IKM-EQU-2}
115    D_{ij}=D_{ij}^{el}+D_{ij}^{vp}
116    \end{equation}
117    with the elastic stretching
118    \begin{equation}\label{IKM-EQU-3}
119    D_{ij}^{el}=\frac{2 \mu} \sigma'_{ij}
120    \end{equation}
121    \begin{equation}\label{IKM-EQU-4}
122    D_{ij}^{vp}=\sum_{q} D_{ij}^{q}
123    \end{equation}
124    \begin{equation}\label{IKM-EQU-5}
125    D_{ij}^{q}=\frac{1}{2 \eta^{q}} \sigma'_{ij} \mbox{ with } \eta^{q}=\eta^{q}_N \left(\frac{\tau}{\tau_t^q}\right){\frac{1}{n^{q}}-1}
126    \end{equation}
127    After inserting equation~\ref{IKM-EQU-5} into equation \ref{IKM-EQU-4} one gets:
128    \begin{equation}\label{IKM-EQU-4}
129    D_{ij}^{vp}=\frac{1}{2 \eta^{vp}} \sigma'_{ij}
130    \end{equation}
131    
132    
133    \begin{equation}\label{IKM-EQU-1}
134    -\sigma'_{ij,j}+p_j=F_j
135    \end{equation}
136    
137    \begin{equation}\label{IKM-EQU-2}
138    -v_{i,i}=0
139    \end{equation}
140    
141    \begin{equation}\label{IKM-EQU-3}
142    \sigma_{ij}=\sigma'_{ij,j}-\frac{1}{d} p \delta_{ij}
143    \end{equation}

Legend:
Removed from v.1811  
changed lines
  Added in v.1841

  ViewVC Help
Powered by ViewVC 1.1.26