next up previous
Next: References Up: Paper Mechanics: Strain Distributions Previous: Stochastic Strain Model

Model Random Network

The uniform stochastic stress theory was tested using a model random network made from rubber fibres, subjected to tensile loading. Here we summarise the findings; more details can be found in Deng and Dodson [4].


Characteristic long tail towards large strains,
some compressed segments.


 
Figure 13: Distribution of fibre segment axial strains $\epsilon$
\begin{figure} \begin{center} \begin{picture} (500,400)(0,0) \put(-30,-200){\spe... ...n$} \put(-20,200){\large\bf $P(\epsilon)$}\end{picture}\end{center}\end{figure}




Approximately Gaussian shape,
some compressed zones


 
Figure 14: Distribution of local areal dilatation
\begin{figure} \begin{center} \begin{picture} (500,400)(0,0) \put(-30,-200){\spe... ...put(-30,150){\large\bf $P(\tilde{\Delta})$}\end{picture}\end{center}\end{figure}




Regression slope and scatter predicted by
uniform stochastic stress model.




Similar results from VIC measurements
on paper.


 
Figure 15: Measurements of $\tilde{\beta},$ $\tilde{\Delta},$ regression and theoretical line
\begin{figure} \begin{picture} (500,400)(0,0) \put(-28,-200){\special{psfile=PAP... ...$\tilde{\beta}$} \put(0,190){\large $\tilde{\Delta} $}\end{picture}\end{figure}


C.T.J. Dodson
11/26/1998