4. Model A results#
4.1. Tested values#
Node |
Size |
Reference |
\(B\) |
|
2.0833 10—3 |
\(v\) |
||
\(w\) |
—2.0833 10—3 |
|
\({\sigma }_{\mathit{zz}}\) |
—1. |
|
\(E\) |
|
0.25 |
\(v\) |
||
\(w\) |
0.25 |
|
\({\sigma }_{\mathit{zz}}\) |
||
\(F\) |
|
0.250521 |
\(v\) |
—0.04166 |
|
\(w\) |
0.0249479 |
|
\({\sigma }_{\mathit{zz}}\) |
—0.5 |
|
\(G\) |
|
0.252083 |
\(v\) |
—0.083333 |
|
\(w\) |
0.247917 |
|
\({\sigma }_{\mathit{zz}}\) |
—1. |
|
\(C\) |
|
|
\(v\) |
||
\(w\) |
||
\({\sigma }_{\mathit{zz}}\) |
||
\(D\) |
|
1.00208 |
\(v\) |
—0.16666 |
|
\(w\) |
0.99791 |
|
\({\sigma }_{\mathit{zz}}\) |
—1. |
4.2. notes#
The analytical solution is found with \(<0.02\text{}\) precision for movements and \(<0.1\text{}\) for constraints.
With a numerical integration formula with 6 points of GAUSS (instead of 3) to calculate the stiffness, we would find the relationship to within \({10}^{\mathrm{-}10}\) (like PERMAS).