Patch Test C - GCMLab/GCMLab-FEM GitHub Wiki
This patch test applies constant tensile stress to a domain.

Nine Q4 elements used.
| Parameter | Symbol | Value |
|---|---|---|
| Young's Modulus | E | 2540 kPa |
| Poisson's Ratio | nu | 0.3 |
| Applied Traction | t | 3.495 kPa |
Plane stress conditions applied
A uniform traction of t is applied to the right and top edges of the domain through nodal forces. Top edge nodes: 3, 4, 8 Right edge nodes: 2, 3, 6, 7
Nodes on the left and bottom edges are restrained. Left edge nodes: 1, 4, 9, 10 Bottom edge nodes: 1, 2, 5

The total horizontal reaction force is 8.0385 N/m. The total vertical reaction force is 5.06775 N/m. The stress components are in the x- and y-directions are 3.495 kPa and there is no shear stress.
| Node | x (m) | y (m) | Force X (N) | Force Y (N) | Displacement x (m) | Displacement y (m) |
|---|---|---|---|---|---|---|
| 1 | 0 | 0 | -1.33975 | -1.26694 | 0.00000 | 0.00000 |
| 2 | 1.45 | 0 | 1.33975 | -1.26694 | 0.00140 | 0.00000 |
| 3 | 1.45 | 2.3 | 1.33975 | 1.26694 | 0.00140 | 0.00222 |
| 4 | 0 | 2.3 | -1.33975 | 1.26694 | 0.00000 | 0.00222 |
| 5 | 0.725 | 0 | 0 | -2.53388 | 0.00070 | 0.00000 |
| 6 | 1.45 | 0.7667 | 2.6795 | 0 | 0.00140 | 0.00074 |
| 7 | 1.45 | 1.5333 | 2.6795 | 0 | 0.00140 | 0.00148 |
| 8 | 0.725 | 2.3 | 0 | 2.53388 | 0.00070 | 0.00222 |
| 9 | 0 | 1.5333 | -2.6795 | 0 | 0.00000 | 0.00148 |
| 10 | 0 | 0.7667 | -2.6795 | 0 | 0.00000 | 0.00074 |
| 11 | 0.7866 | 1.1018 | 0 | 0 | 0.00076 | 0.00106 |
| 12 | 0.4513 | 1.6262 | 0 | 0 | 0.00043 | 0.00157 |
| 13 | 0.8677 | 0.5081 | 0 | 0 | 0.00084 | 0.00049 |
| 14 | 1.0304 | 1.6240 | 0 | 0 | 0.00099 | 0.00156 |
| 15 | 0.5993 | 0.4069 | 0 | 0 | 0.00058 | 0.00039 |