1.4: Stress Concentration in Plate with Hole¶
Geometry and Boundary Conditions¶
Loading: A uniform unit pressure load
Material¶
Isotropic (stress will be the same irrespective of material)
Results¶
From reference [6]
Stress concentration factor Kt = 2.233 based on equation below (d is hole diameter and W is plate width):
Theoretical stress concentration value using the formula in [6] = 3.72 Pa
Stress Concentration (Sigma_xx, in Pa)¶
Num of Elements |
Theory [6] |
Intact Direct Solver [%Error] |
Intact Iterative Solver [%Error] |
Time (s) to solve with <3% error |
|---|---|---|---|---|
10K |
3.72 |
3.34 [10.09%] |
3.34 [10.09%] |
|
50K |
3.72 |
3.55 [4.47%] |
3.55 [4.47%] |
|
100K |
3.72 |
3.62 [2.61%] |
3.69 [2.56%] |
Direct: 7.8 / Iterative: 66 |