Week 1 Stress Concentration on a Plate with hole
Stress Concentration on a Plate with hole
Case 1
For Case 1, Static Structural Analysis has been undertaken with a plate with a single hole of diameter 60mm. The material here used is Stainless Steel.
The Plate is modeled using Ansys Design Modeler.
The Dimensions of the plate are
Length=300mm
Height=120mm
Thickness=30mm
Circular Hole at the center: Diameter=60mm.
The Properties of the material used are mentioned below:
Mesh Details
The part which has modeled above has meshed with the element size of 2.0 mm and a patch conforming method using tetrahedrons was allowed.
Mesh Metrics:
- Element quality.
The Element quality option provides a composite quality metric that ranges between 0 and 1 and this metric is based on the ratio of the volume (or area) to the square of the edge length.
So a Value of 1 indicates a perfect cube or square or triangle or hexagon or quad while a Value of 0 indicates that the element has a zero or negative volume
By Comparing the results we conclude that our element quality is in midst of 0 to 1 which is suggested as best suitable and not less than 0.
Boundary Conditions
Let us apply the Boundary conditions as one end fixed and the other end applying a tensile load of 2500 N
Simulation Results
Total Deformation
Equivalent Stress
Case 2
For Case 2, Static structural analysis is applied on the same plate with additional two holes of 30 mm diameter placed 90 mm away from the origin on either side. The 3D object modeled in the design modeler is described below.
Mesh Details
The part which has modeled above has meshed with the element size of 2.0 mm and a patch conforming method using tetrahedrons was allowed.
Mesh Metrics
Element Quality
By Comparing the results we conclude that our element quality is in midst of 0 to 1 which is suggested as best suitable and not less than 0.
Boundary Conditions
Let us apply the Boundary conditions as one end fixed and the other end applying a tensile load of 2500 N
Simulation Results
Total Deformation
Equivalent stress
Results
|
Total Deformation |
||||
|
Model |
Time |
Minimum (Mpa) |
Maximum (Mpa) |
Average (Mpa) |
|
Case1: Plate with one Hole |
0 |
0.0014239 |
0.00071588 |
|
|
Case 2: Plate with two Holes |
0 |
0.0015398 |
0.00075330 |
|
|
Equivalent Stress |
||||
|
Model |
Time |
Minimum (Mpa) |
Maximum (Mpa) |
Average (Mpa) |
|
Case1: Plate with one Hole |
0.039438 |
3.0308 |
0.86776 |
|
|
Case2: Plate with two Holes |
0.0046228 |
2.9182 |
0.85567 |
|
Conclusion
The analysis had solved satisfactorily as the simulations for the 2 cases are analyzed specifically. The mesh size is considerably reduced and assigned as 2.0 mm since the material is a linear one which doesn’t have complex shapes for our consideration.
When comparing the Total Deformation on both cases of plates, Case 1 shows less deformation when compared to Case 2. Accordingly, on analyzing the Stress in both cases there is a meager amount of difference in maximum value for both cases hence for the analysis part we consider Case 2 has fewer stresses acting on it when compared to Case1. So, from the analysis point of view, we can opt for Case1 as the best Choice.
From the Manufacturing Point of view, I assuredly select Case1, because in the strength of materials whenever a force is applied to the material the smaller and weaker cross-sectional area is going to be first deformed since there are fewer stresses acting on it. In our Case1of plate with one hole the maximum stress and deformation occur near the circle area which we clearly observed.
If we select Case2 of Plate with two holes the deformation and stresses are acting on 3 cross-sections which makes the material more vulnerable and there are chances of fracture or failure at larger loading conditions. Hence to make our component withstand larger loading conditions and maximum life cycle of operations it is best to go for Case1 of a plate with one hole.