The plate has a thickness of 0.6 \(m\). Table 1 presents the coordinates for each point:
Point
X [\(m\)]
Y [\(m\)]
Z [\(m\)]
A
0
1
0.6
B
0
2.75
0.6
C
3.25
0
0.6
D
2
0
0.6
A’
0
1
0
B’
0
2.75
0
C’
3.25
0
0
D’
2
0
0
Table 1: Coordinates of the geometry points
The point B” is located at the middle of edge BB’ while point C” is located at the middle of edge CC’. The curves of edges BC and AD are defined by equations 1 and 2 respectively:
All meshes were computed locally and uploaded to the platform. Table 2 presents the details of the meshes used for each case:
Case
Mesh Type
Number of Nodes
Element Type
A
1st Order Tetrahedral
26639
Standard
B
2nd Order Tetrahedral
194237
Standard
C
1st Order Hexahedral
36
Standard
D
2nd Order Hexahedral
111
Standard
E
1st Order Hexahedral
105
Standard
F
2nd Order Hexahedral
349
Standard
G
2nd Order Hexahedral
52941
Standard
Table 2: Number of mesh nodes and types of elements for each case
Figure 2: Tetrahedral mesh employed for Case B
Figure 3: Hexahedral mesh employed for Case G
Simulation Setup
Material:
Linear Elastic Isotropic:
\( E = \) 210 \( GPa \)
\( \nu = \) 0.3
Boundary Conditions:
Constraints:
Face DCD’C’ with zero y-displacement
Face ABA’B’ with zero x-displacement
Face BCB’C’ with zero y- and x-displacements
Edge B”C” with zero z-displacement
Loads:
Pressure of 1 \(MPa\) applied on face ABCD
Reference Solution
The reference solution as presented in [NAFEMS]\(^1\) is of the numerical type. For the comparison purposes, the normal stress at point D in the direction of the Y axis is taken:
\( \sigma_{ref} = 5.38\ MPa \)
Result Comparison
Comparison of stress \(\sigma_{yy}\) magnitude computed at the location of point D (variable SIYY) from the simulation results is presented with respect to the reference solution \(\sigma_{ref}\):
CASE
\( \sigma_{ref} \) [MPa]
\( \sigma_{YY} \) [MPa]
Error
A
5.38
5.16166
-4.06 %
B
5.38
5.40075
0.39 %
C
5.38
3.98345
-25.96 %
D
5.38
5.47091
1.69 %
E
5.38
5.10811
-5.05 %
F
5.38
5.71058
6.14 %
G
5.38
5.38599
0.11 %
Table 3: Point D stress results comparison
The von Mises stress color plot is presented for the results of case G:
Figure 4: Von Mises stress result contours from case B
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