Plate With Hole

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Plane Frame 1

Step

00

2-D Linear Static Analysis

Model

- 1/4 symmetric Model

- Unit: N, mm

- Isotropic Elastic Material

- Membrane

Loads and Boundary

Conditions

- Edge Pressure

- Constraint (Symmetric)

Results Verification

-

Displacement/Deformation

- Probe Result

Plate with a Hole

¼

Model

Summary

Summary

Plane Frame 2

Step

00 Problem

Plane Frame 3

Step

This problem has 2 planes of symmetry, so we will cut the model in 2 in order

to:

-Reduce the size of the problem

-Reduce model time

-Introduce a blocking of movement of this plate which is only submitted to

pressure load

00 Problem reduction due to symmetry

Plane Frame 17

Step

17

Total Solutions for True Analysis-driven Design

Analysis of results

Plane Frame 18

Step

18

Total Solutions for True Analysis-driven Design

Comparison for different mesh sizes and types

Plane Frame 19

Step

19

Total Solutions for True Analysis-driven Design

We will use 2 types of mesh:

-Linear Triangle mesh (TRI3) has 3 nodes/element

-Quadratic Triangle mesh has 6 nodes/element

Linear and quadratic elements

Plane Frame 20

Step

20

Total Solutions for True Analysis-driven Design

Results for linear triangle elements

Plane Frame 21

Step

21

Total Solutions for True Analysis-driven Design

Results for quadratic triangle elements

Plane Frame 22

Step

22

Total Solutions for True Analysis-driven Design

Comparison between triangle elements

Plane Frame 23

Step

23

Total Solutions for True Analysis-driven Design

Comparison between quad elements

Plane Frame 24

Step

24

Total Solutions for True Analysis-driven Design

Results for linear triangle elements

Plane Frame 25

Step

25

Total Solutions for True Analysis-driven Design

Results for quadratic triangle elements

Plane Frame 26

Step

26

Total Solutions for True Analysis-driven Design

Comparison between triangle elements

Plane Frame 27

Step

27

Total Solutions for True Analysis-driven Design

Meshing adapted to the geometry

To get better accuracy and be efficient (less number of elements), use adapted mesh

Plane Frame 28

Step

28

Total Solutions for True Analysis-driven Design

Conclusion

-Always prefer linear quad elements to linear triangle elements

-To get superior accuracy for ordinary displacement analysis, use 2nd order

triangle elements

-For stress analysis, linear elements converge more slowly than for simple

displacement analysis

-> When performing stress analysis, always use 2nd order elements

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