Case 1B Plate With Hole (Quadratic Lines)

 

This example considers a plate with a hole.  Quarter symmetry is used so that only one quarter of the plate is represented.  The dimensions are; Half width = 3 , Half height = 5, Radius = 1.  The geometry is defined by 8 points, with the circumference of the hole represented by two quadratic curves, each defined by three nodes.

 

HM_mesh_001_04

 

Data File

 

 

! Quadratic Line Definition

* Geometry_line  NUM=5

 line_type      2    

 points     IDM=3

   5 8 7  

 

* Geometry_line  NUM=6

 line_type      2    

 points     IDM=3

   7 6 1  

 

! Surface Definition

* Geometry_surface NUM=1

 lines      IDM=6

   1  2  3  4  5  6

 

Eight points are defined with coordinates:

Point

X-Coordinate

Y-Coordinate

Z-Coordinate

1

1.000

0.000

0.000

2

3.000

0.000

0.000

3

3.000

5.000

0.000

4

0.000

5.000

0.000

5

0.000

1.000

0.000

6

0.924

0.383

0.000

7

0.707

0.707

0.000

8

0.383

0.924

0.000

 

Lines 1-4 are linear lines (type 1) defined by 2 nodes

Lines 5 and 6 are quadratic (type=2) defined by 3 nodes

The surface is defined by 6 lines

 

The generated mesh for a constant element size of 0.2 is shown below

HM_mesh_001_05

Mesh for Constant Element Size = 0.2

 

The data  and result files for the project are in directory: mesh_001\Exercises\Case 1B