Case 1B Plate With Hole (Quadratic Lines)

Contents

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