The solution to the problem of plate with a central circular hole subjected to far-field tension is known from the Theory of Elasticity as presented here.
Two-dimensional stress analysis is performed with the free and open-source finite element analysis software CalculiX.
| File | Contents |
|---|---|
| plate_with_hole_2D_pre.fbd | Pre-processing script for CalculiX GraphiX |
| plate_with_hole_2D.inp | CalculiX input |
| plate_with_hole_2D_post.fbd | Post-processing script for CalculiX GraphiX |
| plate_with_hole_2D_py.py | Python script to run CalculiX files |
A parametric pre-processing script is written for CalculiX GraphiX (plate_with_hole_2D_pre.fbd). The geometry is created and meshed using the defined parameter values. Only a quarter of the plate is modelled with symmetry boundary conditions applied at relevant faces.
Figure Two-dimensional finite element model of the plate with hole.
Figure Close-up view of the hole.
In CalculiX, the plate is modelled using plane stress elements.
An input file is written to run the two-dimensional disk model in CalculiX (plate_with_hole_2D.inp).
A post-processing script is written for CalculiX GraphiX (plate_with_hole_2D_post.fbd).
Figure Stress plot at the hole.