Results¶
Number of simulations with different element types and mesh size have been performed for the eliptic membrane model.
Conclusions¶
A few conclusions can be derived from the presented study:
It is possible to perform a plane stress analysis with pressure loading condition using open-source software and achieve a correct solution. In the current study, all solvers allow to obtain a stress value close to the target of \(\sigma_{yy}=92.7 MPa\).
It can be seen that Calculix and Code_Aster generally provided similar output, with CalculiX being a slightly more precise in finer meshes.
Except of quadratic triangular meshes and fine quadratic quadrilateral mesh, Elmer was converging faster than others FE codes.

Fig. 17 Results obtained with Calculix software and quadratic hexahedral mesh¶
Linear triangular mesh¶
Solver |
Coarse Mesh |
Fine Mesh |
---|---|---|
CalculiX |
33.79 MPa |
54.84 MPa |
Code_Aster |
33.58 MPa |
54.88 MPa |
Elmer |
39.37 MPa |
65.19 MPa |
Quadratic triangular mesh¶
Solver |
Coarse Mesh |
Fine Mesh |
---|---|---|
CalculiX |
73.09 MPa |
88.42 MPa |
Code_Aster |
73.13 MPa |
88.33 MPa |
Elmer |
69.26 MPa |
85.46 MPa |

Fig. 18 Graph representing results of the simulation with triangular mesh¶
Linear quadrilateral mesh¶
Solver |
Coarse Mesh |
Fine Mesh |
---|---|---|
CalculiX |
69.62 MPa |
85.55 MPa |
Code_Aster |
70.49 MPa |
85.40 MPa |
Elmer |
75.33 MPa |
86.91 MPa |