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:

  1. 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 \(\sigma_{yy}=92.7 MPa\).

  2. It can be seen that Calculix and Code_Aster generally provided similar output, with CalculiX being a slightly more precise in finer meshes.

  3. Except of quadratic triangular meshes and fine quadratic quadrilateral mesh, Elmer was converging faster than others FE codes.

Calculix eliptic membrane results

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

Triangular eliptic plate mesh comparison

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

Quadratic quadrilateral mesh

Solver

Coarse Mesh

Fine Mesh

CalculiX

85.85 MPa

92.99 MPa

Code_Aster

87 MPa

92.21 MPa

Elmer

89.65 MPa

93.78 MPa

Quadrilateral eliptic plate mesh comparison

Fig. 19 Graph representing results of the simulation with quadrilateral mesh