# 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.

## 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 |

## 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 |