Model definition

Benchmark aim

The aim of this study is to compare the results from a static analysis performed in CalculiX, Code_Aster and Elmer Finite-Element codes. A thick plate geometry will be used to measure the software performance. The model described in this report was created on a basis of the article found in this link.

The aim of this benchmark is to examine the \(u_x\) of the shell at the point A. The target solution at this point is expected to be equal to 0.185 m.

Simulation input files used in this study can be found on our GitHub!


The benchmark geometry shown above is interactive and shows \(u_x\) in [m].

Hemispherical shell point load benchmark

Fig. 20 Hemispherical shell point load benchmark

Material properties

The table below presents all the material properties that were used in the study. These properties aim to reproduce the behaviour of steel material.




Young’s modulus, E

\(68.25 \cdot 10^{9}\)


Poisson’s ratio, \(\nu\)



Boundary conditions

  • symmetry along edge AE,

  • symmetry along edge CE,

  • \(u_x=u_y=u_z=0\) at point E.


  • radial outward force of 2000 N at point A,

  • radial inward force of 2000 N at point C,