6. Summary of results

The results are of good quality if we consider that they are compared to an analytical solution and that the meshes used are not particularly fine.

The best solution is given by F modeling (continuous algorithm) which uses quadratic elements with quadratic projection (without using this projection, the results are false). Next comes the H modeling which, like the previous one, uses the continuous algorithm but with linear elements and with master-slave pairing. Finally, modeling D using the penalization algorithm gives acceptable results. Note that convergence with this algorithm is much slower and more difficult.

If we examine the extent of the contact surface using the printout of the data structure CONT_NOEU (see results file), we see that it is given very precisely (60°). With regard to the adherent surface, the algorithms return an acceptable value of the order of 30° instead of 26.2° analytically.