v6.03.138 SSNP138 - 2D angled crack with X- FEM#

Summary

The purpose of this test is to validate the calculation of stress intensity factors (\({K}_{I}\) and \({K}_{\mathit{II}}\)) with \(\text{X-FEM}\) [bib1] in \(\mathrm{2D}\), in the context of linear elasticity. This test also aims to test the volume loads of FORCE_INTERNE and PESANTEUR with the \(\text{X-FEM}\) in \(\mathrm{2D}\) method.

This test involves a rectangular plate with an inclined right central crack, and subjected to a tensile load on the lower and upper edges of the plate (models \(A\) \(C\), \(D\), \(E\)) or subjected to a volume force and an embedment on the upper part (modeling \(B\)), or subjected to pressure on the lips (modeling). \(F\)).

Different models are considered:

  1. modeling \(A\): \(\text{X-FEM}\mathrm{2D}\), edge surface loading, cells QUAD4, geometric enrichment

  2. modeling \(B\): \(\text{X-FEM}\mathrm{2D}\), volume loading, cells QUAD4. geometric enrichment

  3. modeling \(C\): \(\text{X-FEM}\mathrm{2D}\), edge surface loading, grid TRIA3, geometric enrichment

  4. modeling \(D\): \(\text{X-FEM}\mathrm{2D}\), edge surface loading, mesh TRIA3, topological enrichment

  5. Modeling \(E\): \(\text{X-FEM}\mathrm{2D}\), edge surface loading, TRIA6 meshes, topological enrichment

  6. modeling \(F\): \(\text{X-FEM}\mathrm{2D}\), lip loading, mesh TRIA3, topological enrichment

The validation focuses on stress intensity factors (\({K}_{I}\) and \({K}_{\mathrm{II}}\)), in comparison with the analytical solution for models \(A\), \(C\), \(D\), \(E\), \(F\) and a non-regression solution for modeling \(B\).