v2.04.130 SDLV130 - Cracked 3D plate subjected to a loading in Mode I. Validating the modal calculation with X- FEM

Summary:

This test case validates the modal calculation for a plate \(\mathrm{3D}\) having a crack introduced by the X- FEM method. In particular, we validate the newly developed options RIGI_MECA, MASS_MECA and RIGI_GEOM for an X- FEM model. The plate has a horizontal and flat through crack, boundary conditions are applied at 3 points to prevent rigid body modes, and pressure loading is applied to the lower and upper faces in order to open the crack in \(I\) mode.

The reference solution, which is the subject of modeling A, is calculated by*Code_Aster* using the similar model with the meshed crack in a conventional manner. The first 8 natural modes are calculated and their natural frequencies are compared.

The operation of post-processing commands for visualizing a mode_meca result calculated with an X- FEM model is also tested.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
  • 4.4. notes
• 5. Summary of results