v6.04.138 SSNV138 - Cantilever plate in large rotations subjected to a moment

Summary:

Quasi-static calculation of an elastic plate embedded on one side and subjected to a moment of bending on the other side, leading to large rotations of the plate.

Interest:

Test geometric nonlinear finite elements COQUE_3D (A and C models), DKT (A and C models), (E and F models), DKTG (G and H models), and POU_D_T_GD (B modeling) using the large rotation update algorithm \(\mathrm{3D}\) GROT_GDEP in STAT_NON_LINE.

Also compare the results to the finite element of multi-fiber girder POU_D_TGM, which makes it possible to treat large rotations under the assumption of small loading increments.

Note:

This test is the plate version of the beam test case SSNL103. The mechanical characteristics have been modified in order to support surface modeling.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties and cross-section characteristics
  • 1.3. Boundary conditions and loading
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Bibliographical references
• 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
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Characteristics of the cross section mesh
  • 6.4. Tested sizes and results
• 7. Modeling E
  • 7.1. Characteristics of modeling
  • 7.2. Tested sizes and results
• 8. F modeling
  • 8.1. Characteristics of modeling
  • 8.2. Characteristics of the mesh
  • 8.3. Tested sizes and results
• 9. G modeling
  • 9.1. Characteristics of modeling
  • 9.2. Characteristics of the mesh
  • 9.3. Tested sizes and results
• 10. H modeling
  • 10.1. Characteristics of modeling
  • 10.2. Characteristics of the mesh
  • 10.3. Tested sizes and results
• 11. Modeling I
  • 11.1. Characteristics of modeling
  • 11.2. Characteristics of the mesh
  • 11.3. Tested sizes and results
• 12. Summary of results