v6.04.115 SSNV115 - Corrugated sheet metal in non-linear behavior

Summary:

This problem validates the law of elasto-plastic behavior with the Von Misès criterion for isotropic linear work hardening for models of plates [R3.07.03] and solid shells [R3.07.04] where membrane and flexure effects are also important.

The geometry of the model respects 3 constraints:

• the thickness is small to respect the hypothesis of thin shells,

• the problem must be in plane deformation according to \(\mathrm{Oz}\),

• the curvature according to \(\mathrm{Oy}\) is chosen so that the « flexure » and the « membrane » are both significant.

There is no analytical solution. Modeling A (2D D_ PLAN) is used as a reference. The test has no physical significance and the values of the displacements obtained are very significant compared to the dimensions of the initial structure. This test is therefore rather a test of non-regression and inter-model comparison.

The results (while moving) differ by 2 to 3% between the plate models and the 2D reference. This difference is reduced to 0.5% between the solid shell models and the 2D reference.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Uncertainty about the solution
• 3. Bibliography
• 4. Modeling A
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested values
• 5. B modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested values
• 6. C modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested values
• 7. D modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Tested values
• 8. Modeling E
  • 8.1. Characteristics of modeling
  • 8.2. Characteristics of the mesh
  • 8.3. Tested values
• 9. Summary of results