v3.04.139 SSLV139 - Buckling of a circular plate subjected to a compression force uniformly distributed around its contour

Summary:

This test represents a calculation of the stability of a circular plate subjected to a compression force uniformly distributed over its contour. We determine the critical load leading to Euler elastic buckling and the associated modal deformation.

This test validates modeling AXIS_FOURIER for linear buckling with cells QUAD8 and TRIA6 (circumferential mode equal to zero), and modeling AXIS with meshes QUAD8.

The critical load obtained is compared to an analytical reference solution.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Initial conditions
• 2. Benchmark solution
  • 2.1. Calculation method
  • 2.2. Reference quantities and results
  • 2.3. Uncertainty about the solution
  • 2.4. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
  • 3.4. notes
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
  • 4.4. notes
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
  • 5.4. notes
• 6. Summary of results