v3.03.110 SSLS110 - Stability of a compressed square plate

Summary:

A homogeneous isotropic linear elastic square plate simply supported on its four sides is subjected to a linear compression force acting on two of its sides.

The critical loads leading to the elastic buckling of the plate are calculated. The geometric rigidity matrix used in solving the eigenvalue problem is the one that is due to the initial constraints.

• linear elastic mechanics,

• buckling of a shell,

• interest of the test: calculation of the geometric rigidity matrix of the elements DKT, DKTG and COQUE_3D,

• 6 models.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. notes
• 2. Benchmark solution
  • 2.1. Benchmark solution
  • 2.2. Benchmark 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 values
  • 3.4. notes
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested values
  • 4.4. notes
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested values
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested values
• 7. E modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Tested values
• 8. Summary of results