v7.01.100 HPLA100 - Thermoelastic hollow cylinder weighing in uniform rotation

Summary

The purpose of this test is to test the corresponding second members to the effects of gravity, thermal expansion and acceleration due to uniform rotation. For models \(C\) and \(D\) (shell \(\mathrm{3D}\)), a chained thermo-elastic calculation and a thermoelastoplastic calculation without plastic evolution were carried out.

The results for the models are presented:

• \(\mathrm{2D}\) axisymmetric: axisymmetric isoparametric finite elements on QUAD8 meshes,

• axisymmetric shells: axisymmetric isoparametric finite elements on SEG3 cells (linear mesh of the meridian section),

• shells \(\mathrm{3D}\): finite elements MEC3QU9H, MEC3TR7H on meshes QUAD9 and TRIA7, respectively,

• plates \(\mathrm{DKT}\): plane finite elements DKQ, DKT on meshes QUAD4 and TRIA3, respectively. We also test the orthotropic shells of DEFI_COMPOSITE for two layers of the same isotropic material and the keyword ELAS_COQU of DEFI_MATERIAU for the assignment of characteristics of homogenized plates.

• 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. Reference quantity
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Boundary conditions while on the go
  • 3.4. Model A results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Boundary conditions in movement and rotation
  • 4.4. B modeling results
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Boundary conditions in movement and rotation
  • 5.4. C modeling results
  • 5.5. notes
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Boundary conditions in movement and rotation
  • 6.4. Tested values
  • 6.5. notes
• 7. E modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Boundary conditions in movement and rotation
  • 7.4. E modeling results
• 8. F modeling
  • 8.1. Characteristics of modeling
  • 8.2. Characteristics of the mesh
  • 8.3. Boundary conditions in movement and rotation
  • 8.4. F modeling results
• 9. G modeling
  • 9.1. Characteristics of modeling
  • 9.2. Characteristics of the mesh
  • 9.3. Boundary conditions in movement and rotation
  • 9.4. G modeling results
• 10. H modeling
  • 10.1. Characteristics of modeling
  • 10.2. Characteristics of the mesh
  • 10.3. Boundary conditions in movement and rotation
  • 10.4. H modeling results
• 11. Modeling I
  • 11.1. Characteristics of modeling
  • 11.2. Characteristics of the mesh
  • 11.3. Boundary conditions in movement and rotation
  • 11.4. Modelling results I
• 12. J modeling
  • 12.1. Characteristics of modeling
  • 12.2. Characteristics of the mesh
  • 12.3. Boundary conditions in movement and rotation
  • 12.4. J modeling results
• 13. K modeling
  • 13.1. Characteristics of modeling
  • 13.2. Characteristics of the mesh
  • 13.3. Boundary conditions in movement and rotation
  • 13.4. K modeling results
• 14. Summary of results
• 15. Appendix
  • 15.1. Uniform rotation loading around \(\mathrm{OZ}\)
  • 15.2. Gravity loading
  • 15.3. Thermomechanical loading