v7.22.121 HSNV121 - Traction in large plastic deformations of a bar under thermal loading

Summary:

This semi-static thermomechanical test consists in uniformly heating a bar with a rectangular (\(\mathrm{3D}\)) or cylindrical (\(\mathrm{2D}\) axisymmetric) cross section and then subjecting it to traction. We thus validate the kinematics of large deformations in plasticity (command STAT_NON_LINE, keyword DEFORMATION: “SIMO_MIEHE” or “PETIT_REAC”) for a behavior relationship under large deformations with linear isotropic work hardening (command STAT_NON_LINE, keyword RELATION: “VMIS_ISOT_LINE” and “VMIS_ISOT_TRAC”) with thermomechanical loading. With shell or plate models, large plasticity deformations are accessible using the keyword DEFORMATION: “PETIT_REAC” as long as the rotations remain low.

The bar is modeled by a solid element (HEXA20, ModelingA) or quadrangular element (QUAD4, for axisymmetric modeling, ModelB) or by plate or shell elements (DKT for modeling C) or by elements of a plate or shell (for modeling C and COQUE_3D for modeling D).

The solution is analytical.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Reference solution
  • 2.1. Result of the reference 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 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. Tested sizes and results
• 7. F modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Tested sizes and results
• 8. G modeling
  • 8.1. Characteristics of modeling
  • 8.2. Characteristics of the mesh
  • 8.3. Tested sizes and results
• 9. Summary of results