v7.22.136 HSNV136 - Degeneration of the META_LEMA_ANI model into Norton’s law: simple traction in large deformations

Summary:

This test consists in subjecting a cylindrical bar whose behavior is viscoplastic to traction along its axis, by modeling it in two different but equivalent ways: either with model META_LEMA_ANI, which is « degenerated » into a Norton law by choosing the coefficients wisely (modeling A), or with a Norton law proper (modeling B).

The loading is done with imposed displacement and requires the geometry to be updated (large deformations, keyword PETIT_REAC). We must then obtain the same answer for both models A and B.

In addition, C modeling is introduced in order to validate large logarithmic deformations (keyword GDEF_LOG) for this behavior.

Finally, the D modeling makes it possible to validate the taking into account by the SIMU_POINT_MAT command of metallurgical data with the META_LEMA_ANI law.

The bar is modelled by a quadrangular element QUAD4, axisymmetrically.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
• 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. Summary of results