v7.20.106 HSNA106 — Model META_LEMA_ANI: full cylinder in single pull with variable temperature

Summary:

This almost static thermomechanical test consists in uniformly heating a cylindrical bar (\(\mathrm{2D}\) axisymmetric) and then subjecting it to traction.

The bar is represented by a quadrangular axisymmetric element QUAD4. It is modelled 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).

Model META_LEMA_ANI has two different thermal expansion coefficients for the cold phase a and the hot phase b. In the most general case, the expansion is calculated by a law of mixtures. Here, we place ourselves in the case where there is 100% phase b and we test the calculation of thermal expansion.

Thermomechanical loading is carried out by imposed displacement and by imposing an increasing temperature. We must then obtain the same answer for both models A and B.

• 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. Summary of results