v1.01.340 ZZZZ340 — Validating the TEMP_CONTINUE keyword for AFFE_CHAR_THER

Summary

This test validates the keyword TEMP_CONTINUE from the ECHANGE_PAROI factor keyword from the AFFE_CHAR_THER and AFFE_CHAR_THER_F [U4.44.02] operators. This keyword only concerns the X- FEM models, and leads to the cancellation of all the enriched degrees of freedom (« Heaviside » and « crack-tip ») corresponding to the presence of cracks given by the user under the FISSURE keyword. Setting these degrees of freedom to zero amounts to solving the heat equation in a domain that does not include these cracks.

We validate this functionality on a simple problem of stationary linear thermal in dimension 2. We consider a square plate at a fixed temperature, comprising a straight through crack arranged in the direction orthogonal to the temperature gradient. The use of the TEMP_CONTINUE keyword makes it possible not to take into account the discontinuity of the temperature field through this crack and to reduce oneself to the resolution of the « healthy » problem, the latter admitting an analytical solution.

In this test, we also validate the calculation of the temperature gradient at the Gauss points of the elements X- FEM in the THER_LINEAIRE operator (field TEMP_ELGA).

We only consider one model:

• modeling \(A\): \(\text{X-FEM}\mathrm{2D}\) (crack in the middle of the elements)

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Initial conditions
• 2. Reference solution
  • 2.1. Calculation method
  • 2.2. Reference quantities and results
• 3. Modeling A: non-meshed crack in dimension 2
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
• 4. Summaries of results