v4.23.101 TTLP101 - Plate cracked at imposed temperatures with the condition of exchange through the lips of the crack

Summary

This test involves a square plate with a straight through crack, subject to a temperature gradient. A heat exchange takes place between the lips of the crack (keyword factor ECHANGE_PAROI of operators AFFE_CHAR_THER and AFFE_CHAR_THER_F [U4.44.02]).

Three models are considered:

• modeling \(A\): \(\text{FEM}\mathrm{2D}\) (mesh crack)

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

• modeling \(C\): \(\text{X-FEM}\mathrm{3D}\), 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. Benchmark solution
  • 2.1. Calculation method
  • 2.2. Reference quantities and results
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
• 4. Modeling B: non-meshed crack in dimension 2
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
• 5. C modeling: non-meshed crack in 3D
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
• 6. Summaries of results