v4.05.301 TPLP301 - Square plate with imposed temperature distributed sinusoidally

Summary:

This test is the result of the independent validation of version 3 in linear stationary heat.

This is a \(\mathrm{2D}\) plane problem represented by two models, one plane, the second shell.

The features tested are as follows:

• flat thermal element,

• shell thermal element,

• limit conditions: sinusoidal distribution of the imposed temperature

The results are compared with an analytical solution.

• 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 used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Uncertainty about the solution
  • 2.4. References
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. notes
  • 3.4. Tested sizes and results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. notes
  • 4.4. Tested sizes and results
• 5. Summary of results