v3.04.113 SSLV113 - Error estimator on a bi-material hollow cylinder

Summary:

This test validates the pure residue error estimator, applied to 2D linear elasticity, in static terms. We consider a hollow cylinder made of two materials and subjected to internal and external pressures.

The 2 models are axisymmetric, on quadrangles with 8 knots.

The advantage of the test lies in the comparison between the exact and calculated constraints, on the one hand, the estimated error and the exact error, on the other hand. This test also makes it possible to show the validity of the residue estimator on a bimaterial structure, unlike the Zhu-Zienkiewicz estimator, which is not applicable to structures with discontinuities in the stress field (here at the material interface).

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Uncertainty about the solution
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested results and sizes
  • 3.4. notes
  • 3.5. notes
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested results and sizes
  • 4.4. note
• 5. Summary of results