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Beam 2D Internal interpolation remeshing

Author: Vicente Mataix Ferrándiz

Kratos version: 7.1

Source files: Beam 2D Internal interpolation

Case Specification

In this test case,

The following applications of Kratos are used:

  • StructuralMechanicsApplication
  • MeshingApplication with the MMG module

The problem corresponds with a steel cantilever 10x1 and considering as only load self-weight:

Beam.

The simulation considers 10 time steps of 0.01s. The problem will be remeshed each ten steps considering the Hessian of the displacement. The initial mesh corresponds with:

Mesh0

Additionally the following properties have been considered for the CL SmallStrainIsotropicDamage2DVonMisesVonMises:

"Variables": {
    "YOUNG_MODULUS"                        : 2.06900E+11,
    "POISSON_RATIO"                        : 2.90000E-01,
    "THICKNESS"                            : 1.00000,
    "DENSITY"                              : 7.85000E+03,
    "YIELD_STRESS"                         : 2.0e3,
    "SOFTENING_TYPE"                       : 0,
    "FRACTURE_ENERGY"                      : 1.0e6
    }

Results

The mesh obtained conrresponds with:

Mesh1

Having as final result the following damage before remesh:

Result

And just after remesh with LST:

Result

And CPT:

Result

References

Frédéric Alauzet. Metric-Based Anisotropic Mesh Adaptation. Course material, CEA-EDF-INRIA Schools. Numerical Analysis Summer School. https://www.rocq.inria.fr/gamma/Frederic.Alauzet/cours/cirm.pdf

Pascal Tremblay 2-D, 3-D and 4-D Anisotropic Mesh Adaptation for the Time-Continuous Space-Time Finite Element Method with Applications to the Incompressible Navier-Stokes Equations. PhD thesis Ottawa-Carleton Institute for Mechanical and Aerospace Engineering, Department of Mechanical Engineering, University of Ottawa. 2007. http://aix1.uottawa.ca/~ybourg/thesis/PhDThesis_Pascal_Tremblay_Final.pdf