Why Bazand Crack Band approach solves zero energy dissipation with mesh density reduction.

Description

Bazand crack band approach models crack growth without the convergence towards zero energy dissipation. It says other models with strain softening can have severe mesh dependency and tend to zero energy dissipation- when the element size is reduced.
Abraham Mathews
Mind Map by Abraham Mathews, updated more than 1 year ago
Abraham Mathews
Created by Abraham Mathews almost 2 years ago
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Resource summary

Why Bazand Crack Band approach solves zero energy dissipation with mesh density reduction.
  1. Strain softening
    1. Behaviour of material as the material stress decreases as stress increases, post "peak stress"
      1. Models degradation of materials during damage/crack formation
      2. Mesh dependencies
        1. Mesh
          1. Discretisation of material into small elements through numerical simulation
          2. Mesh dependency
            1. Results of simulation depends on size of elements
          3. Zero energy dissipation problem
            1. Caused by finer mesh
              1. Energy dissipation during a crack growth approaches zero
                1. If energy required to propagate crack is ZERO, the model is no longer realistic.
              2. Energy dissipation
                1. Energy consumed to break material
                  1. Related to fracture toughness of material.
                2. Bazand Crack band
                  1. Fracture energy is spread over a FINITE band width (crack band)
                    1. independant to mesh size.
                      1. energy dissipation is no longer a problem with finer mesh.
                      2. rather than a single point
                      3. resolves zero energy dissipation
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