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A stress singularity at a re-entrant corner in a finite element model

  • A.It does not converge with refinement
  • B.Converges quickly to the true value
  • C.Indicates an error in the applied loads
  • D.Can be removed by using coarser elements

Answer: A

The elasticity solution is genuinely unbounded at a sharp re-entrant corner, so refining the mesh simply produces a larger number. The real structure has a fillet, and either the fillet must be modelled or the result interpreted through a different method.

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