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Assertion (A): A stress singularity at a sharp re-entrant corner does not converge with mesh refinement.

Reason (R): The elasticity solution is genuinely unbounded at such a corner.

Select the correct answer from the options below.

  • A.A is false but R is true
  • B.Both A and R are true, and R is the correct explanation of A
  • C.Both A and R are true, but R is not the correct explanation of A
  • D.A is true but R is false

Answer: B

Both are true and the second explains the first. Refining the mesh merely produces a larger number, so the honest responses are to model the fillet the real part has, or to assess the region by fracture mechanics instead.

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