Centre crack and stress singularity

Infinite plate with traction-free slit −a ≤ x ≤ a, loaded by σyy∞ = σ∞. Along y = 0 ahead of the right tip, σyy/σ∞ = (1 + r/a)/√[(r/a)(2 + r/a)]. KⅠ = σ∞√(πa). The local asymptote is 1/√(2r/a). No finite-width correction or process-zone cutoff is included.

Tip pixels are unresolved and colours are clipped to a stated display range. Neither changes the analytical singularity. MIT fracture mechanics notes.