Fracture mechanics and fatigue

Which statement correctly describes the initiation of fatigue cracks when a stress amplitude below the yield stress is repeatedly applied to a metal with a smooth surface?

  1. AThe surface is protected by its oxide film, so fatigue cracks almost always start inside the material near its center
  2. BBelow the yield stress, dislocations do not move at all, so no cracks form and the material lasts indefinitely
  3. CLocalized slip repeats in grains near the surface, and surface intrusions and extrusions become the starting points
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Answer: C. Localized slip repeats in grains near the surface, and surface intrusions and extrusions become the starting points

Even at a stress amplitude below the yield stress, localized slip occurs in favorably oriented grains near the surface, and with repetition persistent slip bands form. Slip does not fully reverse even when it goes back and forth, so tiny irregularities called intrusions and extrusions appear on the surface, and these act as notches where cracks start. The surface is less constrained, carries scratches and corrosion, and in bending or torsion bears the highest stress, so most fatigue cracks start at the surface. Initiation from the interior is limited to cases such as inclusions acting as origins in high-strength steels in the very-high-cycle regime. Dislocations do not stay completely still, so fatigue failure occurs even below the yield stress.

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More Fracture mechanics and fatigue questions

  1. The fracture surface of a part that failed by fatigue shows shell-like patterns visible to the naked eye (beach marks) and fine lines visible in an electron microscope (striations). Which statement about them is correct?
  2. A cyclic stress with a mean stress σm = 200 MPa is applied to a steel with a fully reversed fatigue limit σw = 300 MPa and a tensile strength σB = 800 MPa. Using the modified Goodman relation σa = σw(1 − σm/σB), which value is closest to the stress amplitude corresponding to the fatigue limit?
  3. Which surface treatment can be expected to improve the fatigue strength of a steel part?
  4. A steel part fails by fatigue after 1.0×10⁵ cycles at stress amplitude σ₁ and after 1.0×10⁶ cycles at σ₂. After it is used for 4.0×10⁴ cycles at σ₁, it continues to be used at σ₂. Which value is closest to the remaining life estimated with Miner's rule (failure when Σn/N = 1)?
  5. Which statement about low-cycle fatigue (roughly 10⁴ cycles or fewer to failure) is correct?