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eng.fracture-mechanics-KI Calculator
Calculates the mode I stress intensity factor KI for common crack geometries (edge crack, centre crack, surface crack) from applied stress and crack length. KI must remain below the material's plane strain fracture toughness KIC — if KI = KIC, the crack will propagate unstably.
Inputs
Sigma Mpa
Internal force per unit area (Pa or MPa). Must stay below yield strength in service.
A Mm
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Y Geometry
A multiplier applied in the calculation.
Kic Mpa Sqrtm
Reference formula or conversion factor shown for context.
Results
stress intensity KI (MPa√m)
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
KIc fracture toughness (MPa√m)
Sample size or count used in the calculation.
factor of safety against fracture
Strength / applied load. A safety factor of 2.0 means the structure can handle twice the design load before failure. Buildings: 1.5–3. Lifting equipment: 4–6.
critical crack size a_crit (mm)
Reference formula or conversion factor shown for context.
KI = Y·σ·√(πa)
Reference formula or conversion factor shown for context.