Fatigue crack propagation, Mechanical Engineering

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Fatigue crack propagation:

If it is assumed that no plastic deformation occurs around crack tip and law of fatigue crack propagation for place of above Example is da/dN = 10^{- 8} (Δ K_{I eff})2.0 mm/cycle , find after how many cycles the plate will fracture.

Solution

Δ K I = ΔK _{I eff} because there is no plastic deformation in crack tip neighbourhood.

1926_Fatigue crack propagation.png

a_c = 146.14 mm, a_i = 35 mm from above Example .

or, Nf =2´10⁴ln ( ac/ ai) = 2´10⁴ ln (146.14/35)

or, N f = 2´10⁴ln (4.175) = 28584 cycles

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