Question: Recall from lecture notes that the max stress at the tip of an elliptic hole under uniaxial Mode-I (opening mode) loading can be described

Recall from lecture notes that the max stress at the tip of 

Recall from lecture notes that the max stress at the tip of an elliptic hole under uniaxial Mode-I (opening mode) loading can be described by the equation and graph presented in the Figure. As the shape of the elliptic hole approaches that of a crack (p0), the stress concentration becomes very large, and 2 VP >1. s fe Therefore: Max oy~ 2S sia 8- P is tip radius SO 2 oy 9 Ox 2c 2 S Max dy = S -s (1+2 ) 5 x/p The leading edge of a 2 m (0.002 mm) long crack in glass is found to experience a stress concentration factor of 200 under uniaxial Mode-I loading. a. Estimate the radius of curvature at the crack tip. Provide your answer in nm (106 nm = 1 mm). b. Compare this answer with the average atomic spacing in glass (look up a reasonable value on the internet) and comment on whether this radius is indicative of significant crack-tip blunting due to plastic deformation at the crack tip.

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