Calculate the theoretical fracture strength of a brittle material wherein fracture occurs by propagation of an elliptically shaped 0.25 mm surface crack with a 1.2 × 10-3 mm tip radius under an applied 1200 MPa stress.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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8.a) Calculate the theoretical fracture strength of a brittle material wherein fracture occurs by propagation of an
elliptically shaped 0.25 mm surface crack with a 1.2 × 10-3 mm tip radius under an applied 1200 MPa stress.

b) If the specific surface energy for a material is 0.30 J/m2 and its elastic modulus is 69 GPa, calculate the minimum stress required for propagation of a surface crack 0.05 mm in length. Based on this calculation, estimate the materials fracture toughness. 

Expert Solution
Step 1

As per given question 

Strss=1200mpa

Crack=0.25mm

Radius of curvature =1.25×10^3 mm

We have find fracture strength 

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