Estimate the theoretical fracture strength of a brittle material if it is known that fracture occurs by the propagation of an elliptically shaped surface crack of length 0.54 mm and having a tip radius of curvature of 3.4 × 10−3 mm when a stress of 1050 mpa is applied

The theoretical fracture strength of a brittle material is 26465.29 MPa.

Explanation:

Given that,

Length = 0.54 mm

Radius curvature

Stress = 1050 MPa

We need to calculate the theoretical fracture strength of a brittle material

Using formula of strength

Where, l = length of the crack

= tip radius of curvature

Put the value into the formula

Hence, The theoretical fracture strength of a brittle material is 26465.29 MPa.

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