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 0.37 mm and that has a tip radius of curvature of 0.001 mm when a stress of 1250 MPa is applied.

48087.5MPa

Explanation:

The formula for this is

σ = 2σo√L/R

Using the information below we can solve this problem

Crack length L = 0.37mm

Radius R = 0.001 = 1x10^-3

Stress σo = 1250MPa

When we insert values into the formula

σ = 2(1250)√0.37/0.001

= 2(1250)√370

= 2(1250)(19.235)

= 48087.5 Mpa

This is therefore the theoretical fracture strength of the brittle material.