Answer
$σ_{m} = 20,700 MPa $
Work Step by Step
Required:
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 0.5 mm (0.02 in.) and a tip radius of curvature of $5 \times 10^{-3} mm$ ($2 \times 10^{-4} in. $), when a stress of 1035 MPa (150,000 psi) is applied
Solution:
Using Equation 8.1,
$σ_{m} = 2σ_{0} (\frac{a}{ρ_{t}})^{1/2} = 2(1035 MPa) (\frac{0.5 mm}{5 \times 10^{-3} mm})^{1/2} \\= 20,700 MPa $
