Question

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 0.26 mm and that has a tip radius of curvature of 0.004 mm when a stress of 1230 MPa is applied.

Answer 1

theoretical fracture strength is 9916.58 MPa

Step-by-step explanation:

given data

surface crack of length L = 0.26 mm

radius of curvature r = 0.004 mm

stress So = 1230 MPa

solution

we get here theoretical fracture strength S that is express as

S =
`S_(0) * \sqrt{(L)/(r) }` .................1

here So is stress and L is length and r is radius

put here value and we get

S =
`1230 * \sqrt{(0.26)/(0.004) }`

solve it we get

S = 9916.58 MPa

so theoretical fracture strength is 9916.58 MPa