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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.

Respuesta :

Answer:

theoretical fracture strength is 9916.58 MPa

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  =    [tex]S_{0} \times \sqrt{\frac{L}{r} }[/tex]    .................1

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

put here value and we get

S  =    [tex]1230 \times \sqrt{\frac{0.26}{0.004} }[/tex]  

solve it we get

S  =  9916.58 MPa

so theoretical fracture strength is 9916.58 MPa

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