# Stress Intensity Factor for Elliptical Cracks

by pbeary
Tags: cracks, elliptical, factor, intensity, stress
 P: 4 Hi, I just wanted some clarification with respect to a few equations relating stress intensity factor to semi-elliptical and quarter-elliptical cracks in solids. The equations I have according to my notes are $K_{I_{(\varphi=\frac{\pi}{2})}}=1.12\frac{\sigma \sqrt{\pi a}}{\Phi}$ and $K_{I_{(\varphi=0)}}=1.12\frac{\sigma \sqrt{\pi \frac{a^{2}}{c}}}{\Phi}$ The problem is, from a diagram I have, it seems the first one is the quarter-elliptical (corner) crack and the latter is the edge. Is this correct? I am confused as it states the semi-elliptical crack first then the corner crack, though you would expect the explanations to be in the same order... Here is the diagram btw. Thanks in advance!
P: 21,634
 Quote by pbeary Hi, I just wanted some clarification with respect to a few equations relating stress intensity factor to semi-elliptical and quarter-elliptical cracks in solids. . . . . The problem is, from a diagram I have, it seems the first one is the quarter-elliptical (corner) crack and the latter is the edge. Is this correct? I am confused as it states the semi-elliptical crack first then the corner crack, though you would expect the explanations to be in the same order... Here is the diagram btw. . . . . Thanks in advance!
The diagram is of a semi-elliptical crack. The two expressions are for different locations on the root, and they are of the same order (assuming I'm understanding your comment/question).

a is the same order as a2/c
P: 4
 Quote by Astronuc The diagram is of a semi-elliptical crack. The two expressions are for different locations on the root, and they are of the same order (assuming I'm understanding your comment/question). a is the same order as a2/c
Hi, thanks for the reply, cleared everything right up for me.

Guess this can be closed now.

 Related Discussions Introductory Physics Homework 0 Calculus & Beyond Homework 1 Mechanical Engineering 1 Materials & Chemical Engineering 3