Stress Intensity Factor for Elliptical Cracks


by pbeary
Tags: cracks, elliptical, factor, intensity, stress
pbeary
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#1
Nov5-11, 11:57 AM
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 [itex]K_{I_{(\varphi=\frac{\pi}{2})}}=1.12\frac{\sigma \sqrt{\pi a}}{\Phi}[/itex] and [itex]K_{I_{(\varphi=0)}}=1.12\frac{\sigma \sqrt{\pi \frac{a^{2}}{c}}}{\Phi}[/itex]

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!
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Astronuc
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#2
Nov5-11, 01:59 PM
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Quote Quote by pbeary View Post
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
pbeary
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#3
Nov5-11, 02:52 PM
P: 4
Quote Quote by Astronuc View Post
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.


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