Difference between revisions of "Crack Settings"

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(Created page with "This section needs writing. Below are some items that will be used or move else where. In max energy release rate (or max hoop stress), the crack direction is at angle &theta...")
 
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   \sin\theta = \mp\left | {K_{II}\over K_I}(3\cos\theta - 1)\right|</math>
   \sin\theta = \mp\left | {K_{II}\over K_I}(3\cos\theta - 1)\right|</math>


The second terms in negative or positive depending on K_{II} being positive or negative.
The second terms in negative or positive depending on K<sub>II</sub> being positive or negative.

Revision as of 09:17, 19 September 2013

This section needs writing. Below are some items that will be used or move else where.

In max energy release rate (or max hoop stress), the crack direction is at angle θ (which is ccw from self similar growth) and obeys

      [math]\displaystyle{ \cos\theta = {3K_{II}^2 + K_{I}\sqrt{K_I^2+8K_{II}^2} \over K_I^2+9K_{II}^2} \qquad {\rm and} \qquad \sin\theta = \mp\left | {K_{II}\over K_I}(3\cos\theta - 1)\right| }[/math]

The second terms in negative or positive depending on KII being positive or negative.