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These elements can drastically increase the accuracy of the results near the crack tips, but in most of the models only one special crack tip element has been used for each crack end.
For the curved crack problem, the strain energy release rate, G can be calculated accurately in the vicinity of the crack tips by using the higher order displacement discontinuity method with a quadratic variation of displacement discontinuity elements and with two special crack tip elements at each crack end.
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Both the joints are subjected to axial and bending loading, and Mk at crack ends and deepest points of the surface crack are determined.
Then, extensive FE analyses are performed to determine the stress intensity magnification factor (Mk) at the crack deepest point and the crack ends of a surface crack in misaligned pipes.
There are singularities for the stresses and displacements at the crack tips in fracture mechanics problem, which decrease the accuracy of the numerical results in areas very close to the crack ends.
The crack ends near the attachment with the yoke.
The modified PCA minimizes residual sum of squares to extract eigenfunction scores, which are used to detect the presence of cracks ending on one side of the fastener hole.
If all the cracks dead end, I go to the end of the most promising-seeming crack, and hit again.
But then again, the clues that take me a while to crack usually end up being my favorites.
I sat on them, they cracked, the end.
He began drinking heavily, then became addicted to crack and ended up homeless in Camden, N.J.
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