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Using the Inglis solution for an elliptical hole, the tip stress for the initial crack shape, elongated across the load, exceeds that after the yield-zone-mediated transformation to a shape elongated along the load by a factor of 5.7.
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Notation basis: The text names the Inglis solution (eq. 3, an image) and gives the factor 5.7; the Inglis formula written here is its standard form with a the semi-axis across the load and b along it.
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Crack-shape transformation cuts the Inglis tip stress by a factor 5.7
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\sigma_{\mathrm{tip}} = \sigma_\infty\left(1 + 2\frac{a}{b}\right);\quad \frac{\sigma_{\mathrm{tip}}^{\mathrm{before}}}{\sigma_{\mathrm{tip}}^{\mathrm{after}}} = 5.7
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Theodor Ackbarow et al., “Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant”, PLoS ONE 4, e6015 (2009), doi:10.1371/journal.pone.0006015; Results and Discussion. Scope: Elliptical crack in the alpha-helix network, before and after yield-zone formation
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Theodor Ackbarow, Dipanjan Sen, Christian Thaulow, Markus J. Buehler. Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant. PLoS ONE 4, e6015 (2009). doi:10.1371/journal.pone.0006015
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Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant
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Full text of Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant, as read
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Quoted from the full text (cc by licence), paragraph 24 of 2009-helical-networks.txt (sha256 d35d9ea109c79b04ca4f44608c823ee0ab4e43a642147772bb6b89e3fe2d734f), vendored from Europe PMC PMC2696088 by build/resolve.py and checked by build/check.py.
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After the crack shape transformation has occurred, , leading to , reduced by a factor 5.7.
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Theodor Ackbarow et al. 2009 claim: Crack-shape transformation cuts the Inglis tip stress by a factor 5.7
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