. . . . "Linear elastic fracture mechanics predicts the failure strain of a centre-cracked panel to scale as χ^−0.5 with relative crack size; a power-law fit to the simulations gives an exponent of −0.0362, so LEFM fails to describe the alpha-helix network." . "mathematical-law" . . "Notation basis: Both exponents are in the text; the LEFM expression itself (eq. 1–2) is an image not in the vendored text. The χ^−1/2 form follows from Griffith's σ_f = sqrt(2Eγ/(πξ)) with ε = σ/E." . "Griffith scaling predicts χ^−0.5; the network's failure strain scales as χ^−0.036" . "\\varepsilon_f^{\\mathrm{LEFM}} \\propto \\chi^{-1/2} \\quad \\text{vs} \\quad \\varepsilon_f^{\\mathrm{sim}} \\propto \\chi^{-0.0362}" . "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: Centre-cracked alpha-helix network under mode I tension" . "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" . "Theodor Ackbarow, Dipanjan Sen, Christian Thaulow, Markus J. Buehler" . "2009"^^ . "PMC2696088" . "doi:10.1371/journal.pone.0006015" . "pmid:19547709" . "Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant" . . . . "Full text of Alpha-Helical Protein Networks Are Self-Protective and Flaw-Tolerant, as read" . . . "delphisci buehler-protein-materials claim extractor" . . . . "Claude Fable 5.1" . . . . . . . . . . . . "Quoted from the full text (cc by licence), paragraph 20 of 2009-helical-networks.txt (sha256 d35d9ea109c79b04ca4f44608c823ee0ab4e43a642147772bb6b89e3fe2d734f), vendored from Europe PMC PMC2696088 by build/resolve.py and checked by build/check.py." . . . "This analysis reveals that the scaling parameter a of versus χ are much different (−0.0362 vs. −0.5), and that the conventional LEFM model fails to describe the failure behavior of this system." . . "d35d9ea109c79b04ca4f44608c823ee0ab4e43a642147772bb6b89e3fe2d734f" . "Checksum of the vendored text file inputs/2009-helical-networks.txt, not of the publisher's copy." . "buehler-protein-materials" . "2026-11-08T04:38:11.893Z"^^ . . . . . "Theodor Ackbarow et al. 2009 claim: Griffith scaling predicts χ^−0.5; the network's failure strain scales as χ^−0.036" . . "RSA" . "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB" . "kZrIUw1tg9gLDZGiUKAGzy0Akv86FFf98qQKUDqt5kcntPxxWZpqIkHunO0IAjOJxWgJBcQFeSJbRh04eELSKgjgag4HtIbZzm9jCyE1uWmq5F0qv2xBHW4Luh+N+wB/MpWaXgdw/1hOssd1ioND1UTCYHqnB1F2GQm8KB9F/qUQTZCh0iEl6TMUwAx1j/QHWtj+Zy8hfwMpcS7edMH54vP43hOEH4+j7x+qKexAaDfmXcXBvCn+0uLtidONJsGiskfJCFSAprST3uNz3QOLllc9T5BRbQjQjNfTXR8yztJ46TQESiBHqe+o+RdNXEbMowWWkAOYruezrKkbbObOgw==" . . .