. . . . "Assuming a linear geometric transformation of the crack and a crack-propagation condition at the flawless network's strength, the failure stress follows a scaling law in χ like LEFM's but with one parameter C describing tip blunting; a least-squares fit gives C = 1.102 and matches the simulations far better than LEFM." . "mathematical-law" . . "Notation basis: Equations (4)–(6) are images absent from the vendored text; only the structure (LEFM-like scaling in χ with one blunting parameter), the propagation condition and the fitted C are stated in prose. The explicit f must be taken from the PDF." . "A one-parameter blunting law (C = 1.102) predicts failure stress versus crack size" . "\\sigma_f(\\chi) = \\sigma_f^{0}\\, f(\\chi; C),\\quad C = 1.102" . "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: Alpha-helix network model, cracks from 10% to 80% of width" . "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 25–26 of 2009-helical-networks.txt (sha256 d35d9ea109c79b04ca4f44608c823ee0ab4e43a642147772bb6b89e3fe2d734f), vendored from Europe PMC PMC2696088 by build/resolve.py and checked by build/check.py." . . . "Equation (6) is a similar scaling law as proposed in eq. (2), but features an unknown parameter C that effectively describes the geometric change of the blunted crack tip under elastic deformation. This parameter can be identified by carrying out a least-squares curve fit for C to the range of geometries considered in our computational experiments, leading to C = 1.102." . . "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: A one-parameter blunting law (C = 1.102) predicts failure stress versus crack size" . . "RSA" . "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB" . "a8FqsaZGgQPbcu9xbPEQAaPZZnpRTSfU3wAj/7cNkkwFCw7rzgjm1Qclh3CtI8EH+mAV5NpHxEnJVUkOKqUGgSuqw0VWafax1sFyQYR2j9WRbql+wsjBY01Xz6MsPyIQLtD9vz4ziQhY6qgulAOIUcA9wbPoHu7yOfHzF/FJIeI0BcLHSixWLEMZkHC7XxotF+mEQu2XHpORR6Vf4eCS29wUzXvxfjpM9plULfIwDTlf1Ai+W1u1LgNiAgyaNM8dlQ85cYE+XpPZCykEMVQ8xSKXWpWnFZuvKZrhJYYV5AGLY6zk4dLCjYbAgujfLEP2r3H8bzo7HJdDnn/4dphY/A==" . . .