. . . . "A rupture-initiation condition expressed through the free-energy release rate of hydrogen bonds marks both the end of worm-like-chain entropic elasticity in beta-sheet domains and the onset of rupture, so strength and elasticity are coupled." . "mathematical-law" . . "Notation basis: A Griffith-type energy-release-rate criterion is what the abstract describes in words; the exact expression is in the full text, not vendored." . "An H-bond energy-release-rate condition sets both the entropic-elasticity limit and rupture onset" . "G(x) \\equiv -\\frac{\\partial \\Delta G_{\\mathrm{elastic}}}{\\partial A} = G_{HB} \\;\\Rightarrow\\; x = x_{\\mathrm{limit}}" . "Sinan Keten et al., “Strength limit of entropic elasticity in beta-sheet protein domains”, Physical Review E 78 (2008), doi:10.1103/physreve.78.061913; Abstract. Scope: Beta-sheet protein domains" . "Sinan Keten, Markus J. Buehler. Strength limit of entropic elasticity in beta-sheet protein domains. Physical Review E 78 (2008). doi:10.1103/physreve.78.061913" . "Sinan Keten, Markus J. Buehler" . "2008"^^ . "doi:10.1103/physreve.78.061913" . "pmid:19256874" . "Strength limit of entropic elasticity in beta-sheet protein domains" . . . "delphisci buehler-protein-materials claim extractor" . . . . "Claude Fable 5.1" . . . . . . . . . . . . "Quoted from the published abstract as returned by Europe PMC (2008-entropic-limit.abstract.txt, sha256 df364298ad97cb6e8e2a20160f01664296f3d76e65bc6bf4406eb967fc695dbc); the full text was not read (not in Europe PMC open-access subset). Checked by build/check.py." . . . "We show that a rupture initiation condition characterized by the free energy release rate of H-bonds characterizes the limit of WLC entropic elasticity of beta-sheet protein domains and the onset of rupture. Our findings reveal that strength and elasticity are coupled and cannot be treated separately." . . "df364298ad97cb6e8e2a20160f01664296f3d76e65bc6bf4406eb967fc695dbc" . "Checksum of the vendored text file inputs/2008-entropic-limit.abstract.txt, not of the publisher's copy." . . . "Abstract of Strength limit of entropic elasticity in beta-sheet protein domains, as read" . . "buehler-protein-materials" . "2026-11-08T04:38:11.893Z"^^ . . . . . "Sinan Keten et al. 2008 claim: An H-bond energy-release-rate condition sets both the entropic-elasticity limit and rupture onset" . . "RSA" . "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB" . "M7p93SWckL6+S5bD73UQXmSK9YY6/YdO6z3rks4Oqkyz91oDYSaZqVKRLE89AaGBA1qw3yYaS1O1DIcr0M6rYa9w9JvP4fesBVTRoH2ilY8R4IIljBqNlh94agKJDDd7BHspDjQ3qqPsjvH1gbTqgEuvCVd+L4BkYyCJnqQTnZvuaVMRT1/IW+V89xGx5h27hwq7DX0RtQLJho+E8XfYdg9o3BFxhp0UJ36PTBJ97pZoT5idX3TBPzu9D3mTt0RH4mmJRz+VzL/XIgiPUYqPcKuROiKXfmitudA6Y2WKqBSvgMIsZmfwIAHNZcIi/1rME8ekSqRHp3pHTY+2assgwA==" . . .