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Large-scale molecular dynamics shows that silk beta-sheet nanocrystals confined to a few nanometres achieve higher stiffness, strength and toughness than larger nanocrystals.
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Notation basis: Direction of the size effect and 'a few nanometres' are in the abstract; the crystal sizes simulated and the numerical optimum are in the full text.
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Beta-sheet nanocrystals a few nanometres in size are stiffer, stronger and tougher than larger ones
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\frac{\partial \sigma_f}{\partial h} < 0,\ \frac{\partial E}{\partial h} < 0,\ \frac{\partial U_{\mathrm{tough}}}{\partial h} < 0 \quad \text{for } h \gtrsim h^{*} \sim \text{few nm}
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Sinan Keten et al., “Nanoconfinement controls stiffness, strength and mechanical toughness of β-sheet crystals in silk”, Nature Materials 9, 359-367 (2010), doi:10.1038/nmat2704; Abstract. Scope: Poly-Ala / poly-(Gly-Ala) beta-sheet nanocrystals of silk in MD
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Sinan Keten, Zhiping Xu, Britni Ihle, Markus J. Buehler. Nanoconfinement controls stiffness, strength and mechanical toughness of β-sheet crystals in silk. Nature Materials 9, 359-367 (2010). doi:10.1038/nmat2704
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Nanoconfinement controls stiffness, strength and mechanical toughness of β-sheet crystals in silk
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Here we report a series of large-scale molecular dynamics simulations, revealing that beta-sheet nanocrystals confined to a few nanometres achieve higher stiffness, strength and mechanical toughness than larger nanocrystals.
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Abstract of Nanoconfinement controls stiffness, strength and mechanical toughness of β-sheet crystals in silk, as read
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