Controlling fracture cascades through twisting and quenching
ORAL
Abstract
Fracture fundamentally limits the structural stability of macroscopic and microscopic matter, from beams and bones to microtubules and nanotubes. Despite substantial recent experimental and theoretical progress, fracture control continues to present profound practical and theoretical challenges. While bending-induced fracture of elongated rod-like objects has been intensely studied, the effects of twist and quench dynamics have yet to be explored systematically. Here, we show how twist and quench protocols may be used to control such fracture processes, by revisiting Feynman's observation that dry spaghetti typically break into three or more pieces when exposed to large pure bending stresses. Combining theory and experiment, we demonstrate controlled binary fracture of brittle elastic rods for two distinct protocols based on twisting and nonadiabatic quenching. Our experimental data for twist-controlled fracture agree quantitatively with a theoretically predicted phase diagram, and we establish novel asymptotic scaling relations for quenched fracture. Due to their general character, these results are expected to apply to torsional and kinetic fracture processes in a wide range of systems.
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Presenters
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Vishal Patil
Department of Mathematics, Massachusetts Institute of Technology
Authors
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Vishal Patil
Department of Mathematics, Massachusetts Institute of Technology
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Ronald Heisser
Sibley School of Mechanical and Aerospace Engineering, Cornell University
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Norbert Stoop
Department of Mathematics, Massachusetts Institute of Technology
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Emmanuel Villermaux
IRPHE, Aix-Marseille University, IRPHE, Université Aix Marseille
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Jorn Dunkel
Massachusetts Institute of Technology, Department of Applied Mathematics, Massachusetts Institute of Technology, Department of Mathematics, Massachusetts Institute of Technology