Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853.
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139.
Proc Natl Acad Sci U S A. 2018 Aug 28;115(35):8665-8670. doi: 10.1073/pnas.1802831115. Epub 2018 Aug 13.
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 breaks 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 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.
断裂从根本上限制了宏观和微观物质的结构稳定性,从梁和骨骼到微管和纳米管。尽管最近在实验和理论上取得了重大进展,但断裂控制仍然带来了深刻的实际和理论挑战。虽然对细长杆状物体的弯曲诱导断裂进行了深入研究,但扭转和淬火动力学的影响尚未得到系统地探索。在这里,我们通过重新审视费曼的观察结果,即当暴露于大的纯弯曲应力时,干燥的意大利面条通常会断裂成三个或更多的碎片,展示了扭转和淬火动力学协议如何用于控制这种断裂过程。通过理论和实验相结合,我们针对两种基于扭转和非绝热淬火的不同协议,演示了脆性弹性杆的可控二进制断裂。我们的扭转控制断裂实验数据与理论预测的相图定量一致,并为淬火断裂建立了渐近标度关系。由于它们的普遍性质,这些结果有望适用于广泛系统中的扭转和动力学断裂过程。