Controlling fracture cascades through twisting and quenching

TL;DR

This paper demonstrates methods to control fracture in brittle elastic rods, enabling binary fracture through twisting and quenching, supported by experiments, simulations, and analytical models, addressing longstanding questions in fracture mechanics.

Contribution

It introduces two novel protocols for inducing binary fracture in brittle materials, supported by experimental validation and theoretical analysis.

Findings

Quantitative agreement between experiments and phase diagram predictions.

New asymptotic scaling relations for quenched fracture.

Protocols applicable to various torsional and kinetic fracture systems.

Abstract

Fracture limits the structural stability of macroscopic and microscopic materials, from beams and bones to microtubules and nanotubes. Despite recent progress, fracture control continues to present profound practical and theoretical challenges. A famous longstanding problem posed by Feynman asks why brittle elastic rods appear almost always to fragment into at least three pieces when placed under large bending stresses. Feynman's observation raises fundamental questions about the existence of protocols that can robustly induce binary fracture in brittle materials. Using experiments, simulations and analytical scaling arguments, 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. Furthermore, 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.