Slip line growth as a critical phenomenon

Abstract

We study the growth of slip line in a plastically deforming crystal by numerical simulation of a double-ended pile-up model with a dislocation source at one end, and an absorbing wall at the other end. In presence of defects, the pile-up undergoes a second order non-equilibrium phase transition as a function of stress, which can be characterized by finite size scaling. We obtain a complete set of critical exponents and scaling functions that describe the spatiotemporal dynamics of the slip line. Our findings allow to reinterpret earlier experiments on slip line kinematography as evidence of a dynamic critical phenomenon.

4 pages, 4 figures

References in corpus (4)

• Intermittent dislocation flow in viscoplastic deformation
• Nonequilibrium Dynamics of Interfaces and Lines
• Fluctuation phenomena in crystal plasticity - a continuum model
• Depinning transition of dislocation assemblies: pileup and low-angle grain boundary

Cited by in corpus (4)

• Pressure-Induced Structural Phase Transition and a Special Amorphization Phase of Two-Dimensional Ferromagnetic Semiconductor Cr2Ge2Te6
• Micro-plasticity and intermittent dislocation activity in a simplified micro structural model
• Machine learning depinning of dislocation pileups
• Dislocation mutual interactions mediated by mobile impurities and the conditions for plastic instabilities