Dynamic hysteresis in cyclic deformation of crystalline solids

TL;DR

This paper investigates the hysteresis behavior in cyclic deformation of crystalline solids through dislocation dynamics simulations, revealing frequency-dependent hysteresis loop areas and distinct viscoelastic and viscoplastic phases.

Contribution

It introduces a detailed simulation study of stress-strain hysteresis in crystalline solids, highlighting the frequency dependence and phase transitions in dislocation dynamics.

Findings

Hysteresis loop area peaks at a characteristic frequency.

Power law frequency dependence of hysteresis in low frequency limit.

Identification of jammed and yielding phases with distinct dynamics.

Abstract

The hysteresis or internal friction in the deformation of crystalline solids stressed cyclically is studied from the viewpoint of collective dislocation dynamics. Stress-controlled simulations of a dislocation dynamics model at various loading frequencies and amplitudes are performed to study the stress - strain rate hysteresis. The hysteresis loop areas exhibit a maximum at a characteristic frequency and a power law frequency dependence in the low frequency limit, with the power law exponent exhibiting two regimes, corresponding to the jammed and the yielding/moving phases of the system, respectively. The first of these phases exhibits non-trivial critical-like viscoelastic dynamics, crossing over to intermittent viscoplastic deformation for higher stress amplitudes.