Velocity of interfaces with short and long ranged elasticity under sinusoidal creep

TL;DR

This paper investigates the average velocity of elastic interfaces driven sinusoidally in the creep regime, revealing different behaviors for short- and long-range elastic systems and discussing potential applications to fracture mechanics.

Contribution

It introduces a modified creep velocity model under sinusoidal driving, capturing power-law behavior with material-dependent exponents for short-range systems and simpler dynamics for long-range systems.

Findings

Short-range systems exhibit power-law creep velocity with material-dependent exponents.

Long-range systems show simpler, different creep velocity behavior.

The model's applicability to fatigue fractures is discussed.

Abstract

Plenty of research on elastic interfaces has been done on systems where the interface is pushed with a constant force. We studied the average velocity of an interface under a sinusoidal driving in the creep region, considering both short-range elastic systems, such as magnetic domain walls during a hysteresis loop, and long ranged systems such as fractures. We obtained a modified version of the creep velocity with approximate power-law behaviour and a material dependent exponent for short ranged systems and simpler behaviour for long-range elasticity. We discuss whether the model can be applied to fatigue fractures, or if extra physics is needed.