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

Abstract

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 behavior and a material-dependent exponent for short ranged systems and simpler behavior for long-range elasticity. We discuss whether the model can be applied to fatigue fractures or if extra physics is needed.