@article{FernandezBrunoGarcesetal.2020,
  author    = {Fernandez, Ricardo and Bruno, Giovanni and Garces, Gerardo and Nieto-Luis, H. and Gonzalez-Doncel, Gaspar},
  title     = {Fractional brownian motion of dislocations during creep deformation of metals},
  series = {Materials science \& engineering. A, Structural materials},
  volume    = {796},
  journal   = {Materials science \& engineering. A, Structural materials},
  publisher = {Elsevier},
  address   = {Lausanne},
  issn      = {0921-5093},
  doi       = {10.1016/j.msea.2020.140013},
  pages     = {8},
  year      = {2020},
  abstract  = {The present work offers an explanation on how the long-range interaction of dislocations influences their movement, and therefore the strain, during creep of metals. It is proposed that collective motion of dislocations can be described as a fractional Brownian motion. This explains the noisy appearance of the creep strain signal as a function of time. Such signal is split into a deterministic and a stochastic part. These terms can be related to two kinds of dislocation motions: individual and collective, respectively. The description is consistent with the fractal nature of strain-induced dislocation structures predicated in previous works. Moreover, it encompasses the evolution of the strain rate during all stages of creep, including the tertiary one. Creep data from Al99.8\% and Al3.85\%Mg tested at different temperatures and stresses are used to validate the proposed ideas: it is found that different creep stages present different diffusion characters, and therefore different dislocation motion character.},
  language  = {en}
}