Statistical dynamics of early creep stages in disordered materials
arXiv:1903.00444 · doi:10.1140/epjb/e2019-100124-0
Abstract
When materials are loaded below their short-term strength over extended periods, a slow time-dependent process known as creep deformation takes place. During creep deformation, the structural properties of a material evolve as a function of time. By means of a generic coarse-grained mesoscopic elastoplastic model which envisages deformation as a sequence of stochastically activated discrete events, we study the creep deformation of disordered materials. We find that the structural evolution of the material during creep modifies not only the average material properties but also changes the statistics of those properties. We analyze the emergence of correlations in the strain localization and deformation activity patterns, the variation of the event rate and the evolution of the inter-event time distribution. We find that the event rate follows the Omori law of aftershocks, which is the discrete counterpart of Andrade's transient creep law, and that the exponent of these laws only depends on the microstructural heterogeneity. Finally, we find during the initial stages of transient creep a transition from Poisson distributed inter-event times towards a non-trivial power law distribution.
References in corpus (17)
- Scaling description of the yielding transition in soft amorphous solids at zero temperature
- A random critical point separates brittle and ductile yielding transitions in amorphous materials
- Statistical similarity between the compression of a porous material and earthquakes
- Driving rate dependence of avalanche statistics and shapes at the yielding transition
- Avalanches, precursors and finite size fluctuations in a mesoscopic model of amorphous plasticity
- Creep and Fracture of a Protein Gel under Stress
- Local yield stress statistics in model amorphous solids
- Universality of Avalanche Exponents in Plastic Deformation of Disordered Solids
- Avalanche localization and crossover scaling in amorphous plasticity
- Elasto-plastic description of brittle failure in amorphous materials
- Size effects in statistical fracture
- Fluctuations and scaling in creep deformation
- Avalanches, loading and finite size effects in 2D amorphous plasticity: results from a finite element model
- Avalanche behavior in creep failure of disordered materials
- Mechanical rejuvenation and over-aging in the soft glassy rheology model
- Disorder is good for you: The influence of local disorder on strain localization and ductility of strain softening materials
- Creep dynamics of athermal amorphous materials: a mesoscopic approach