Size effects in dislocation depinning models for plastic yield
arXiv:1301.5794 · doi:10.1088/1742-5468/2013/04/P04029
Abstract
Typically, the plastic yield stress of a sample is determined from a stress-strain curve by defining a yield strain and reading off the stress required to attain it. However, it is not a priori clear that yield strengths of microscale samples measured this way should display the correct finite size scaling. Here we study plastic yield as a depinning transition of a 1+1 dimensional interface, and consider how finite size effects depend on the choice of yield strain, as well as the presence of hardening and the strength of elastic coupling. Our results indicate that in sufficiently large systems, the choice of yield strain is unimportant, but in smaller systems one must take care to avoid spurious effects.
arXiv comment7 pages, 8 figures
References in corpus (15)
- 2-loop Functional Renormalization Group Theory of the Depinning Transition
- Roughness at the depinning threshold for a long-range elastic string
- Interface Depinning in a Disordered Medium - Numerical Results
- Depinning of elastic manifolds
- Self-affine surface morphology of plastically deformed metals
- Fluctuation phenomena in crystal plasticity - a continuum model
- Avalanches and the Directed Percolation Depinning Model: Experiments, Simulations and Theory
- Critical exponents of the driven elastic string in a disordered medium
- Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media
- Measuring functional renormalization group fixed-point functions for pinned manifolds
- Slip avalanches in crystal plasticity: scaling of the avalanche cutoff
- Monte Carlo Dynamics of driven Flux Lines in Disordered Media
- Avalanche Spatial Structure and Multivariable Scaling Functions; Sizes, Heights, Widths, and Views through Windows
- Universal distribution of threshold forces at the depinning transition
- Ground state non-universality in the random field Ising model