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Plastic deformation of crystalline and amorphous matter often involvesintermittent local strain burst events. To understand the physical backgroundof the phenomenon a minimal stochastic mesoscopic model was introduced, wheremicrostructural details are represented by a fluctuating local yieldingthreshold. In the present paper, we propose a method for determining this yieldstress distribution by lower scale discrete dislocation dynamics simulationsand using a weakest link argument. The success of scale-linking is demonstratedon the stress-strain curves obtained by the resulting mesoscopic and thediscrete dislocation models. As shown by various scaling relations they arestatistically equivalent and behave identically in the thermodynamic limit. Theproposed technique is expected to be applicable for different microstructuresand amorphous materials, too.

The role of weakest links and system size scaling in multiscale modeling of stochastic plasticity