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

Abstract

Plastic deformation of crystalline and amorphous matter often involves intermittent local strain burst events. To understand the physical background of the phenomenon a minimal stochastic mesoscopic model was introduced, where microstructural details are represented by a fluctuating local yielding threshold. In the present paper, we propose a method for determining this yield stress distribution by lower scale discrete dislocation dynamics simulations and using a weakest link argument. The success of scale-linking is demonstrated on the stress-strain curves obtained by the resulting mesoscopic and the discrete dislocation models. As shown by various scaling relations they are statistically equivalent and behave identically in the thermodynamic limit. The proposed technique is expected to be applicable for different microstructures and amorphous materials, too.

arXiv comment13 pages, 12 figures

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• Machine learning plastic deformation of crystals
• The Emergence and Role of Dipolar Dislocation Patterns in Discrete and Continuum Formulations of Plasticity
• Dynamic Length Scale and Weakest Link Behavior in Crystal Plasticity
• Micro-plasticity and recent insights from intermittent and small-scale plasticity
• Avalanche Dynamics and the Effect of Straining in Dislocation Systems with Quenched Disorder