Fluctuation phenomena in crystal plasticity - a continuum model

Abstract

On microscopic and mesoscopic scales, plastic flow of crystals is characterized by large intrinsic fluctuations. Deformation by crystallographic slip occurs in a sequence of intermittent bursts ('slip avalanches') with power-law size distribution. In the spatial domain, these avalanches produce characteristic deformation patterns in the form of slip lines and slip bands which exhibit long-range spatial correlations. We propose a generic continuum model which accounts for randomness in the local stress-strain relationships as well as for long-range internal stresses that arise from the ensuing plastic strain heterogeneities. The model parameters are related to the local dynamics and interactions of lattice dislocations. The model explains experimental observations on slip avalanches as well as the associated slip and surface pattern morphologies.

References in corpus (6)

• Intermittent dislocation flow in viscoplastic deformation
• Collective Transport: From Superconductors to Earthquakes
• Dynamics of a ferromagnetic domain wall: avalanches, depinning transition and the Barkhausen effect
• An extremal model for amorphous media plasticity
• Self-affine surface morphology of plastically deformed metals
• Fluctuation phenomena in crystal plasticity - a continuum model

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