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Dislocation Glides in Monolayered Granular Media: Effect of Lattice Constant

2025/05/17 by Fumiaki Nakai, Takashi Uneyama, Nakai, Fumiaki +6
Materials Science · Engineering · #Microstructure and mechanical properties #Granular flow and fluidized beds #Material Dynamics and Properties

paper · doi:10.48550/arxiv.2505.12042

Abstract

A recent study demonstrated that granular crystals containing a single dislocation exhibit dislocation glide analogous to that observed in atomic-scale crystals, resulting in plastic deformation at yield stresses several orders of magnitude lower than those of dislocation-free crystals. The yielding behavior strongly depends on the interparticle friction coefficient μ: dislocation glide occurs for friction coefficients below a critical value μc, while crystalline order deteriorates above μc. In this work, we use discrete element method simulations to systematically investigate how the lattice constant, which determines the interparticle spacing and is a fundamental parameter in microscopic crystalline solids, and the friction coefficient μ influence the yielding behavior in monolayered granular crystals with dislocation. By decreasing the lattice constant, we find an increase in the critical friction coefficient μc, allowing dislocation glide to persist at higher friction values. Furthermore, we observe a linear scaling of yield stress with normal stress, except at extremely low friction coefficients.

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