Dislocation Glides in Monolayered Granular Media: Effect of Lattice Constant
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arXiv
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| Format: | Preprint |
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2025
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| author | Nakai, Fumiaki Uneyama, Takashi Sasaki, Yuto Yoshii, Kiwamu Katsuragi, Hiroaki |
| author_facet | Nakai, Fumiaki Uneyama, Takashi Sasaki, Yuto Yoshii, Kiwamu Katsuragi, Hiroaki |
| contents | 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 $μ_c$, while crystalline order deteriorates above $μ_c$. 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 $μ_c$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12042 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dislocation Glides in Monolayered Granular Media: Effect of Lattice Constant Nakai, Fumiaki Uneyama, Takashi Sasaki, Yuto Yoshii, Kiwamu Katsuragi, Hiroaki Soft Condensed Matter Statistical Mechanics 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 $μ_c$, while crystalline order deteriorates above $μ_c$. 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 $μ_c$, 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. |
| title | Dislocation Glides in Monolayered Granular Media: Effect of Lattice Constant |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2505.12042 |