Critical Scaling of Solid Fragmentation at Quasistatic and Finite Strain Rates,Physical Review Letters

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Critical Scaling of Solid Fragmentation at Quasistatic and Finite Strain Rates
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-11 , DOI: 10.1103/physrevlett.129.078002
Joel T Clemmer ₁ , Mark O Robbins ₂

Affiliation

Using two-dimensional simulations of sheared, brittle solids, we characterize the resulting fragmentation and explore its underlying critical nature. Under quasistatic loading, a power-law distribution of fragment masses emerges after fracture which grows with increasing strain. With increasing strain rate, the maximum size of a grain decreases and a shallower distribution is produced. We propose a scaling theory for distributions based on a fractal scaling of the largest mass with system size in the quasistatic limit or with a correlation length that diverges as a power of rate in the finite-rate limit. Critical exponents are measured using finite-size scaling techniques.

中文翻译：

准静态和有限应变率下固体碎裂的临界尺度

使用剪切的脆性固体的二维模拟，我们描述了由此产生的碎片并探索其潜在的关键性质。在准静态载荷下，碎片质量在断裂后出现幂律分布，随着应变的增加而增长。随着应变速率的增加，晶粒的最大尺寸减小并且产生更浅的分布。我们提出了一种基于最大质量的分形标度的分布标度理论，其中系统尺寸处于准静态极限或相关长度在有限速率极限中作为速率的幂而发散。使用有限尺寸缩放技术测量临界指数。

更新日期：2022-08-11

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