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准静态剪切带的有限宽度。

Finite width of quasistatic shear bands.

作者信息

Jagla E A

机构信息

Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, (8400) Bariloche, Argentina.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Aug;78(2 Pt 2):026105. doi: 10.1103/PhysRevE.78.026105. Epub 2008 Aug 8.

DOI:10.1103/PhysRevE.78.026105
PMID:18850895
Abstract

I study the average deformation rate of an amorphous material submitted to an external uniform shear strain rate, in the geometry known as the split-bottom configuration. The material is described using a stochastic model of plasticity at a mesoscopic scale. A shear band is observed to start at the split point at the bottom, and widen progressively towards the surface. In a two-dimensional geometry the average statistical properties of the shear band look similar to those of the directed polymer model. In particular, the surface width of the shear band is found to scale with the system height H as H;{alpha} with alpha=0.68+/-0.02 . In more realistic three-dimensional simulations the exponent changes to alpha=0.60+/-0.02 and the bulk profile of the width of the shear band is closer to a quarter of a circle, as it was observed to be the case in recent simulations of granular materials.

摘要

我研究了在一种被称为分体底部构型的几何结构中,非晶材料在外部均匀剪切应变率作用下的平均变形率。该材料使用介观尺度的随机塑性模型进行描述。观察到一条剪切带从底部的分裂点开始,并逐渐向表面扩展。在二维几何结构中,剪切带的平均统计特性与定向聚合物模型的相似。特别是,发现剪切带的表面宽度与系统高度H成比例,比例系数为α = 0.68±0.02。在更实际的三维模拟中,指数变为α = 0.60±0.02,并且剪切带宽度的整体轮廓更接近四分之一圆,这与最近对颗粒材料的模拟结果一致。

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