Yadav Shwetabh, Sagapuram Dinakar
Department of Industrial and Systems Engineering, Texas A&M University, College Station, TX 77843, USA.
Proc Math Phys Eng Sci. 2020 Sep;476(2241):20200529. doi: 10.1098/rspa.2020.0529. Epub 2020 Sep 2.
Shear banding, or localization of intense strains along narrow bands, is a plastic instability in solids with important implications for material failure in a wide range of materials and across length scales. In this article, we report on a series of experiments on the nucleation of single isolated shear bands in three model alloys. Nucleation kinetics of isolated bands and characteristic stresses are studied using high-speed imaging and parallel force measurements. The results demonstrate the existence of a critical shear stress required for band nucleation. The nucleation stress bears little dependence on the normal stress and is proportional to the shear modulus. These properties are quite akin to those governing the onset of dislocation slip in crystalline solids. A change in the flow mode from shear banding to homogeneous plastic flow occurs at stress levels below the nucleation stress. Phase diagrams delineating the strain, strain rate and temperature domains where these two contrasting flow modes occur are presented. Our work enables interpretation of shear band nucleation as a crystal lattice instability due to (stress-assisted) breakdown of dislocation barriers, with quantitative experimental support in terms of stresses and the activation energy.
剪切带,即沿着狭窄带的强烈应变局部化,是固体中的一种塑性失稳现象,对广泛材料在各种长度尺度上的材料失效具有重要影响。在本文中,我们报告了在三种模型合金中关于单个孤立剪切带形核的一系列实验。使用高速成像和平行力测量研究了孤立带的形核动力学和特征应力。结果表明带形核需要临界剪应力的存在。形核应力几乎不依赖于法向应力,且与剪切模量成正比。这些特性与控制晶体固体中位错滑移起始的特性非常相似。在应力水平低于形核应力时,流动模式会从剪切带转变为均匀塑性流动。给出了描绘这两种截然不同的流动模式出现的应变、应变率和温度区域的相图。我们的工作能够将剪切带形核解释为由于(应力辅助)位错障碍的破坏导致的晶格失稳,并在应力和活化能方面提供了定量的实验支持。