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Evaluating Mohr-Coulomb yield criterion for plastic flow in model metallic glasses

机译:评估模型金属玻璃中塑性流动的Mohr-Coulomb屈服准则

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摘要

The yielding of metallic glasses (MGs) is generally considered to be dependent on pressure or normal stress, which is usually described by the Mohr-Coulomb yield criterion. Experimentally, the orientation of the shear band angle or fracture angles in MG is roughly 40° to 42° in uniaxial compression and 50° to 59° in uniaxial tension, both with respect to the loading direction. However, the amounts of deviation from the maximum shear stress direction (45°) under uniaxial tension and compression are quite different, which seems to be inconsistent with the Mohr-Coulomb yield criterion. Here we carried out molecular dynamics simulations to study the incipient plasticity of model Dzugutov glasses subjected to various uniaxial and biaxial stress states. The yield points are defined as the sharp rise of the population of atoms participating in non-affine deformations, in addition to the traditional offset method. The yield surfaces thus created agree well with the Mohr-Coulomb yield criterion. Furthermore, the orientations of the embryonic shear bands (instead of the fully-grown shear bands, or fracture planes) are measured, which also follow predictions based on the Mohr-Coulomb criterion. Our simulation results call for orientational measurement of incipient shear bands in experiments to critically examine the Mohr-Coulomb yield criterion in MG systems.
机译:通常认为金属玻璃(MGs)的屈服取决于压力或法向应力,通常用Mohr-Coulomb屈服准则来描述。实验上,MG的剪切带角或断裂角的方向相对于加载方向在单轴压缩时大约为40°至42°,在单轴拉伸时大约为50°至59°。但是,在单轴拉伸和压缩条件下与最大剪切应力方向(45°)的偏离量相差很大,这似乎与Mohr-Coulomb屈服准则不一致。在这里,我们进行了分子动力学模拟,以研究Dzugutov模型玻璃在各种单轴和双轴应力状态下的初期可塑性。屈服点定义为除传统偏移方法外,参与非仿射变形的原子总数的急剧增加。这样创建的屈服面与Mohr-Coulomb屈服准则非常吻合。此外,还测量了胚胎剪切带的方向(而不是完全生长的剪切带或断裂平面),这些方向也遵循基于Mohr-Coulomb准则的预测。我们的模拟结果要求在实验中对初始剪切带进行定向测量,以严格检查MG系统中的Mohr-Coulomb屈服准则。

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