微尺度下的屈服和不可逆变形：表面效应和非平均场塑性雪崩
Yielding and irreversible deformation below the microscale: Surface effects and non-mean-field plastic avalanches
摘要：
纳米压痕技术最近发展到外部负载条件下测量晶体的机械响应揭示了新的现象后，减少样品尺寸低于微米尺度。在小的长度尺度下，材料对不可逆变形的抵抗力取决于样品的形态。在这里，我们研究的机制，屈服和塑性流动的内在小晶体单轴压缩。离散的结构重排在应力-应变曲线中表现为一系列突然的不连续性。我们得到的理论依赖的屈服应力系统的尺寸和几何形状和阐明的统计特性的塑性形变在这样的尺度。我们的研究结果表明，位错存储的情况下，导致至关重要的影响塑性事件的统计，最终影响在较大尺度上观察到的普遍标度行为。
英文摘要：
Nanoindentation techniques recently developed to measure the mechanical response of crystals under external loading conditions reveal new phenomena upon decreasing sample size below the microscale. At small length scales, material resistance to irreversible deformation depends on sample morphology. Here we study the mechanisms of yield and plastic flow in inherently small crystals under uniaxial compression. Discrete structural rearrangements emerge as series of abrupt discontinuities in stress-strain curves. We obtain the theoretical dependence of the yield stress on system size and geometry and elucidate the statistical properties of plastic deformation at such scales. Our results show that the absence of dislocation storage leads to crucial effects on the statistics of plastic events, ultimately affecting the universal scaling behavior observed at larger scales.
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