The sequence of deformation bursts during plastic deformation exhibits scale-free features. In addition to the burst or avalanche sizes and the rate of avalanches the process is characterized by correlations in the series which become manifest in the resulting shape of the stress-strain curve. We analyze such features of plastic deformation with two-dimensional and three-dimensional simulations of discrete dislocation dynamics models and we show that only with severe plastic deformation the ensuing memory effects become negligible. The role of past deformation history and dislocation pinning by disorder are studied. In general, the correlations have the effect of reducing the scatter of the individual stress-strain curves around the mean one.

中文翻译：

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离散位错塑性中的雪崩相关性和应力应变曲线

塑性变形过程中的变形爆发序列表现出无标度特征。除了爆发或雪崩大小和雪崩速率之外，该过程的特征在于系列中的相关性，这些相关性在应力-应变曲线的最终形状中变得明显。我们通过离散位错动力学模型的二维和三维模拟分析了塑性变形的这些特征，我们表明只有在严重的塑性变形下，随后的记忆效应才可以忽略不计。研究了过去的变形历史和无序位错钉扎的作用。一般而言，相关性具有减少单个应力-应变曲线围绕平均曲线的分散的效果。