论文标题

在有限温度下塑性变形的无定形固体的动态相图

Dynamic phase diagram of plastically deformed amorphous solids at finite temperature

论文作者

Korchinski, Daniel, Rottler, Jörg

论文摘要

在无定形固体中发生的屈服过渡是许多理论和计算研究的主题。在这里,我们将此分析扩展到以有限的剪切速率以热效应,重点是温度如何改变雪崩。我们得出一个非平衡相图,以捕获温度和应变速率的竞争,当雪崩重叠时的竞争方式以及有限大小的效应是否占主导地位而不是温度效应。通过在二维和平均场近似中对弹性塑性模型的模拟进行测试。当雪崩不重叠时,我们发现了一个新的缩放量表,可在低应变速率上进行温度依赖性软化,而当雪崩重叠时,在高应变速率方面依赖温度依赖性的Herschel-Bulkley指数。

The yielding transition that occurs in amorphous solids under athermal quasistatic deformation has been the subject of many theoretical and computational studies. Here, we extend this analysis to include thermal effects at finite shear rate, focusing on how temperature alters avalanches. We derive a nonequilibrium phase diagram capturing how temperature and strain rate effects compete, when avalanches overlap, and whether finite-size effects dominate over temperature effects. The predictions are tested through simulations of an elastoplastic model in two dimensions and in a mean-field approximation. We find a new scaling for temperature-dependent softening in the low-strain rate regime when avalanches do not overlap, and a temperature-dependent Herschel-Bulkley exponent in the high strain rate regime when avalanches do overlap.

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