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arXiv 2204.07545cond-mat.softcond-mat.dis-nncond-mat.stat-mech
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有限温度下塑性变形非晶态固体的动态phase diagram

Dynamic phase diagram of plastically deformed amorphous solids at finite temperature

Daniel Korchinski, Jörg Rottler

摘要:

非晶态固体在无热准静态变形下发生的屈服转变一直是许多理论和计算研究的主题。在这里,我们扩展这个分析,包括在有限的剪切速率的热效应,专注于温度如何改变雪崩。我们推导出一个非平衡相图捕捉温度和应变率的影响如何竞争,雪崩重叠时,以及是否有限尺寸的影响占主导地位的温度效应。通过模拟的弹塑性模型在两个维度和平均场近似的预测进行了测试。我们发现一个新的缩放温度依赖性软化在低应变率制度时,雪崩不重叠,和温度依赖性赫歇尔-Bulkley指数在高应变率制度时,雪崩重叠。

英文摘要:

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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