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Examining the evolution of the internal length as a function of plastic strain

机译：检查内部长度随塑性应变的变化

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Recent studies have successfully related gradient plasticity with discrete dislocation dynamics (DDD), providing estimates for the internal length scale parameter and relating it to characteristics of deformation such as the dislocation source length and dislocation source spacing. In those studies the internal length was taken to be a constant throughout plastic deformation, which however may not be physically the case as the dislocation structure evolves with deformation and there have been theoretical models suggesting an internal length that is a function of the plastic strain. In the present study, hence, when fitting the gradient plasticity expressions to the DDD data, the internal length was treated as a 'free' fit parameter for different strain levels, providing different values for the internal length throughout deformation. The results indicate that when deformation occurred in a hardening manner, the internal length decreased with increasing deformation, since the dislocation structure became denser. If however, deformation occurred in a perfectly plastic manner the internal length remained relatively constant throughout the different strain levels.
机译：最近的研究已经成功地将梯度可塑性与离散位错动力学（DDD）相关联，提供了内部长度尺度参数的估计，并将其与变形特征相关，例如位错源长度和位错源间距。在那些研究中，内部长度被认为在整个塑性变形中是恒定的，但是，由于位错结构随变形而发展，因此在物理上可能并非如此，并且已有理论模型表明内部长度是塑性应变的函数。因此，在本研究中，当将梯度可塑性表达式拟合到DDD数据时，内部长度被视为针对不同应变水平的“自由”拟合参数，从而在整个变形过程中为内部长度提供了不同的值。结果表明，当以硬化方式发生变形时，由于位错结构变得更致密，内部长度随着变形的增加而减小。但是，如果以完全塑性的方式发生变形，则内部长度在不同的应变水平上都保持相对恒定。

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