Fractional strain-gradient plasticity
Fractional strain-gradient plasticity
复制标题
分数应变梯度塑性
DOI：
10.1016/j.euromechsol.2019.02.006
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
M. Ortiz
中科院分区：
文献类型：
--
作者：
C. Dahlberg;M. Ortiz
我们开发了一种基于塑性应变的分数阶导数的应变梯度塑性理论，并评估了其重现 Mu 等人最近的实验所揭示的比例定律和尺寸效应的能力。 (2014, 2016, 2017) 进行塑性约束简单剪切的铜薄层。我们表明，如果通过塑性应变的分数阶导数来量化塑性应变分布的不均匀性，则可以解决传统应变梯度塑性与实验数据之间的尺寸尺度差异。特别是，该理论预测尺寸缩放指数等于塑性应变导数的分数阶，这在屈服应力的尺寸缩放和分数之间建立了直接联系。
We develop a strain-gradient plasticity theory based on fractional derivatives of plastic strain and assess its ability to reproduce the scaling laws and size effects uncovered by the recent experiments of Mu et al. (2014, 2016, 2017) on copper thin layers undergoing plastically constrained simple shear. We show that the size-scaling discrepancy between conventional strain-gradient plasticity and the experimental data is resolved if the inhomogeneity of the plastic strain distribution is quantified by means of fractional derivatives of plastic strain. In particular, the theory predicts that the size scaling exponent is equal to the fractional order of the plastic-strain derivatives, which establishes a direct connection between the size scaling of the yield stress and fractionality.