Abstract Strengthening of basal slip could enhance formability of magnesium by decreasing the ratio of pyramidal to basal critical resolved shear stress (P/B CRSS ratio). Here solute strengthening of basal slip is predicted for a wide range of solutes as a function of temperature and solute concentration at experimental strain rates using a recently-developed parameter-free model. The model is simplified by approximating the solute/dislocation interaction energy as the sum of a misfit strain contribution and a stacking fault interaction term, with the dislocation stress field estimated using a Peierls-Nabarro-type model of the basal edge dislocation. The approach is validated against DFT results for both Al and Zn solutes, and the predicted strengths agree well with experiments. The model is then applied to predict basal strengthening of many other solutes versus temperature, with key parameters tabulated for general future use. Comparisons to experimental data on 0.5 at% Dy and 1.0 at% Y versus temperature show moderate agreement, and the predicted effects of deviatoric misfit strains are shown to be small. An analytic formula is developed to predict strengthening as a function of solute misfit volume and stacking fault energies, enabling rapid assessment for many solutes and their combinations because. the model naturally extends to multiple solutes. Predictions are made for a range of existing ternary and higher alloys. Overall, the analysis and models here provide an accurate and easy formulation for estimating basal solute strengthening in dilute multicomponent Mg alloys and thus estimating the P/B CRSS ratio.

中文翻译：

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镁合金基体滑移的溶质强化

摘要 基底滑移的强化可以通过降低锥体与基底临界分辨剪切应力之比（P/B CRSS 比）来提高镁的成形性。在这里，使用最近开发的无参数模型，在实验应变率下，根据温度和溶质浓度的函数预测了各种溶质的基础滑移的溶质强化。该模型通过将溶质/位错相互作用能量近似为失配应变贡献和堆垛层错相互作用项的总和来简化，位错应力场使用基底边缘位错的 Peierls-Nabarro 型模型估计。该方法针对 Al 和 Zn 溶质的 DFT 结果进行了验证，并且预测的强度与实验非常吻合。然后应用该模型来预测许多其他溶质的基础强化与温度的关系，并列出关键参数以供将来使用。与 0.5 at% Dy 和 1.0 at% Y 与温度的实验数据的比较显示出适度的一致性，并且偏差失配应变的预测影响显示很小。开发了一个分析公式来预测作为溶质错配体积和堆垛层错能量的函数的强化，从而能够对许多溶质及其组合进行快速评估。该模型自然地扩展到多种溶质。对一系列现有的三元和更高合金进行了预测。总体而言，此处的分析和模型为估算稀多组分镁合金中的基础溶质强化提供了准确且简单的公式，从而估算了 P/B CRSS 比。