论文标题
将机器学习与机械模型整合,以预测高熵合金的屈服强度
Integrating Machine Learning with Mechanistic Models for Predicting the Yield Strength of High Entropy Alloys
论文作者
论文摘要
加速具有针对性特性的材料设计是关键材料信息学任务之一。最常见的方法采用数据驱动的动机,其中基础知识以域启发的输入功能的形式合并。然后建立机器学习(ML)模型以建立输入输出关系。另一种方法涉及利用机械模型,其中域知识以预定义的功能形式合并。这些机械模型是通过观测值对特定假设进行了精心制定的,并结合了数据驱动的ML方法中缺少因果关系的要素。在这项工作中,我们展示了一种计算方法,该方法将机械模型与现象学和ML模型集成在一起,以快速预测在单相面部以中心的立方体(FCC)结构中形成的高熵合金(HEAS)的温度依赖性屈服强度。我们的主要贡献在于建立重分组成与温度依赖性弹性常数之间的定量关系。这使我们能够在机械模型中改善弹性恒定不匹配对实体强化效果的处理,这对于可靠的屈服强度作为基于单相FCC的HEAS中温度的函数非常重要。我们通过将贝叶斯推断与集合ML方法相结合来实现这一目标。结果是弹性常数的概率分布,当通过机械模型传播时,会产生依赖温度依赖性屈服强度的预测以及不确定性。预测的屈服强度与已发表的实验数据表现出良好的一致性,使我们有信心应用开发的方法,以快速搜索基于FCC的新型HEAS,并在各种温度下具有出色的产量强度。
Accelerating the design of materials with targeted properties is one of the key materials informatics tasks. The most common approach takes a data-driven motivation, where the underlying knowledge is incorporated in the form of domain-inspired input features. Machine learning (ML) models are then built to establish the input-output relationships. An alternative approach involves leveraging mechanistic models, where the domain knowledge is incorporated in a predefined functional form. These mechanistic models are meticulously formulated through observations to validate specific hypotheses, and incorporate elements of causality missing from data-driven ML approaches. In this work, we demonstrate a computational approach that integrates mechanistic models with phenomenological and ML models to rapidly predict the temperature-dependent yield strength of high entropy alloys (HEAs) that form in the single-phase face-centered cubic (FCC) structure. Our main contribution is in establishing a quantitative relationship between the HEA compositions and temperature-dependent elastic constants. This allows us to improve the treatment of elastic constant mismatch to the solid solution strengthening effect in the mechanistic model, which is important for reliable prediction of yield strength as a function of temperature in single-phase FCC-based HEAs. We accomplish this by combining Bayesian inference with ensemble ML methods. The outcome is a probability distribution of elastic constants which, when propagated through the mechanistic model, yields a prediction of temperature-dependent yield strength, along with the uncertainties. The predicted yield strength shows good agreement with published experimental data, giving us confidence in applying the developed approach for the rapid search of novel FCC-based HEAs with excellent yield strength at various temperatures.