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基于差分进化算法的铜合金材料成分设计策略

A composition design strategy for copper alloys based on differential evolution algorithm

  • 摘要: 针对Cu-Al-Ni-Fe-Mn多元铜合金体系传统试错成本高、难以在广域成分空间中协同优化多项性能的问题,本文构建了一套基于差分进化算法的铜合金材料成分设计框架。系统整合文献与工业数据共214条,经特征选择策略压缩,基于58种元素物理化学属性、工艺状态离散编码形成117维原始特征向量。针对抗拉强度、伸长率和腐蚀速率3项目标分别构建随机森林与多层感知机加权集成预测模型,将差分进化算法嵌入集成模型作为目标函数评估器,在成分约束空间内对多性能归一化加权偏差进行最小化搜索。结果表明,在将目标性能设定为抗拉强度不小于690 MPa、伸长率不小于17%、腐蚀速率不大于0.011 mm/a、工艺状态为退火的条件下,算法于第60代附近稳定收敛,推荐最优成分配比(质量分数)为Cu 80.2%、Al 9.70%、Ni 4.78%、Fe 2.91%、Mn 2.14%、Sn 0.055%、Si 0.134%、Zn 0.067%、Pb 0.015%,集成模型预测抗拉强度为690.000 2 MPa、伸长率为17.5%、腐蚀速率为0.014 4 mm/a。按上述配比制锭并经675 ℃-2 h退火处理后,实测抗拉强度均值为689 MPa、伸长率均值为16.75%、腐蚀速率为0.012 mm/a,3项性能均满足使用需求,抗拉强度与伸长率偏差均在2%以内。验证了所构建框架在铜合金多目标协同优化中的工程适用性,为高性能铜合金的智能化成分设计提供了可操作的技术路径。

     

    Abstract: To address the high trial-and-error cost and the difficulty in synergistically optimizing multiple properties within a wide composition space of the Cu-Al-Ni-Fe-Mn quinary copper alloy system, this study developed a composition design framework for copper alloys based on the differential evolution algorithm. A total of 214 sample data were collected by integrating literature data and industrial data. A 117-dimensional feature vector was constructed based on 58 elemental physicochemical properties and discrete encoding of process states, and the feature dimension was reduced through a feature selection strategy. Weighted ensemble prediction models combining random forest and multilayer perceptron algorithms were established separately for three target properties, including ultimate tensile strength, elongation, and corrosion rate. The differential evolution algorithm was embedded into the ensemble models as an evaluator of the comprehensive objective function to minimize the normalized weighted deviation of multiple performances in the constrained composition space. The results show that under the target conditions of ultimate tensile strength no less than 690 MPa, elongation no less than 17%, corrosion rate no more than 0.011 mm/a, and annealed process state, the algorithm achieves stable convergence at approximately the 60th generation. The optimized composition in mass fraction is determined as Cu 80.2%, Al 9.70%, Ni 4.78%, Fe 2.91%, Mn 2.14%, Sn 0.055%, Si 0.134%, Zn 0.067%, and Pb 0.015%. The ensemble model predicts that the corresponding ultimate tensile strength, elongation, and corrosion rate reach 690.000 2 MPa, 17.5%, and 0.014 4 mm/a, respectively. Ingots prepared with the optimized composition were annealed at 675 ℃ for 2 h. The measured average values of ultimate tensile strength, elongation, and corrosion rate are 689 MPa, 16.75%, and 0.012 mm/a, respectively, which fully satisfy the specified performance requirements. The deviations of ultimate tensile strength and elongation are both within 2%. The proposed framework exhibits engineering applicability for the multi-objective synergistic optimization of copper alloys, which provides a feasible technical approach for the intelligent composition design of high-performance copper alloys.

     

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