基于灰色系统理论的TiVNbMo高固溶合金强塑性演变规律分析  

Analysis of the Strong Plastic Evolution of TiVNbMo High Solid Solution Alloy Based on Grey System Theory

作　　者：李洲 徐再东 武保林 傅霄云 万刚 张璐 LI Zhou;XU Zaidong;WU Baolin;FU Xiaoyun;WAN Gang;ZHANG Lu(School of Materials Science and Engineering,Shenyang University of Aeronautics and Astronautics,Shenyang 110136;Liaoning Provincial Key Laboratory of Aviation Light Alloy and Processing Technology,Shenyang 110136;School of Materials Science and Engineering,Northeastern University,Shenyang 110819)

机构地区：[1]沈阳航空航天大学材料科学与工程学院,沈阳110136 [2]辽宁省航空轻合金及加工技术重点实验室,沈阳110136 [3]东北大学材料科学与工程学院,沈阳110819

出　　处：《机械工程学报》2024年第18期173-182,共10页Journal of Mechanical Engineering

基　　金：中央军委科技委资助项目(JH2020001)。

摘　　要：在电子浓度VEC约束条件下,基于最大熵原则,设计并制备一组Ti VNb Mo高固溶合金。经过1200℃/24h均匀化处理后,合金呈成分均匀的单一BCC固溶体单相组织。根据室温拉伸力学性能测试获得的数据,基于灰色系统理论相关性理论和GM(1,N)模型,计算屈服强度、塑性与平均原子平均半径r^(*)、电子浓度VEC、电子键级Bo、d电子层转移能量Md、原子错配度δ以及剪切模量G这些物理参量间的关联度,得出合金的强度、塑性与各已知物理参量之间的相关关系;对屈服强度进行了预测。作为对比,同时利用固溶强化模型对合金的拉伸强度进行计算分析。结果表明,屈服强度与各物理参量间的关联序为:G>δ>VEC>Bo>r^(*)>Md;拉伸伸长率与各物理参量间的关联序为:Md>r^(*)>Bo>VEC>δ>G。剪切模量G和原子错配度δ是对强塑性影响最大的物理参量。选取关联度最大的G、δ、VEC和Bo物理参量,基于GM(1,5)模型计算的屈服强度与试验结果之间的误差较小,具有比传统固溶强化模型更好的适配度。According to the maximum entropy principle,a series of TiVNbMo alloys were prepared based on the design under the valence electron concentration(VEC)constraint.After homogenization at 1200℃/24 h,the alloys showed a microstructure of BCC single solid solution phase with uniform composition.The relationships of yield strength and ductility,respectively,to the mean atomic mean radius r^(*),VEC,electron bonding order(Bo),d electron transfer energy Md,atomic mismatchδand shear modulus G were analyzed based on the correlation method and the GM(1,N)model of the grey system theory,and the yield strength of the alloys was well predicted based on the physical parameters.For a comparison,the tensile strength of the alloys was also calculated using the solid solution strengthening model.The results showed that the correlation between the yield strength and the physical parameters is ordered by G>δ>VEC>Bo>r^(*)>Md;the correlation between the ductility and the physical parameters is ordered by Md>r^(*)>Bo>VEC>δ>G.The shear modulus G and the atomic mismatchδare the physical parameters that have the greatest influence on the strength and ductility.By selecting the physical parameters G,δ,VEC and Bo which have the higher correlation order,the yield strength predicted based on the GM(1,5)model has a smaller error respect to the experimental results and is more convenient to be used than the conventional solid solution strengthening model.

关 键 词：TiVNbMo高固溶合金 灰色系统理论GM(1 N)模型 物理参量 灰色关联度 

分 类 号：TG146[一般工业技术—材料科学与工程]