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综合考虑镍基合金γ'相中原子尺寸失配和电负性因素对γ'相亚点阵成分的影响, 建立了用于预测γ'相亚点阵成分的最优化数学模型.根据已知的 '相成分, 采用迭代替换方法确定优化问题中亚点阵成分变量的取值范围,运用分层宽容多目标优化法, 计算了γ'相中合金元素在Ni位置和Al位置的浓度. 利用已知γ'相成分和点阵常数数据对计算结果进行了验证, 证实了该方法的可用性及其准确性.

The effects of mismatch in atomic size and electronegativity of alloying elements on the elemental concentration of sublattices of γ' phase in Ni base superalloys were investigated. The mathematic model of optimizations was established to predict the elemental concentration of sublattices of γ' phase. Ranges of the selected values of concentration variables were determined by use of the iterative and substitutional method. Based on chemical compositions of the γ' phase, the elemental content at the Ni and Al sites in the γ'phase can be calculated with the layered multi-objective optimization algorithm with tolerance. Using the reported data on both the chemical compositions and the lattice parameters of γ' phase, a comparison between the predicted and the reported values of lattice parameters was made through the application of the predicted values of the elemental concentrations of the γ'sublattices to verify the feasibility and the accuracy of the present method.

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