The morphology of the second phases formed during the solidification is irregular in many alloy systems, making precise simulation of their dissolved evolution difficult. In this work, a multi-particle spherical log-normal distribution was used to simulate the dissolution of such irregular second phase and took the as-cast Cu-Ti alloy as a case study. The dissolution of the as-cast Cu₄Ti phase was simulated via a multi-particle dissolution model integrating the CALPHAD-based diffusion theory (CALPHAD: CALculation of PHAse Diagrams) and high-throughput calculations. The 5041 sub-models (spherical log-normal distributions) replacing the size distribution of the as-cast Cu₄Ti phase were initially generated based on the mass balance. Then, $2.5\times {10}^6$ data points in 491 sub-models selected from 5041 sub-models were calculated to fit the experimental DSC curves based on the energy conservation, and the best-fitted sub-model could be determined finally. Based on this sub-model, the volumetric and energetic evolution of the as-cast Cu₄Ti phase during various dissolution processes could be predicted, and the simulated results were confirmed to be in agreement with the present experimental results. Also, a counterintuitive self-coarsening phenomenon of the Cu₄Ti phase has been observed during heating, which has been approved in the experimental work.

在许多合金体系中，凝固过程中形成的第二相的形态是不规则的，这使得对其溶解演化的精确模拟变得困难。在这项工作中，使用多粒子球形对数正态分布来模拟这种不规则第二相的溶解，并以铸态 Cu-Ti 合金为例进行研究。铸态 Cu ₄ Ti 相的溶解是通过多颗粒溶解模型模拟的，该模型结合了基于 CALPHAD 的扩散理论（CALPHAD：PHAse 图的计算）和高通量计算。取代铸态 Cu ₄ Ti 相尺寸分布的 5041 个子模型（球形对数正态分布）最初是基于质量平衡生成的。然后，$2.5\times {10}^6$从5041个子模型中选取491个子模型中的数据点进行计算，拟合基于能量守恒的实验DSC曲线，最终确定最佳拟合子模型。基于这个子模型，可以预测不同溶解过程中铸态 Cu ₄ Ti 相的体积和能量演化，并且模拟结果被证实与目前的实验结果一致。此外，在加热过程中观察到Cu ₄ Ti 相的反直觉自粗化现象，这已在实验工作中得到认可。