The modeling of ultrasonic assisted grinding (UAG) force for ceramic matrix composites (CMCs) is extremely complex due to the heterogeneous and anisotropic characteristics, further limiting the in-depth comprehension of the UAG mechanism of CMCs. In this paper, the grinding force prediction model of SiC_f/SiC composites in UAG was proposed, which has taken into account the anisotropic and heterogeneous characteristics of SiC_f/SiC composites and the interaction state of grain and material. According to the results, the multi-scale elastic mechanical model and equivalent fracture toughness proposed in this study can be well applied in the ultrasonic assisted grinding force modeling of ceramic matrix composites. And the normal and tangential grinding forces are predicted with an average error of 9.29%, 6.16%, respectively. In addition, the grinding force exhibits a significant correlation with fiber orientation. It is attributed to the fact that the fiber orientation influences the crack propagation path; meanwhile, the complex and diverse crack propagation paths make the degree of fluctuation of grinding force and the energy required for material removal varied along different fiber orientations, which consequently affects the grinding force magnitude along different fiber orientations.

陶瓷基复合材料 (CMC) 的超声辅助研磨 (UAG) 力的建模由于其异质性和各向异性特性而极其复杂，进一步限制了对 CMC 的 UAG 机制的深入理解。本文提出了UAG中SiC _f /SiC复合材料的磨削力预测模型，该模型考虑了SiC _{f /的各向异性和异质性特征}碳化硅复合材料及晶粒与材料的相互作用状态。结果表明，本研究提出的多尺度弹性力学模型和等效断裂韧性可以很好地应用于陶瓷基复合材料的超声辅助磨削力建模。预测法向和切向磨削力的平均误差分别为 9.29%、6.16%。此外，研磨力与纤维取向有显着相关性。这是由于纤维取向影响裂纹扩展路径；同时，复杂多样的裂纹扩展路径使得磨削力的波动程度和材料去除所需的能量沿不同的纤维取向变化，