Ultrasonic vibration has been applied in the incremental sheet forming process and shows the potential to reduce the forming force and increase the formability, but the constitutive behavior and deformation behaviors of material under the high-frequency vibration are still not completely explained. In the present work, a hybrid constitutive model which combines the phenomenological, thermal activation and dislocation annihilation models is established and experimentally calibrated. Then, a finite element model is developed for the ultrasonic-assisted incremental sheet forming (UISF), in which the hybrid constitutive model and a user defined subroutine were incorporated to describe the ultrasonic effect and to simulate the high-frequency vibration, respectively. Compared with the experimental forming force, the FE analysis with the hybrid constitutive model shows good predictability with errors less than 10 %. Based on the simulation results, the improvement of formability was observed and the material deformation behavior during ultrasonic-assisted incremental sheet forming was analyzed in detail. Moreover, the material microstructural features were analyzed through Electron Back Scatter Diffraction (EBSD). The occurrence of relative larger grains and the increase of low angle grain boundaries (LAGBs) indicates the occurrence of ultrasonic-actuated dynamic recovery of the material.

超声波振动已应用于渐进式板材成形过程，并显示出降低成形力和提高成形性的潜力，但高频振动下材料的本构行为和变形行为仍未完全解释。在目前的工作中，建立了一个结合了现象学、热激活和位错湮灭模型的混合本构模型并进行了实验校准。然后，开发了超声辅助增量板成形 (UISF) 的有限元模型，其中混合本构模型和用户定义的子程序分别用于描述超声效应和模拟高频振动。与实验成形力相比，使用混合本构模型的有限元分析显示出良好的可预测性，误差小于 10%。基于模拟结果，观察了成形性的改善，并详细分析了超声波辅助增量板成形过程中的材料变形行为。此外，通过电子背散射衍射 (EBSD) 分析了材料的微观结构特征。相对较大晶粒的出现和小角度晶界（LAGBs）的增加表明材料发生了超声驱动的动态恢复。通过电子背散射衍射 (EBSD) 分析材料的微观结构特征。相对较大晶粒的出现和小角度晶界（LAGBs）的增加表明材料发生了超声驱动的动态恢复。通过电子背散射衍射 (EBSD) 分析材料的微观结构特征。相对较大晶粒的出现和小角度晶界（LAGBs）的增加表明材料发生了超声驱动的动态恢复。