Ultrasonic vibration (UV) assisted plastic forming technology is an ideal way to improve the formability of titanium and its alloys at room temperature, due to the softening effect which is more effective than thermal input. Thus, UV assisted compression test of commercially pure titanium is carried out and the deformation behavior is focused in this study. For an accurate prediction of the flow behavior and further application in UV forming process, the original Johnson–Cook (JC) model and its modified formulae have been adopted to construct the constitutive relation of pure titanium deformed with high-frequency oscillation. The yield stress reduction is related to both the amplitude and its square. The other material constants in JC model are established as the function of the amplitude. The comparative analysis of the predicted stress through the built JC model with the measured one is performed, showing the improved JC model can precisely describe the stress-strain relation in a large deformation range at different vibration amplitudes and strain rates.

超声波振动（UV）辅助的塑料成型技术是一种改善钛及其合金在室温下可成型性的理想方法，这是因为其软化效果比热输入更有效。因此，进行了商业上纯钛的紫外线辅助压缩试验，并着重研究了变形行为。为了准确预测流动行为并进一步在UV成形过程中应用，已采用原始的Johnson-Cook（JC）模型及其修改公式来构造经高频振荡变形的纯钛的本构关系。屈服应力的减小与振幅及其平方有关。建立JC模型中的其他材料常数作为振幅的函数。