Constitutive model of 6063 aluminum alloy under the ultrasonic vibration upsetting based on Johnson-Cook model

Establishing an accurate constitutive relation in ultrasonic vibration assisted metal forming, can provides a reliable theoretical basis for analyzing the mechanism of the ultrasonic vibration on materials. A constitutive model of 6063 aluminum alloy under the ultrasonic vibration upsetting at room temperature was constructed based on Johnson-Cook Model and experimental results. The influence of amplitude and frequency on the yield strength, hardening coefficient and exponent were analyzed quantitatively. Results showed that the yield strength was reduced due to the softening effect induced by the ultrasonic vibration. The maximum decreasing amount was 68.8% when imposing the maximum ultrasonic energy in this study. The hardening coefficient and exponent increased by 10.9% and 16.6% in maximum, respectively. However, the ultrasonic vibration has little impact on the strain rate hardening. The modified Johnson-Cook constitutive model under the ultrasonic vibration upsetting was established and was in good agreement with the experimental results.