Determination of AISI 1045 Steel Constitutive Model by Cutting Experiment Inverse Analysis Methods

Abstract

Based on the Merchant shear angle theory, two-dimensional high-speed orthogonal cutting experiments with an ‘OXCUT’ flow stress inverse procedure were used to determine the Johnson-Cook constitutive constants of the AISI 1045 steel (195HB). The constitutive constants obtained in the strain range 1.3-1.4 and large strain rate range 6106-7106/s. It is verified by experiments, and the result shows that the cutting forces are within the permissible error range. Compared the constitutive model with Hu’s, the cutting forces of this constitutive model of FEM are closer to the measurement, while the feed force has a relatively larger gap.

The advance of research on constitutive model used in finite element simulation of metal cutting

“…The maximum error of the cutting force of aluminium-alloyed UHC-steel is 26%. Qiu et al 71 compared the constitutive model by the inversion method with the initial Johnson-Cook constitutive model and the other constitutive models. The accuracy of the obtained constitutive model was verified (the error is within 5%).…”

“…Qiu 71 and Naik 90 determined the Johnson-Cook constitutive parameters of AISI 1045 steel by inversion method. Hu 91 studied the stress-strain relationship of AISI 1045 steel under the temperature range of 25 to 300°C and the strain rate range of 10 À4 ∼ 10 3 s À1 .…”

Research on Cutting Force based on Thermal-mechanical Coupling Precision Modeling

“…A is the yield stress, B is the hardening modulus, and C, m and n are the material's characteristic factor, thermal softening factor and work hardening index. The above parameters are selected as the optimal constitutive parameters reversely solved by the improved finite element method [3], as shown in table 2.…”

“…Establishing accurate cutting geometry model and constitutive model before simulation is a key step for accurately outputting important parameters such as cutting force and residual stress. In the study of dynamic constitutive model, Tang Qi [3] et al Ke Yinglin et al [4,5] proposed a finite element model combined with the calculation of the single factor flow stress formula for modeling and a Thermal-mechanical coupling model based on the elastoplastic finite element equation. A dynamic constitutive model was established and the correctness of the model was verified; Wang Jingping [6] established the physical model of milling on the ABAQUS platform, compared the simulated cutting force with the software simulated cutting using Hopkinson bar impact experiments to obtain the material constitutive parameters.…”