A Comparative Study on Johnson Cook, Modified Zerilli–Armstrong, and Arrhenius-Type Constitutive Models to Predict Compression Flow Behavior of SnSbCu Alloy

Abstract

The flow behavior of the SnSbCu alloy is studied experimentally by the compression tests in the range of the strain rates from 0.0001 to 0.1 s−1 and temperature from 293 to 413 K. Based on the experimental data, three constitutive models including the Johnson–Cook (J–C), modified Zerilli–Armstrong (Z–A), and Arrhenius-type (A-type) models are compared to find out an optimum model to describe the flow behavior of the SnSbCu alloy. The results show that the J–C model could predict the flow behavior of the SnSbCu alloy accurately only at some specific strain rates and temperature near the reference values. The modified Z–A and A-type constitutive models can give better fitting results than the J–C model. While, at high strains, the predictive values of the modified Z–A model have larger errors than those at low strains, which means this model has limitations at high strains. By comparison, the A-type model could predict the experimental results accurately at the whole strain range, which indicates that it is a more suitable choice to describe the flow behavior of the SnSbCu alloy in the focused range of strain rates and temperatures. The work is beneficial to solve the tribological problem of the bearing of the marine engine by integrating the accurate constitutive model into the corresponding numerical model.

Constitutive Equations for Describing the Hot Compressed Behavior of TC4–DT Titanium Alloy

“…As a statistical parameter, the relative error is commonly employed to show the distribution of errors between the experimental and predicted values [ 6 ]. The relative error is calculated by comparing the data points and predictions via a term-by-term, which is shown in Equation (49).…”

“…Among all the phenomenological constitutive models, the strain-compensated Arrhenius-type model is widely used. Based on the flow stress of modified 9Cr–1Mo steel and SnSbCu Alloy, it was found that the strain-compensated Arrhenius-type model has higher prediction accuracy than the Johnson-Cook model and modified Zerilli–Armstrong model [ 5 , 6 ]. To predict the hot flow stress of 28CrMnMoV steel, Li et al [ 7 ] found the prediction accuracy of the strain-compensated Arrhenius-type model is higher than that of modified Johnson Cook, modified Zerilli–Armstrong equation.…”

Mechanical Properties of Spark Plasma Sintering-Processed Pure Ti and Ti-6Al-4V Alloys: A Comparative Study between Harmonic and Non-Harmonic Microstructures

“…N represents the total number of points considered in this work. As an example, Li et al [56] succeeded in comparing three constitutive models with the experimental values regarding a SnSbCu alloy thanks to these parameters. Computed R and AARE values are shown in Table 5, for the JC model, and Table 6, for the MJC model.…”

The Sensitivity of an Electro-Thermal Photovoltaic DC–DC Converter Model to the Temperature Dependence of the Electrical Variables for Reliability Analyses

“…The three thermal boundary conditions used are the surrounding air determined by the chosen ambient temperature, the temperature of the middle of the PCB determined by the conductive heat transfer of the surrounding components and the heat losses in the die generated by the conduction losses and the switching losses of the MOSFET. The Johnson-Cook constitutive material model, shown in Equation 3, is used to simulate the plastic behavior of the used metals [39]. In this equation, σ is the equivalent stress, is the equivalent plastic strain, A is the yield stress of the material under reference conditions, B is the strain hardening constant, n is the strain hardening coefficient and C is the strain rate factor.…”