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Volume 12
Issue 10
10.3390/ma12101726
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Article

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

by
Tongyang Li
1,
Bin Zhao
1,*,
Xiqun Lu
1,
Hanzhang Xu
1 and
Dequan Zou
1,2
1
College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China
2
School of Medicine, Washington University in St. Louis, St. Louis, MO 63108, USA
*
Author to whom correspondence should be addressed.
Materials 2019, 12(10), 1726; https://doi.org/10.3390/ma12101726
Received: 26 March 2019 / Revised: 4 May 2019 / Accepted: 23 May 2019 / Published: 27 May 2019
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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. View Full-Text
Keywords: SnSbCu alloy; flow behavior; Johnson–Cook model; modified Zerilli–Armstrong model; Arrhenius-type model SnSbCu alloy; flow behavior; Johnson–Cook model; modified Zerilli–Armstrong model; Arrhenius-type model
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MDPI and ACS Style

Li, T.; Zhao, B.; Lu, X.; Xu, H.; Zou, D. A Comparative Study on Johnson Cook, Modified Zerilli–Armstrong, and Arrhenius-Type Constitutive Models to Predict Compression Flow Behavior of SnSbCu Alloy. Materials 2019, 12, 1726. https://doi.org/10.3390/ma12101726

AMA Style

Li T, Zhao B, Lu X, Xu H, Zou D. A Comparative Study on Johnson Cook, Modified Zerilli–Armstrong, and Arrhenius-Type Constitutive Models to Predict Compression Flow Behavior of SnSbCu Alloy. Materials. 2019; 12(10):1726. https://doi.org/10.3390/ma12101726

Chicago/Turabian Style

Li, Tongyang, Bin Zhao, Xiqun Lu, Hanzhang Xu, and Dequan Zou. 2019. "A Comparative Study on Johnson Cook, Modified Zerilli–Armstrong, and Arrhenius-Type Constitutive Models to Predict Compression Flow Behavior of SnSbCu Alloy" Materials 12, no. 10: 1726. https://doi.org/10.3390/ma12101726

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