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IssuesArchive of Issues2025-6pp.5401-5415

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Song Hyok Ko, Kyong Ho Sim, Chol Song Ryang, and Hyon Song Pak, "Comparisons of Modified Constitutive Models to Predict Flow Stress of Mg-13Gd-3.5Y-2Zn-0.5Zr Alloy in Hot Compression," Mech. Solids. 60 (6), 5401-5415 (2025)
Year 2025 Volume 60 Number 6 Pages 5401-5415
DOI 10.1134/S0025654425603155
Title Comparisons of Modified Constitutive Models to Predict Flow Stress of Mg-13Gd-3.5Y-2Zn-0.5Zr Alloy in Hot Compression
Author(s) Song Hyok Ko (Faculty of Materials Science and Technology, Kim Chaek University of Technology, Pyongyang, 999093 Democratic People’s Republic of Korea)
Kyong Ho Sim (Faculty of Materials Science and Technology, Kim Chaek University of Technology, Pyongyang, 999093 Democratic People’s Republic of Korea, sgh83818@star-co.net.kp)
Chol Song Ryang (Faculty of Materials Science and Technology, Kim Chaek University of Technology, Pyongyang, 999093 Democratic People’s Republic of Korea)
Hyon Song Pak (Faculty of Materials Science and Technology, Kim Chaek University of Technology, Pyongyang, 999093 Democratic People’s Republic of Korea)
Abstract The true stress-true strain curves of a Mg-13Gd-3.5Y-2Zn-0.5Zr alloy were acquired by isothermal compression tests at various deformation temperatures of 350–500°C and strain rates of 0.001–1 s−1. The Johnson-Cook, strain-compensated Arrhenius-type and microstructure-based models were developed and further modified to improve a prediction accuracy. The determination coefficient and average absolute relative error were 0.9380, 10.67% for the modified Johnson-Cook model, 0.9536, 6.38% for the strain-compensated Arrhenius-type model, and 0.9813, 3.37% for the microstructure-based model, respectively. As a result, the modified Johnson-Cook model and the Arrhenius-type model could not correctly predict the high-temperature flow stress of this alloy. Meanwhile, the microstructure-based model is best suited for the prediction of high-temperature flow stress due to its very high prediction accuracy, although the calculation process is very complex. The proposed constitutive material models are of great importance in the simulation and optimization of hot working processes of Mg-13Gd-3.5Y-2Zn-0.5Zr alloys.
Keywords Mg-13Gd-3.5Y-2Zn-0.5Zr alloy, Johnson-Cook model, Arrhenius-type model, micro- structure-based model, high-temperature flow stress
Received 16 June 2025Revised 10 September 2025Accepted 11 September 2025
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