AccScience Publishing / MSAM / Online First / DOI: 10.36922/MSAM026360092
Cite this article
4
Download
23
Views
Related Info Links
More by Authors Links
Journal Browser
Volume | Year
Issue
Search
News and Announcements
View All
ORIGINAL RESEARCH ARTICLE

Taylor-modified Johnson–Cook constitutive model for pure copper produced using PBF-LB with a green laser source

Feihong Zhao1 ,  Shuang Zhao1* ,  Jing Cao2 ,  Tie Han3 ,  Jinghui Wei3 ,  Liwei Yang3 ,  Chun Cheng4 ,  Wenhui Shi4
Show Less
1 School of Equipment Engineering, Shenyang Ligong University, Shenyang, Liaoning , China
2 North Hua’an Industry Group Co., Ltd., Qiqihar, Heilongjiang , China
3 Unit 92840 of People’s Liberation Army, Qingdao, Shandong , China
4 MOE Key Laboratory of Impact and Safety Engineering, Ningbo University, Ningbo, Zhejiang , China
Received: 6 September 2026 | Revised: 6 October 2026 | Accepted: 9 October 2026 | Published online: 22 October 2026
© 2026 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
Abstract

Green-laser powder bed fusion offers a route to fabricate dense pure-copper components, but process-induced microstructural heterogeneity complicates their dynamic response at very high strain rates. This study combines quasi-static tension and compression tests, dynamic compression tests using a split Hopkinson pressure bar, and Taylor impact tests to calibrate and validate a modified Johnson–Cook constitutive model. The strain-hardening constants A, B, and n were first fitted from quasi-static data, and an initial strain-rate sensitivity coefficient C was estimated from the dynamic compression tests. Because these tests covered strain rates only up to approximately 3 × 103 s−1, finite-element simulations of Taylor impact tests were used to refine C against the residual length and maximum upset diameter of the recovered specimens. The 122 m/s impact condition alone was used to optimize C; the 166 m/s and 204 m/s conditions were reserved for independent validation. The optimized C value was 0.059, compared with an initial C value of 0.037638. The corrected model yielded global relative errors of 0.1596% and 0.1259% for the two validation conditions, respectively. These results show that combining dynamic compression and Taylor impact data improves predictions for green-laser powder-bed-fused copper under the tested build orientation and loading conditions.

Keywords
Green-laser powder bed fusion
Pure copper
Johnson–Cook constitutive model
Taylor impact test
Dynamic mechanical properties
Funding
This work was supported by the Natural Science Foundation of Zhejiang Province (Grant No. LQN25A020005), the National Natural Science Foundation of China (Youth Program) (Grant No. 12202285), the Shenyang Science and Technology Talent Special Project (Grant No. RC230925), and the Project of the Department of Education of Liaoning Province (Grant No. LG212410144045).
Conflict of interest
Jing Cao is an employee of North Hua’an Industry Group Co., Ltd., while Tie Han, Jinghui Wei, and Liwei Yang are from Unit 92840 of the People’s Liberation Army; however, they were not involved in any activities that could constitute a conflict of interest in relation to this study. The authors declare they have no competing interests.
References
  1. Blakey-Milner B, Gradl P, Snedden G, et al. Metal additive manufacturing in aerospace: a review. Mater Des. 2021;209:110008. doi: 10.1016/j.matdes.2021.110008
  2. Madhavadas V, Srivastava D, Chadha U, et al. A review on metal additive manufacturing for intricately shaped aerospace components. CIRP J Manuf Sci Technol. 2022;39:18-36. doi: 10.1016/j.cirpj.2022.07.005
  3. Atalie D, Guo ZS, Berihun D, Tadesse M, Ma PC. Role of additive manufacturing in defense technologies: emerging trends and future scope. In: Rangappa SM, Ayyappan V, Siengchin S, eds. Additive Manufacturing Materials and Technology. Amsterdam, Netherlands: Elsevier; 2024:501-521. doi: 10.1016/B978-0-443-18462-8.00020-9
  4. Hassanin H, Sheikholeslami G, Sareh P, Ishaq RB. Microadditive manufacturing technologies of 3D microelectromechanical systems. Adv Eng Mater. 2021;23(12):e2100422. doi: 10.1002/adem.202100422
  5. British Standards Institution. Additive Manufacturing — General Principles — Fundamentals and Vocabulary. BS EN ISO/ASTM 52900:2021. London, England: British Standards Institution; 2021.
  6. Nordet G, Gorny C, Mayi Y, et al. Absorptivity measurements during laser powder bed fusion of pure copper with a 1 kW cw green laser. Opt Laser Technol. 2022;147:107612. doi: 10.1016/j.optlastec.2021.107612
  7. Wrobel R, Mecrow BC. A comprehensive review of additive manufacturing in construction of electrical machines. IEEE Trans Energy Convers. 2020;35(2):1054-1064. doi: 10.1109/TEC.2020.2964942
  8. Singh G, Pandey PM. Uniform and graded copper open cell ordered foams fabricated by rapid manufacturing: surface morphology, mechanical properties and energy absorption capacity. Mater Sci Eng A. 2019;761:138035. doi: 10.1016/j.msea.2019.138035
  9. Lu P, Zhang CL, Liu T, et al. Molten pool structure and temperature flow behavior of green-laser powder bed fusion pure copper. Mater Res Express. 2022;9(1):016504. doi: 10.1088/2053-1591/ac327a
  10. Paddock-Lamb R, Khanbolouki P, Cullinan M, Tehrani M. Near-infrared laser powder bed fusion of pure copper: post-processing and structure–property relationships. J Mater Res Technol. 2026;40:1665-1673. doi: 10.1016/j.jmrt.2025.12.227
  11. Wei Y, Chen G, Xiao Z, et al. Microstructures and mechanical properties of pure copper manufactured by high-strength laser powder bed fusion. Opt Laser Technol. 2025;182:112134. doi: 10.1016/j.optlastec.2024.112134
  12. Wang D, Li K, Yao J, Du B, Xu Y. Porosity, texture, and mechanical properties of pure copper fabricated by fine green laser powder bed fusion. Opt Laser Technol. 2025;181:112009. doi: 10.1016/j.optlastec.2024.112009
  13. Ning Z, Hu H, Zhao T, Wang S, Song M. Enhanced electrical and mechanical properties of additively manufactured pure copper with green laser. J Mater Process Technol. 2024;334:118615. doi: 10.1016/j.jmatprotec.2024.118615
  14. Schäfle MB, Gärtner J, Nahr F, Bruder E, Schmidt M, Kirchner E. Process development for green laser LPBF of pure Cu using dimensionless numbers. Prog Addit Manuf. 2025;10(10):8179-8196. doi: 10.1007/s40964-025-01105-5
  15. Maly M, Koutny D, Pantelejev L, Pambaguian L, Palousek D. Effect of high-temperature preheating on pure copper thick-walled samples processed by laser powder bed fusion. J Manuf Process. 2022;73:924-938. doi: 10.1016/j.jmapro.2021.11.035
  16. Edington JW. The influence of strain rate on the mechanical properties and dislocation substructure in deformed copper single crystals. Philos Mag. 1969;19(162):1189-1206. doi: 10.1080/14786436908228644
  17. Stevenson ME, Jones SE, Bradt RC. The high strain rate dynamic stress-strain curve for OFHC copper. J Soc Mater Sci Jpn. 2003;52(9):Appendix_187. doi: 10.2472/jsms.52.9Appendix_187
  18. Feng Z, Fan X, Li Y, Ming L, Suo T. Temperature and strain rate sensitivity of ultrafine-grained copper under uniaxial compression. Int J Appl Mech. 2013;5(2):1350016. doi: 10.1142/S1758825113500166
  19. Mishra A, Martin M, Thadhani NN, Kad BK, Kenik EA, Meyers MA. High-strain-rate response of ultra-fine-grained copper. Acta Mater. 2008;56(12):2770-2783. doi: 10.1016/j.actamat.2008.02.023
  20. Scapin M, Peroni L, Fichera C. Investigation of dynamic behaviour of copper at high temperature. Mater High Temp. 2014;31(2):131-140. doi: 10.1179/1878641314y.0000000006
  21. Deshpande VM, Chakraborty T, Chakraborty P, Tiwari V. Application of copper as a pulse shaper in SHPB tests on brittle materials: experimental study, constitutive parameters identification, and numerical simulations. Mech Mater. 2022;171:104336. doi: 10.1016/j.mechmat.2022.104336
  22. Jočbalis G, Kačianauskas R, Borodinas S, Rojek J. Comparative numerical study of rate-dependent continuum-based plasticity models for high-velocity impacts of copper particles against a substrate. Int J Impact Eng. 2023;172:104394. doi: 10.1016/j.ijimpeng.2022.104394
  23. Du Y, Xu Z, Hu H, Su M, Hu A, Huang F. Constitutive modelling and validating of annealed copper under various stress states, strain rates and temperatures. Int J Solids Struct. 2025;313:113312. doi: 10.1016/j.ijsolstr.2025.113312
  24. Yılmaz MS, Kayacan MY, Alshihabi M. Evaluation of energy absorption performance and Johnson–Cook parameters of lattice-structured steel parts manufactured via SLM. Int J Adv Manuf Technol. 2025;137(9-10):5293-5306. doi: 10.1007/s00170-025-15463-5
  25. Maleki E, Bidar A, Rahmdel K, Shao S, Shamsaei N. Laser beam powder bed fused AlSi10Mg: an overview on the effect of post-processing on the microstructure and mechanical properties. Mater Des. 2026;261:115336. doi: 10.1016/j.matdes.2025.115336
  26. Liu Y, Yang C, Poh LH, Tan VBC. Microstructural characteristics, mechanical performance and constitutive modelling parameters of additively manufactured copper under quasi-static and dynamic loading conditions. Int J Impact Eng. 2026;213:105692. doi: 10.1016/j.ijimpeng.2026.105692
  27. Kang SG, Bellón B, Bhaskar LK, et al. Energy dissipation of metallic microlattices under extreme thermomechanical environments. Acta Mater. 2026;310:122131. doi: 10.1016/j.actamat.2026.122131
  28. Pu B, Li W, Zhang Q, Wang X. Research on the dynamic compressive deformation behavior of 3D-printed Ti6Al4V. Metals (Basel). 2021;11(8):1327. doi: 10.3390/met11081327
  29. Dong K, Lv W, Sun Y, et al. Research on the dynamic mechanical properties of selective laser melting TC4 titanium alloy and the construction of J-C model. Mater Today Commun. 2025;48:113692. doi: 10.1016/j.mtcomm.2025.113692
  30. Kerdja L, Fizi Y, Vieille B, Keskes B. Inverse identification of material properties using artificial neural network-particle swarm optimization (ANN-PSO) in Taylor impact testing. Int J Impact Eng. 2026;214:105735. doi: 10.1016/j.ijimpeng.2026.105735
  31. Lu P, Ye X, Cai Y, Ding F. Laser scanning strategy-dependent thermomechanical evolution in LPBF processed Ti-6Al-4V. Mater Manuf Process. 2025;40(15):2081-2092. doi: 10.1080/10426914.2025.2566493
  32. ASTM International. Standard Practice for Microetching Metals and Alloys. ASTM E407-23. West Conshohocken, PA: ASTM International; 2023.
  33. Alemu WY, Huang GJ, Tseng CW, Chiu KC, Yang S, Chen JK. Heat treatment-induced pore migration and conductivity evolution in additively manufactured copper. J Mater Eng Perform. 2026;35(2):1643-1653. doi: 10.1007/s11665-025-11683-8
  34. Han SJ, Kim JR, Kim GH, Kim WR, Hwang WJ, Jeong JK. Effects of direct hot isostatic pressing on microstructural, electrical and mechanical properties of selective laser melted pure copper. J Mater Res Technol. 2025;39:6994-7004. doi: 10.1016/j.jmrt.2025.11.063
  35. Huang JY, Chang XC, Xie C, et al. Pure copper components fabricated by cold spray (CS) and selective laser melting (SLM) technology. Surf Coat Technol. 2020;395:125936. doi: 10.1016/j.surfcoat.2020.125936
  36. Yan X, Chang CC, Dong D, et al. Microstructure and mechanical properties of pure copper manufactured by selective laser melting. Mater Sci Eng A. 2020;789:139615. doi: 10.1016/j.msea.2020.139615
  37. Huang M, Zhao K, Chen Z, Qin Y, Yang S. Optimization of the grain boundary character distribution of pure copper by low-strain thermomechanical processing. Int J Mater Res. 2020;111(8):668-675. doi: 10.3139/146.111929
  38. Xiong W, Hao L, Peijs T, et al. Simultaneous strength and ductility enhancements of high thermal conductive Ag7.5Cu alloy by selective laser melting. Sci Rep. 2022;12(1):4250. doi: 10.1038/s41598-022-08182-4
  39. Tan C, Zhou K, Ma W, Min L. Interfacial characteristic and mechanical performance of maraging steel-copper functional bimetal produced by selective laser melting based hybrid manufacture. Mater Des. 2018;155:77-85. doi: 10.1016/j.matdes.2018.05.064
  40. Johnson GR, Cook WH. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. In: Proceedings of the 7th International Symposium on Ballistics. Arlington, VA: American Defense Preparedness Association; 1983:541-547.
  41. Walley SM, Couque H. The Taylor impact experiment. In: Hokka M, ed. Dynamic Behavior of Materials. Amsterdam, Netherlands: Elsevier; 2024:219-267. doi: 10.1016/b978-0-323-99153-7.00007-4
  42. Dewhurst TB. The Simulation of Three-Dimensional Metalforming Processes Using State Variable Constitutive Models for Large Strain, Viscoplastic Flow at Elevated Temperature (Finite Elements, Internal Variable) [dissertation]. Ithaca, NY: Cornell University; 1985.
  43. Ito K. Identification method for material constants in Johnson-Cook model associated with strain-rate and temperature sensitivities using ball impact and indentation tests. J Eng Mater Technol. 2022;144(4):041007. doi: 10.1115/1.4054957
  44. Gonda V, Varga P. Modeling of a rod-on-rod Taylor test. Műszaki Tudományos Közlemények. 2016;5:181-184. [In Hungarian]. doi: 10.33895/mtk-2016.05.36
  45. Soares GC, Hokka M. The Taylor–Quinney coefficients and strain hardening of commercially pure titanium, iron, copper, and tin in high rate compression. Int J Impact Eng. 2021;156:103940. doi: 10.1016/j.ijimpeng.2021.103940
Share
Back to top
Materials Science in Additive Manufacturing, Electronic ISSN: 2810-9635 Published by AccScience Publishing