Multi-scale modeling of ultra-thin commercially pure titanium sheet for fuel cell bipolar plates: Plastic anisotropy and distortional strain hardening
Kyung Mun Min , Seonghwan Choi , Xiaohua Hu , Jinwoo Lee , Hyuk Jong Bong
International Journal of Minerals, Metallurgy, and Materials ›› 2026, Vol. 33 ›› Issue (5) : 1637 -1651.
This study presents a multi-scale modeling framework to describe the mechanical behavior of a 0.1 mm-thick commercially pure titanium (CP-Ti) sheet developed for fuel cell bipolar plates. Since standardized methods for characterizing ultra-thin sheets under complex stress states are lacking, a virtual modeling approach was employed. At the grain scale, a crystal plasticity finite element (CPFE) model was constructed to incorporate the relevant slip and twinning systems, enabling prediction of responses under diverse loading conditions. Extending to the continuum scale, the CPFE results, combined with tensile data, were used to calibrate an advanced constitutive model based on the evolutionary Yld2000-2d yield function, capable of capturing anisotropic behavior. Validation against independent limiting dome height tests confirmed the predictive accuracy of the framework. The proposed approach provides a basis for simulating the forming behavior of ultra-thin CP-Ti sheets and supports precise manufacturing of bipolar plates in fuel cell systems.
commercially pure titanium sheet / crystal plasticity / plastic anisotropy / distortional strain hardening / multi-scale modeling
| [1] |
|
| [2] |
J. Park, K.M. Min, H. Kim, S.H. Hong, and M.G. Lee, Integrated computational materials engineering for advanced automotive technology: With focus on life cycle of automotive body structure, Adv. Mater. Technol., 8(2023), No. 20, art. No. 2201057. |
| [3] |
|
| [4] |
|
| [5] |
|
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
P. Liu, C.X. Liu, Z.B. Wang, A.Q. Wang, and J.P. Xie, Fabricating a pure titanium foil with excellent strength–ductility combination via bimodal grain structure coupling with deformation twins, Mater. Sci. Eng. A, 913(2024), art. No. 147109. |
| [11] |
Q. Lu, P. Liu, Z.Y. Xu, et al., Break through the strength–ductility trade-off dilemma in titanium matrix composites via precipitation assisted interface tailoring and solid solution, Mater. Sci. Eng. A, 929(2025), art. No. 148110. |
| [12] |
|
| [13] |
C.S. Tan, T. Yang, C.W. Huang, et al., Enhanced strength–ductility synergy in Ti55531 titanium alloys through gradient microstructural design strategy, Mater. Sci. Eng. A, 909(2024), art. No. 146823. |
| [14] |
ISO 12004-2:2008. Metallic Materials—Sheet and Strip—Determination of Forming-limit Curves—Part 2: Determination of Forming-limit Curves in the Laboratory, 2008 |
| [15] |
|
| [16] |
|
| [17] |
S. Choi, S.C. Kang, J. Lee, and M.G. Lee, Novel distortional anisotropic hardening model mediated by microstructure evolutions in polycrystalline metals: Theory and validation, Int. J. Plast., 185(2025), art. No. 104227. |
| [18] |
|
| [19] |
|
| [20] |
|
| [21] |
K.M. Min, H. Lee, H.D. Joo, H.N. Han, and M.G. Lee, Numerical modeling of shear band effect on Goss grain recrystallization in electrical steels: Crystal plasticity finite element and phase field modeling, Int. J. Plast., 180(2024), art. No. 104049. |
| [22] |
H.J. Bong, W. Jeong, K.M. Min, C. Kim, J. Lee, and M.G. Lee, Crystal plasticity model for predicting ductile fracture in cast Al alloy, Int. J. Mech. Sci., 304(2025), art. No. 110697. |
| [23] |
|
| [24] |
|
| [25] |
J.W. Won, S. Lee, H.J. Choe, Y.T. Hyun, D.W. Lee, and J.H. Lee, Recovery of sheet formability of cold-rolled pure titanium by cryogenic-deformation treatment, Mater. Sci. Eng. A, 889(2024), art. No. 145868. |
| [26] |
|
| [27] |
|
| [28] |
B. Jeon, M.S. Lee, T.S. Jun, and Y. Jeong, Temperature-dependent behavior of CP-Ti interpreted via self-consistent crystal plasticity simulation, Mater. Sci. Eng. A, 890(2024), art. No. 145904. |
| [29] |
G. Chen, Y.M. Huo, J.G. Lin, et al., Crystal plasticity finite element method investigation of normal tensile deformation anisotropy in rolled pure titanium sheet, Thin Walled Struct., 200(2024), art. No. 111904. |
| [30] |
|
| [31] |
W. Li, S.S. Li, Z.T. Huang, G.Y. Tang, G.M. Zhang, and H. Yu, Research on the anisotropic mechanism of plastic behavior during tensile process of textured pure titanium, Mater. Sci. Eng. A, 894(2024), art. No. 146153. |
| [32] |
|
| [33] |
|
| [34] |
|
| [35] |
|
| [36] |
|
| [37] |
H.J. Bong, J. Lee, X.H. Hu, X. Sun, and M.G. Lee, Predicting forming limit diagrams for magnesium alloys using crystal plasticity finite elements, Int. J. Plast., 126(2020), art. No. 102630. |
| [38] |
|
| [39] |
H.J. Bong, J. Lee, and M.G. Lee, Modeling crystal plasticity with an enhanced twinning–detwinning model to simulate cyclic behavior of AZ31B magnesium alloy at various temperatures, Int. J. Plast., 150(2022), art. No. 103190. |
| [40] |
|
| [41] |
|
| [42] |
|
| [43] |
|
| [44] |
H.J. Bong and J. Lee, Crystal plasticity finite element–Marciniak–Kuczynski approach with surface roughening effect in predicting formability of ultra-thin ferritic stainless steel sheets, Int. J. Mech. Sci., 191(2021), art. No. 106066. |
| [45] |
K.M. Min, W. Jeong, S.H. Hong, et al., Integrated crystal plasticity and phase field model for prediction of recrystallization texture and anisotropic mechanical properties of cold-rolled ultra-low carbon steels, Int. J. Plast., 127(2020), art. No. 102644. |
| [46] |
K.M. Min, S.H. Shim, S.J. Lee, et al., Particle-assisted texture engineering for achieving exceptional bendability of Cu–Ni–Si alloy, Int. J. Mech. Sci., 305(2025), art. No. 110741. |
| [47] |
|
| [48] |
J. Kim, Q.T. Pham, J.J. Ha, and Y.S. Kim, Constitutive modeling of commercial pure titanium sheet based on non-associated flow rule and differential hardening, Int. J. Mech. Sci., 230(2022), art. No. 107549. |
| [49] |
|
| [50] |
|
| [51] |
|
| [52] |
|
| [53] |
|
| [54] |
|
University of Science and Technology Beijing
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