铁素体晶间变形协调与硬化行为模拟研究
收稿日期: 2023-03-02
修回日期: 2023-04-24
网络出版日期: 2023-06-09
Simulation of Deformation Coordination and Hardening Behavior in Ferrite-Ferrite Grain Boundary
Received date: 2023-03-02
Revised date: 2023-04-24
Online published: 2023-06-09
鉴于晶体塑性有限元法(CPFEM)在晶粒模型构造、取向设置和边界条件施加上的自由,对典型的铁素体-铁素体对称倾斜和扭转双晶模型实施不同应力状态下的变形模拟,分析应力状态和晶粒相对取向对晶界区应变分布和硬化行为的影响。结果表明,晶界区应变均匀程度由晶间滑移传递因子和滑移分切应力因子共同决定,晶粒的晶界区变形均匀程度与滑移传递因子正相关,主要由滑移传递因子控制晶间变形协调行为。然而,软取向晶粒(由应力状态和取向决定)的晶界区变形均匀,滑移传递因子对晶界区的应变协调不造成影响。此外,当滑移传递因子和滑移分切应力因子都很小时,易造成晶界区应变集中,使得晶间变形协调困难。因此,将滑移传递因子和滑移分切应力因子结合的晶间变形协调预测结果更为合理。双晶模型的流动应力与滑移分切应力因子负相关,晶界区非均匀变形易引发几何必需位错增殖,促进晶界处强化。
徐永生 , 张卫刚 , 徐凌超 , 但文蛟 . 铁素体晶间变形协调与硬化行为模拟研究[J]. 金属学报, 2023 , 59(8) : 1042 -1050 . DOI: 10.11900/0412.1961.2023.00083
The deformation coordination of grain boundaries determines the nucleation and evolution of microvoids and affects the damage and fracture behavior of materials. However, grain boundary deformation is extremely complex and difficult to predict owing to the difference in intergranular orientation and grain stress state. Among them, two important ways of coordinating deformations are the accumulation of dislocations at grain boundaries and intergranular transfer. The geometric relationship of the activated intergranular slip systems determines the difficulty of slip transfer and the uniformity of deformation at grain boundaries. Moreover, owing to the complex grain boundary conditions of polycrystalline materials, it is difficult to accurately measure the actual stress state and deformation of grain boundaries, so there is a substantial discreteness between the experimentally observed slip transfer behavior and theoretical prediction results. Herein, based on the advantages of the crystal plasticity finite element method (CPFEM) in polycrystalline model construction, grain orientation, and mechanical boundary condition setting, the ferrite-ferrite symmetrical tilt and twist bicrystal models under different stress states was used to analyze the impact of stress state and relative grain orientation on grain boundary strain coordination and hardening behavior. The results show that the intergranular slip transfer factor and the resolve shear stress factor determine the strain uniformity at the grain boundary. The deformation uniformity at the grain boundary is positively correlated with the slip transfer factor, which mainly controls the intergranular deformation coordination behavior. However, the deformation at the grain boundaries of soft-oriented grains (determined by stress state and orientation) is uniform, and the slip transfer factor has little effect on strain coordination. When the slip transfer factor and the resolve shear stress factor are very small, strain concentration at the grain boundary easily occurs, making intergranular deformation coordination difficult. Therefore, the prediction results of intergranular deformation coordination combined with the slip transfer factor and resolving the shear stress factor are reasonable. In addition, the flow stress of the bicrystal model is negatively correlated with the slip shear stress factor, and the uneven deformation at the grain boundary easily causes geometrically necessary dislocations to proliferate and promote grain boundary hardening.
| 1 | Roters F, Eisenlohr P, Hantcherli L, et al. Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications [J]. Acta Mater., 2010, 58: 1152 |
| 2 | Soer W A, Aifantis K E, De Hosson J T M. Incipient plasticity during nanoindentation at grain boundaries in body-centered cubic metals [J]. Acta Mater., 2005, 53: 4665 |
| 3 | Soer W A, De Hosson J T M. Detection of grain-boundary resistance to slip transfer using nanoindentation [J]. Mater. Lett., 2005, 59: 3192 |
| 4 | Aifantis K E, Konstantinidis A A. Yielding and tensile behavior of nanocrystalline copper [J]. Mater. Sci. Eng., 2009, A503: 198 |
| 5 | Gurtin M E. A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations [J]. J. Mech. Phys. Solids, 2002, 50: 5 |
| 6 | Okumura D, Higashi Y, Sumida K, et al. A homogenization theory of strain gradient single crystal plasticity and its finite element discretization [J]. Int. J. Plast., 2007, 23: 1148 |
| 7 | Ohno N, Okumura D, Shibata T. Grain-size dependent yield behavior under loading, unloading and reverse loading [J]. Int. J. Mod. Phys., 2008, 22B: 5937 |
| 8 | Ma A, Roters F, Raabe D. A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations [J]. Acta Mater., 2006, 54: 2169 |
| 9 | Ma A, Roters F, Raabe D. On the consideration of interactions between dislocations and grain boundaries in crystal plasticity finite element modeling—Theory, experiments, and simulations [J]. Acta Mater., 2006, 54: 2181 |
| 10 | Schiotz J. Mechanical deformation of nanocrystalline materials [J]. Philos. Mag. Lett., 1996, 74: 339 |
| 11 | Guo Y, Collins D M, Tarleton E, et al. Dislocation density distribution at slip band-grain boundary intersections [J]. Acta Mater., 2020, 182: 172 |
| 12 | Livingston J D, Chalmers B. Multiple slip in bicrystal deformation [J]. Acta Metall. 1957, 5: 322 |
| 13 | Clark W A T, Wagoner R H, Shen Z Y, et al. On the criteria for slip transmission across interfaces in polycrystals [J]. Scr. Metall. Mater., 1992, 26: 203 |
| 14 | Luster J, Morris M A. Compatibility of deformation in two-phase Ti-Al alloys: Dependence on microstructure and orientation relationships [J]. Metall. Mater. Trans., 1995, 26A: 1745 |
| 15 | Sun J, Jin L, Dong J, et al. Towards high ductility in magnesium alloys—The role of intergranular deformation [J]. Int. J. Plast., 2019, 123: 121 |
| 16 | Haouala S, Alizadeh R, Bieler T R, et al. Effect of slip transmission at grain boundaries in Al bicrystals [J]. Int. J. Plast., 2020, 126: 102600 |
| 17 | Bieler T R, Eisenlohr P, Zhang C, et al. Grain boundaries and interfaces in slip transfer [J]. Curr. Opin. Solid State Mater. Sci., 2014, 18: 212 |
| 18 | Hutchinson J W. Bounds and self-consistent estimates for creep of polycrystalline materials [J]. Proc. R. Soc. London, 1976, 348A:101 |
| 19 | Harder J. A crystallographic model for the study of local deformation processes in polycrystals [J]. Int. J. Plast., 1999, 15: 605 |
| 20 | Ohashi T. Numerical modelling of plastic multislip in metal crystals of f.c.c. type [J]. Philos. Mag., 1994, 70A: 793 |
| 21 | Paquin A, Berbenni S, Favier V, et al. Micromechanical modeling of the elastic-viscoplastic behavior of polycrystalline steels [J]. Int. J. Plast., 2001, 17: 1267 |
| 22 | Ohashi T. Crystal plasticity analysis of dislocation emission from micro voids [J]. Int. J. Plast., 2005, 21: 2071 |
| 23 | Lee W B, Chen Y P. Simulation of micro-indentation hardness of FCC single crystals by mechanism-based strain gradient crystal plasticity [J]. Int. J. Plast., 2010, 26: 1527 |
| 24 | Han C S, Gao H J, Huang Y G, et al. Mechanism-based strain gradient crystal plasticity—I. Theory [J]. J. Mech. Phys. Solids, 2005, 53: 1188 |
| 25 | Siddiq A, Schmauder S, Huang Y. Fracture of bicrystal metal/ceramic interfaces: A study via the mechanism-based strain gradient crystal plasticity theory [J]. Int. J. Plast., 2007, 23: 665 |
| 26 | Kronberg M L, Wilson F H. Secondary recrystallization in copper [J]. JOM, 1949, 1(8): 501 |
| 27 | Shibuta Y, Takamoto S, Suzuki T. A molecular dynamics study of the energy and structure of the symmetric tilt boundary of iron [J]. ISIJ Int., 2008, 48: 1582 |
| 28 | Xu Y S, Dan W J, Ren C, et al. Study of the mechanical behavior of dual-phase steel based on crystal plasticity modeling considering strain partitioning [J]. Metals, 2018, 8: 782 |
| 29 | Gou R B, Dan W J, Zhang W G, et al. Research on flow behaviors of the constituent grains in ferrite-martensite dual phase steels based on nanoindentation measurements [J]. Mater. Res. Express, 2017, 4: 076510 |
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