Research paper

Simulation of Deformation Coordination and Hardening Behavior in Ferrite-Ferrite Grain Boundary

  • XU Yongsheng ,
  • ZHANG Weigang ,
  • XU Lingchao ,
  • DAN Wenjiao
Expand
  • School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
ZHANG Weigang, professor, Tel:13801875720, E-mail: wgzhang@sjtu.edu.cn

Received date: 2023-03-02

  Revised date: 2023-04-24

  Online published: 2023-06-09

Abstract

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.

Cite this article

XU Yongsheng , ZHANG Weigang , XU Lingchao , DAN Wenjiao . Simulation of Deformation Coordination and Hardening Behavior in Ferrite-Ferrite Grain Boundary[J]. Acta Metall Sin, 2023 , 59(8) : 1042 -1050 . DOI: 10.11900/0412.1961.2023.00083

References

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
Outlines

/