Research Papers

Effects of Mn Content on the Deformation Behavior of Fe–Mn–Al–C TWIP Steels—A Computational Study

[+] Author and Article Information
Y. Y. Wang

Key Laboratory for Anisotropy
and Texture of Materials,
Northeastern University,
Shenyang 110819, China;
Computational Science
and Mathematics Division,
Pacific Northwest National Laboratory,
Richland, WA 99352

X. Sun

Computational Science
and Mathematics Division,
Pacific Northwest National Laboratory,
Richland, WA 99352
e-mail: xin.sun@pnnl.gov

Y. D. Wang

Key Laboratory for Anisotropy
and Texture of Materials,
Northeastern University,
Shenyang 110819, China;
State Key Laboratory for Advanced Metals
and Materials and the Collaborative
Innovation Center of Steel Technology,
University of Science and Technology Beijing,
Beijing 100083, China

H. M. Zbib

School of Mechanical and Materials Engineering,
Washington State University,
Pullman, WA 99164

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received August 20, 2014; final manuscript received October 21, 2014; published online December 3, 2014. Assoc. Editor: Curt Bronkhorst.

J. Eng. Mater. Technol 137(2), 021001 (Apr 01, 2015) (9 pages) Paper No: MATS-14-1171; doi: 10.1115/1.4029041 History: Received August 20, 2014; Revised October 21, 2014; Online December 03, 2014

This paper presents a double-slip/double-twin polycrystal plasticity model using finite element solution to investigate the kinetics of deformation twinning of medium manganese (Mn) twinning-induced plasticity (TWIP) steels. Empirical equations are employed to estimate the stacking fault energy (SFE) of TWIP steels and the critical resolved shear stress (CRSS) for dislocation slip and deformation twinning, respectively. The results suggest that the evolution of twinning in Fe–xMn–1.4Al–0.6 C (x = 11.5, 13.5, 15.5, 17.5, and 19.5 mass%) TWIP steels, and its relation to the Mn content, can explain the effect of Mn on mechanical properties. By comparing the double-slip/double-twin model to a double-slip model, the predicted results essentially reveal that the interaction behavior between dislocation slip and deformation twinning can lead to an additional work hardening. Also, numerical simulations are carried out to study the influence of boundary conditions on deformation behavior and twin formation. The nucleation and growth of twinning are found to depend on internal properties (e.g., mismatch orientation of grains and stress redistribution) as well as on external constraints (e.g., the applied boundary conditions) of the material.

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Shen, F., Zhou, J., Liu, Y., Zhu, R., Zhang, S., and Wang, Y., 2010, “Deformation Twinning Mechanism and Its Effects on the Mechanical Behaviors of Ultra-fine Grained and Nanocrystalline Copper,” Comput. Mater. Sci., 49(2), pp. 226–235. [CrossRef]
Meyers, M. A., Vöhringer, O., and Lubarda, V. A., 2001, “The Onset of Twinning in Metals: A Constitutive Description,” Acta Mater., 49(19), pp. 4025–4039. [CrossRef]
Kim, J., Lee, S.-J., and De Cooman, B. C., 2011, “Effect of Al on the Stacking Fault Energy of Fe-18Mn-0.6C Twinning-Induced Plasticity,” Scr. Mater., 65(4), pp. 363–366. [CrossRef]
Van Houtte, P., 1978, “Simulation of the Rolling and Shear Texture of Brass by the Taylor Theory Adapted for Mechanical Twinning,” Acta Metall., 26(4), pp. 591–604. [CrossRef]
Choi, S. H., Kim, D. W., Seong, B. S., and Rollett, A. D., 2011, “3-D Simulation of Spatial Stress Distribution in an AZ31 Mg Alloy Sheet Under In-Plane Compression,” Int. J. Plast., 27(10), pp. 1702–1720. [CrossRef]
Thamburaja, P., Pan, H., and Chau, F. S., 2009, “The Evolution of Microstructure During Twinning: Constitutive Equations, Finite-Element Simulations and Experimental Verification,” Int. J. Plast., 25(11), pp. 2141–2168. [CrossRef]
Wang, H., Wu, P. D., Wang, J., and Tomé, C. N., 2013, “A Crystal Plasticity Model for Hexagonal Close Packed (HCP) Crystals Including Twinning and De-Twinning Mechanisms,” Int. J. Plast., 49, pp. 36–52. [CrossRef]
Prakash, A., Weygand, S. M., and Riedel, H., 2009, “Modeling the Evolution of Texture and Grain Shape in Mg Alloy AZ31 Using the Crystal Plasticity Finite Element Method,” Comput. Mater. Sci., 45(3), pp. 744–750. [CrossRef]
Clayton, J. D., 2011, Nonlinear Mechanics of Crystals, Springer, Dordrecht, The Netherlands, pp. 379–421.
Wang, J., Beyerlein, I. J., Hirth, J. P., and Tomé, C. N., 2011, “Twinning Dislocations on and Planes in Hexagonal Close-Packed Crystals,” Acta Mater., 59(10), pp. 3990–4001. [CrossRef]
Yan, K., Carr, D. G., Callaghan, M. D., Liss, K.-D., and Li, H., 2010, “Deformation Mechanisms of Twinning-Induced Plasticity Steels: In Situ Synchrotron Characterization and Modeling,” Scr. Mater., 62(5), pp. 246–249. [CrossRef]
Wang, Y. Y., Sun, X., Wang, Y. D., Hu, X. H., and Zbib, H. M., 2014, “A Mechanism-Based Model for Deformation Twinning in Polycrystalline FCC Steel,” Mater. Sci. Eng. A, 607, pp. 206–218. [CrossRef]
Suzuki, H., and Barrett, C. S., 1958, “Deformation Twinning in Silver-Gold Alloys,” Acta Metall., 6(3), pp. 156–165. [CrossRef]
Salem, A. A., Kalidindi, S. R., and Semiatin, S. L., 2005, “Strain Hardening Due to Deformation Twinning in Alpha-Titanium: Constitutive Relations and Crystal-Plasticity Modeling,” Acta Mater., 53(12), pp. 3495–3502. [CrossRef]
Saeed-Akbari, A., Imlau, J., Prahl, U., and Bleck, W., 2009, “Derivation and Variation in Composition-Dependent Stacking Fault Energy Maps Based on Subregular Solution Model in High-Manganese Steels,” Metall. Mater. Trans. A, 40(13), pp. 3076–3090. [CrossRef]
Soulami, A., Choi, K. S., Shen, Y. F., Liu, W. N., Sun, X., and Khaleel, M. A., 2011, “On Deformation Twinning in a 17.5%Mn–TWIP Steel: A Physically Based Phenomenological Model,” Mater. Sci. Eng. A, 528(3), pp. 1402–1408. [CrossRef]
Gutierrez-Urrutia, I., Zaefferer, S., and Raabe, D., 2010, “The Effect of Grain Size and Grain Orientation on Deformation Twinning in a Fe-22wt.%Mn-0.6wt.%C TWIP Steel,” Mater. Sci. Eng. A, 527(15), pp. 3552–3560. [CrossRef]
Wei, Y., 2011, “Scaling of Maximum Strength With Grain Size in Nanotwinned FCC Metals,” Phys. Rev. B, 83(13), p. 132104. [CrossRef]
de las Cuevas, F., Reis, M., Ferraiuolo, A., Pratolongo, G., Karjalainen, L. P., Alkorta, J., and Gil Sevillano, J., 2010, “Hall-Petch Relationship of a TWIP Steel,” Key Eng. Mater., 423, pp. 147–152. [CrossRef]
Babu, S. S., Specht, E. D., David, S. A., Karapetrova, E., Zschack, P., Peet, M., and Bhadeshia, H. K. D. H., 2005, “In-Situ Observations of Lattice Parameter Fluctuations in Austenite and Transformation to Bainite,” Metall. Mater. Trans. A, 36(12), pp. 3281–3289. [CrossRef]
Allain, S., Chateau, J. P., Bouaziz, O., Migot, S., and Guelton, N., 2004, “Correlations Between the Calculated Stacking Fault Energy and the Plasticity Mechanisms in Fe-Mn-C Alloys,” Mater. Sci. Eng. A, 387–389, pp. 158–162. [CrossRef]
Mayama, T., Aizawa, K., Tadano, Y., and Kuroda, M., 2009, “Influence of Twinning Deformation and Lattice Rotation on Strength Differential Effect in Polycrystalline Pure Magnesium With Rolling Texture,” Comput. Mater. Sci., 47(2), pp. 448–455. [CrossRef]
Peirce, D., Asaro, R. J., and Needleman, A., 1983, “Material Rate Dependence and Localized Deformation in Crystalline Solids,” Acta Metall., 31(12), pp. 1951–1976. [CrossRef]
Walde, T., and Riedel, H., 2007, “Modeling Texture Evolution During Hot Rolling of Magnesium Alloy AZ31,” Mater. Sci. Eng. A, 443(1–2), pp. 277–284. [CrossRef]
Jin, Z. H., Gumbsch, P., Ma, E., Albe, K., Lu, K., Hahn, H., and Gleiter, H., 2006, “The Interaction Mechanism of Screw Dislocations With Coherent Twin Boundaries in Different Face-Centred Cubic Metals,” Scr. Mater., 54(6), pp. 1163–1168. [CrossRef]
Sleeswyk, A. W., and Helle, J. N., 1963, “Ductile Cleavage Fracture, Yielding and Twinning in Alpha-Iron,” Acta Metall., 11(3), pp. 187–194. [CrossRef]
Karaman, I., Sehitoglu, H., Gall, K., Chumlyakov, Y. I., and Maier, H. J., 2000, “Deformation of Single Crystal Hadfield Steel by Twinning and Slip,” Acta Mater., 48(6), pp. 1345–1359. [CrossRef]
Curtze, S., and Kuokkala, V. T., 2010, “Dependence of Tensile Deformation Behavior of TWIP Steels on Stacking Fault Energy, Temperature and Strain Rate,” Acta Mater., 58(15), pp. 5129–5141. [CrossRef]
Kibey, S., Liu, J. B., Johnson, D. D., and Sehitoglu, H., 2007, “Predicting Twinning Stress in FCC Metals: Linking Twin-Energy Pathways to Twin Nucleation,” Acta Mater., 55(20), pp. 6843–6851. [CrossRef]
Kim, J., Estrin, Y., and Cooman, B., 2013, “Application of a Dislocation Density-Based Constitutive Model to Al-Alloyed TWIP Steel,” Metall. Mater. Trans. A, 44(9), pp. 4168–4182. [CrossRef]
Sun, X., Choi, K. S., Liu, W. N., and Khaleel, M. A., 2009, “Predicting Failure Modes and Ductility of Dual Phase Steels Using Plastic Strain Localization,” Int. J. Plast., 25(10), pp. 1888–1909. [CrossRef]
Choi, K. S., Liu, W. N., Sun, X., and Khaleel, M. A., 2009, “Microstructure-Based Constitutive Modeling of TRIP Steel: Prediction of Ductility and Failure Modes Under Different Loading Conditions,” Acta Mater., 57(8), pp. 2592–2604. [CrossRef]
Xia, Z., Zhang, Y., and Ellyin, F., 2003, “A Unified Periodical Boundary Conditions for Representative Volume Elements of Composites and Applications,” Int. J. Solids Struct., 40(8), pp. 1907–1921. [CrossRef]
Kouznetsova, V., Brekelmans, W. A. M., and Baaijens, F. P. T., 2001, “An Approach to Micro-Macro Modeling of Heterogeneous Materials,” Comput. Mech., 27(1), pp. 37–48. [CrossRef]


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Fig. 1

Schematic illustration of computational domain at each scale

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Fig. 2

Predicted stress–strain response with/without deformation twinning

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Fig. 3

(a) The accumulated shear strain field, (b) twinning volume faction distribution, and (c) von Mises stress after deformation to 35% strain. The red color represents twinned part and the blue color represents untwinned part.

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Fig. 4

Influence of CRSSs of twin and slip (CRSS1-220/135 MPa, CRSS2-230/140 MPa, CRSS3-240/145 MPa, CRSS4-250/150 MPa, and CRSS5-260/155 MPa) related to different Mn contents in low alloys TWIP steels on: (a) stress–strain responses and (b) twinning volume fraction

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Fig. 5

Plot of predicted stress (left y-axis) and twinning volume fraction (right y-axis) as a function of strain (x-axis) for Fe–17.5Mn–1.4Al–0.6 C TWIP steel

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Fig. 6

Comparison of predicted results under three different boundary conditions (PBCs, MPCs, and FREE) and measured experimental data of Fe–17.5Mn–1.4Al–0.6 C TWIP steel: (a) tensile stress–strain responses and (b) twinning volume fraction

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Fig. 7

Evolution contour of twinning volume fraction as a function of true strain under PBCs, MPCs, and FREE boundary conditions, respectively, of Fe–17.5Mn–1.4Al–0.6 C TWIP steel: (a) ε = 10%, (b) ε = 15%, (c) ε = 20%, (d) ε = 30%, and (e) ε = 40%. The blue color stands for untwinned part and the red color stands for twinned part.



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