Investigation of the micromechanical behavior of ferritic-martensitic steel under complex loading

Document Type : Research Article

Authors

1 Department of Mechanical Engineering, Shahid Rajaee Teacher Training University

2 Mechanical Engineering Department, Shahid Rajaee University, Tehran, Iran

3 a Department of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran

4 Institute for Materials Testing, Materials Science and Strength of Materials, University of Stuttgart, Pfaffenwaldring 32, 70569, Stuttgart, Germany

Abstract

In this paper, the mechanical behavior of dual phase steel has been investigated in the macro and micro scales as experimentally and numerically. In order to study the influence of stress states on the mechanical behavior and fracture strain of DP600, four different specimens were tested under different stress states. Afterward, the obtained microstructure images by light microscope, were utilized to generate a 3D representative volume element based on the real microstructure. The microstructure images were converted to a 3D RVE model by image processing and finite element codes in Matlab and Abaqus commercial software, respectively. Then, the ability of the micro mechanical model to predict the macro mechanical behavior was evaluated under different stress states. The results demonstrate the micro mechanical model is able to predict the macro mechanical flow curve under different stress states except for shear. Finally, the influence of stress states on the stress to strain partitioning rate and the local plastic strain at fracture point were assessed. The results show stress-strain partitioning and local plastic strain are strongly dependent on stress state.

Keywords

Main Subjects

References

[1] T. Furukawa, M. Tanino, H. Morikawa, M. ENDO, Effects of composition and processing factors on the mechanical properties of as-hot-rolled dual-phase steels, Transactions of the Iron and Steel Institute of Japan 24 (1984) 113-121.
[2] N. Fonstein, Automotive Steels: Design, Metallurgy, Processing and Applications explores, 7-Dual-phase steels, (2017) 169-216.
[3] A. Ramazani, K. Mukherjee, U. Prahl, and W. Bleck, Modelling the effect of microstructural banding on the flow curve behaviour of dual-phase (DP) steels, Comput. Mater. Sci, 52(1) (2012) 46–54.
[4] C. Thomser and W. Bleck, Modelling of the mechanical properties of Dual Phase steels based on microstructure, Shaker Verlag GmbH, (2009).
[5] S. A. Asgari, P. D. Hodgson, C. Yang, and B. F. Rolfe, Modeling of advanced high strength steels with the realistic microstructure–strength relationships, Comput. Mater. Sci, 45(4) (2009) 860–866.
[6] A. Ramazani, K. Mukherjee, H. Quade, U. Prahl, and W. Bleck, Correlation between 2D and 3D flow curve modelling of DP steels using a microstructure-based RVE approach, Mater. Sci. Eng. A, 560 (2013) 129-139.
[7] S. H. Xia and J. T. Wang, A micromechanical model of toughening behavior in the dual-phase composite, Int. J. Plast, 26(10) (2010) 1442-1460.
[8] H. Lim, M. G. Lee, J. H. Kim, B. L. Adams, and R. H. Wagoner, Simulation of polycrystal deformation with grain and grain boundary effects, Int. J. Plast, 27( 9) (2011) 1328-1354.
[9] S. K. Paul, Micromechanics based modeling of Dual Phase steels: Prediction of ductility and failure modes, Comput. Mater. Sci, 56 (2012) 34-42.
[10] J. H. Kim, M.-G. Lee, D. Kim, D. K. Matlock, and R. H. Wagoner, Hole-expansion formability of dual-phase steels using representative volume element approach with boundary-smoothing technique, Mater. Sci. Eng. A, 527(27) (2010) 7353-7363.
[11] X. Sun, K. S. Choi, W. N. Liu, and M. A. Khaleel, Predicting failure modes and ductility of dual phase steels using plastic strain localization, Int. J. Plast., 25(10) (2009) 1888-1909.
[12] V. Tvergaard, Influence of voids on shear band instabilities under plane strain conditions, Int. J. Fract., 17(4) (1981) 389-407.
[13] Y. Huang and A. J. Kinloch, Modelling of the toughening mechanisms in rubber-modified epoxy polymers, J. Mater. Sci., 27(10) (1992) 2753-2762.
[14] M. Danielsson, D. M. Parks, and M. C. Boyce, Three-dimensional micromechanical modeling of voided polymeric materials, J. Mech. Phys. Solids, 50(2) (2002) 351-379.
[15]  F. M. Al-Abbasi and J. A. Nemes, Micromechanical modeling of dual phase steels, Int. J. Mech. Sci., 45(9) (2003) 1449-1465.
[16]T. Iung and M. Grange, Mechanical behaviour of two-phase materials investigated by the finite element method: necessity of three-dimensional modeling, Mater. Sci. Eng. A, 201(1–2) (1995) L8-L11.
[17] J. Kadkhodapour, S. Schmauder, D. Raabe, S. Ziaei-Rad, U. Weber, and M. Calcagnotto, Experimental and numerical study on geometrically necessary dislocations and non-homogeneous mechanical properties of the ferrite phase in dual phase steels, Acta Mater., 59(11) (2011) 4387-4394.
[18]  V. Uthaisangsuk and W. Bleck, Microstructure based formability modelling of multiphase steels, Shaker Verlag, (2009).
[19] M. R. Ayatollahi, A. C. Darabi, H. R. Chamani, and J. Kadkhodapour, 3D Micromechanical Modeling of Failure and Damage Evolution in Dual Phase Steel Based on a Real 2D Microstructure, Acta Mech. Solida Sin., 29(1) (2016) 95-110.
[20]  A. C. Darabi, H. R. Chamani, J. Kadkhodapour, A. P. Anaraki, A. Alaie, and M. R. Ayatollahi, Micromechanical analysis of two heat-treated dual phase steels: DP800 and DP980, Mech. Mater., 110 (2017) 68-83.
[21] M. Basaran and D. Weichert, Stress state dependent damage modeling with a focus on the lode angle influence, no. RWTH-CONV-142999. Lehrstuhl und Institut für Allgemeine Mechanik, (2011).
[22] R.O. Davis and A.P.S. Selvadurai. Plasticity and Geomechanics. Cambridge Univ Pr, (2002).
[23]  L. Xue, Ductile fracture modeling - theory, experimental investigation and numerical Verycation, PhD thesis, Massachusetts Institute of Technology, (2007).
[24] X. Gao, G. Zhang, and C. Roe, A study on the effect of the stress state on ductile fracture. Int. J. Damage Mech., 19(1) (2010) 75.
[25] W.F. Chen, D.J. Han, and DJ Han. Plasticity for Structural Engineers. J Ross Pub, (2007).
[26] N.S. Ottosen and M. Ristinmaa. The Mechanics of Constitutive Modeling. Elsevier Science Ltd, (2005).
[27] M. Yu. Generalized Plasticity. Springer Verlag, (2006).
[28] Y. Bai, T. Wierzbicki, A new model of metal plasticity and fracture with pressure and lode dependence. Int. J. Plast. 24 (2008) 1071-1096.
[29]  Y. Bai, T. Wierzbicki, Application of extended Mohr–Coulomb criterion to ductile fracture, International Journal of Fracture 161 (2010) 1-2.
[30] R.-M. Rodriguez, I. Gutiérrez, Unified Formulation to Predict the Tensile Curves of Steels with Different Microstructures, Mater. Sci. Forum 426-432 (2003) 4525-4530.
[31] V. Uthaisangsuk, S. Muenstermann, U. Prahl, W. Bleck, H.-P. Schmitz, T. Pretorius, A study of micro crack formation in multiphase steel using representative volume element and damage mechanics, Computational Materials Science 50 (2011) 225-1232.
[32] V. Kouznetsova, V, Computational homogenization for the multi-scale analysis of multi-phase materials, Thesis: Eindhoven University of Technology, The Netherlands (2002).
[33] A. Ch. Darabi, V. Guski, A. Butz, J. Kadkhodapour, S. Schmauder, A comparative study on mechanical behavior and damage scenario of DP600 and DP980 steels, Mechanics of Materials 143 (2020).
[34]  R. Hill, Elastic properties of reinforced solids: some theoretical principles, J. Mech. Phys. Solids, 11 (1963) 357-372.
[35]  Y. Zhao, X. Lia, W. Zhanga, R.D.K Misra, Z, Liua, Strain Partitioning and Softening Mechanisms of δ/γ in Lean Duplex Stainless Steels during Hot Deformation, Steel Research International 91 (2019).
Amirkabir Journal of Mechanical Engineering
Volume 53, Issue 6
September 2021
Pages 3689-3702

Files

Share

How to cite

Statistics