Micromechanical modeling of failure in dual phase steels

Micromechanical modeling of failure in dual phase steels

AYDINER Ilbilge Umay, TATLI Berkehan, YALÇINKAYA Tuncay

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Abstract. Having brittle martensitic islands diffused in a ductile ferrite matrix, dual-phase (DP) steels are known for their high formability and favorable material properties. Although they have already proven their advantages in the industry, there are still discussions regarding their microstructure-macroscopic response link. In order to effectively exploit their advantages and analyze their ductility in metal forming operations, the failure mechanisms of DP steels must be well examined following a micromechanics-based approach. There are a number of failure mechanisms to be addressed at the micro scale such as ferrite-martensite and ferrite-ferrite interface decohesion as well as martensite cracking depending on the different microstructural parameters and stress state. A crystal plasticity based finite element framework for RVE calculations is followed here based on the previous work which focuses solely on the plastic deformation (see [1]). Isotropic J2 plasticity model is employed for the hard martensite phase while the rate-dependent crystal plasticity framework is used for the ductile ferrite phase. Cohesive zone elements are inserted at the ferrite-martensite and ferrite-ferrite interfaces for intergranular cracking analysis, besides, intragranular cracking in martensite phase is addressed through an uncoupled damage model. First, a preliminary study was performed in order to identify and calibrate aforementioned failure models, then, various 3D polycrystalline RVEs having different microstructural parameters loaded with different stress triaxialities are analyzed and discussed adding up to the preliminary discussions presented in [2].

Keywords
Dual-Phase Steel, Cohesive Zone Modelling, Crystal Plasticity

Published online 4/19/2023, 10 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: AYDINER Ilbilge Umay, TATLI Berkehan, YALÇINKAYA Tuncay, Micromechanical modeling of failure in dual phase steels, Materials Research Proceedings, Vol. 28, pp 1443-1452, 2023

DOI: https://doi.org/10.21741/9781644902479-156

The article was published as article 156 of the book Material Forming

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] T. Yalçinkaya, S.O. Çakmak, C. Tekoglu, A crystal plasticity based finite element framework for RVE calculations of two-phase materials: Void nucleation in dual-phase steels, Finite Elem. Anal. Des. 187 (2021) 103510. https://doi.org/10.1016/j.finel.2020.103510
[2] T. Yalçinkaya, B. Tatli, I.E. Ünsal, I.U. Aydiner, Crack Initiation and Propagation in Dual-phase Steels Through Crystal Plasticity and Cohesive Zone Frameworks, Procedia Struct. Integrity 42 (2022) 1651-1659. https://doi.org/10.1016/j.prostr.2022.12.208
[3] J. Kadkhodapour, A. Butz, S. Ziaei Rad, Mechanisms of void formation during tensile testing in a commercial, dual-phase steel, Acta Mater. 59 (2011) 2575-2588. https://doi.org/10.1016/j.actamat.2010.12.039
[4] A. Tang, H. Liu, R. Chen, G. Liu, Q. Lai, Y. Zhong, L. Wang, J. Wang, Q. Lu, Y. Shen, Mesoscopic origin of damage nucleation in dual-phase steels, Int. J. Plast. 137 (2021) 102920. https://doi.org/10.1016/j.ijplas.2020.102920
[5] G. Avramovic-Cingara, Y. Ososkov, M.K. Jain, D.S. Wilkinson, Effect of martensite distribution on damage behaviour in DP600 dual phase steels, Mater. Sci. Eng., A 516 (2009) 7-16. https://doi.org/10.1016/j.msea.2009.03.055
[6] Q. Lai, O. Bouaziz, M. Gouné, L. Brassart, M. Verdier, G. Parry, A. Perlade, Y. Bréchet, T. Pardoen, Damage and fracture of dual-phase steels: Influence of martensite volume fraction, Mater. Sci. Eng. A 646 (2015) 322-331. https://doi.org/10.1016/j.msea.2015.08.073
[7] S. Qin, R. McLendon, V. Oancea, A.M. Beese, Micromechanics of multiaxial plasticity of DP600: Experiments and microstructural deformation modeling, Mater. Sci. Eng. A 721 (2018) 168-178. https://doi.org/10.1016/j.msea.2018.02.078
[8] X. Sun, K.S. Choi, W.N. Liu, M.A. Khaleel, Predicting failure modes and ductility of dual phase steels using plastic strain localization, Int. J. Plast. 25 (2009) 1888-1909. https://doi.org/10.1016/j.ijplas.2008.12.012
[9] J. Kadkhodapour, B. Anbarlooie, H. Hosseini-Toudeshky, S. Schmauder, Simulation of shear failure in dual phase steels using localization criteria and experimental observation, Comput. Mater. Sci. 94 (2014) 106-113. https://doi.org/10.1016/j.commatsci.2014.02.046
[10] S. Qin, Y. Lu, S.B. Sinnott, A.M. Beese, Influence of phase and interface properties on the stress state dependent fracture initiation behavior in DP steels through computational modeling, Mater. Sci. Eng. A 776 (2020) 138981. https://doi.org/10.1016/j.msea.2020.138981
[11] H. Hosseini-Toudeshky, P. Parandavar, B. Anbarlooie, Stress–strain prediction of dual phase steels using 3D RVEs considering both interphase hardness variation and interface debonding at grain boundaries, Arch. Appl. Mech. 92 (2022) 255–270. https://doi.org/10.1007/s00419-021-02054-5
[12] T. Yalcinkaya, G.O. Gungor, S.O. Cakmak, C. Tekoglu, A micromechanics based numerical investigation of dual phase steels, Procedia Struct. Integrity 21 (2019) 61-72. https://doi.org/10.1016/j.prostr.2019.12.087
[13] V. Uthaisangsuk, U. Prahl, W. Bleck, Micromechanical modelling of damage behaviour of multiphase steels, Comput. Mater. Sci. 43 (2008) 27-35. https://doi.org/10.1016/j.commatsci.2007.07.035
[14] N. Vajragupta, V. Uthaisangsuk, B. Schmaling, S. Münstermann, A. Hartmaier, W. Bleck, A micromechanical damage simulation of dual phase steels using XFEM, Comput. Mater. Sci. 54 (2012) 271-279. https://doi.org/10.1016/j.commatsci.2011.10.035
[15] Matsuno, C. Teodosiu, D. Maeda, A. Uenishi, Mesoscale simulation of the early evolution of ductile fracture in dual-phase steels, Int. J. Plast. 74 (2015) 17-34. https://doi.org/10.1016/j.ijplas.2015.06.004
[16] H. Hosseini-Toudeshky, B. Anbarlooie, J. Kadkhodapour, Micromechanics stress–strain behavior prediction of dual phase steel considering plasticity and grain boundaries debonding, Mater. Des. 68 (2015) 167-176. http://doi.org/10.1016/j.matdes.2014.12.013
[17] T. Yalcinkaya, W.A.M. Brekelmans, M.G.D. Geers, BCC single crystal plasticity modeling and its experimental identification, Modell. Simul. Mater. Sci. Eng. 16 (2008) 085007. http://doi.org/10.1088/0965-0393/16/8/085007
[18] O. Bulut, S.S. Acar, T. Yalçinkaya, The influence of thickness/grain size ratio in microforming through crystal plasticity, Procedia Struct. Integrity 35 (2022) 228-236. https://doi.org/10.1016/j.prostr.2021.12.069
[19] A.P. Pierman, O. Bouaziz, T. Pardoen, P.J. Jacques, L. Brassart, The influence of microstructure and composition on the plastic behaviour of dual-phase steels, Acta Mater. 73 (2014) 298-311. https://doi.org/10.1016/j.actamat.2014.04.015
[20] Y. Bao, T. Wierzbicki, On fracture locus in the equivalent strain and stress triaxiality space, Int. J. Mech. Sci. 46 (2004) 81–98. https://doi.org/10.1016/j.ijmecsci.2004.02.006
[21] K. Park, G.H. Paulino, J.R. Roesler, A unified potential-based cohesive model of mixed-mode fracture, J. Mech. Phys. Solids 57 (2009) 891–908. https://doi.org/10.1016/j.jmps.2008.10.003
[22] T. Yalçinkaya, İ. Özdemir, A.O. Firat, Inter-granular cracking through strain gradient crystal plasticity and cohesive zone modeling approaches, Theor. Appl. Fract. Mech. 103 (2019) 102306. https://doi.org/10.1016/j.tafmec.2019.102306
[23] A. Cerrone, P. Wawrzynek, A. Nonn, G.H. Paulino, A. Ingraffea, Implementation and verification of the Park–Paulino–Roesler cohesive zone model in 3D, Eng. Fract. Mech. 120 (2014) 26-42. https://doi.org/10.1016/j.engfracmech.2014.03.010
[24] W. Woo, V.T. Em, E.-Y. Kim, S.H. Han, Y.S. Han, S.-H. Choi, Stress–strain relationship between ferrite and martensite in a dual-phase steel studied by in situ neutron diffraction and crystal plasticity theories, Acta Mater. 60 (2012) 6972-6981. https://doi.org/10.1016/j.actamat.2012.08.054
[25] Y. Huang, A User-Material Subroutine Incorporating Single Crystal Plasticity in the ABAQUS Finite Element Program, 1991.
[26] R. Quey, P.R. Dawson, F. Barbe, Large-scale 3D random polycrystals for the finite element method: Generation, meshing and remeshing, Comput. Methods Appl. Mech. Eng. 200 (2011) 1729-1745. https://doi.org/10.1016/j.cma.2011.01.002