journal article·2020-01

Analysis and design of a three-phase TRIP steel microstructure for enhanced fracture resistance

Zhi Li, Ravi Kiran, Jun Hu, Louis G. Hector, Allan F. Bower

International Journal of Fracture· Volume 221· Issue 1
Publisher page

Abstract

The goal of this paper is to predict how the properties of the constituent phases and microstructure of a transformation induced plasticity steel influence its fracture resistance. The steel selected for study was a three-phase quenched and partitioned (QP) sheet steel comprised of 50% ferrite, 42% martensite and 8% retained austenite (RA) with $$\sim $$ 980 MPa tensile strength. Experiments show that ductile fracture in the steel involves nucleation, growth, and coalescence of micron-scale voids. Accordingly, the failure process is modeled at the microstructure scale by idealizing the individual phases of the steel using elastic-viscoplastic constitutive relations that account for the loss of strength resulting from cavitation, as well as the effects of transformation of metastable RA to martensite. The flow behavior of the phases and the transformation kinetics of RA are calculated by homogenizing the microscale calibrated crystal plasticity constitutive relations from a previous study (Srivastava in J Mech Phys Solids 78:46–69, 2015) while the damage parameters are determined by void cell model calculations. The microstructure-scale simulations are used to compute the fracture and instability loci for the steel, which are used to calibrate the GISSMO (Generalized Incremental Stress State Dependent Damage Model) (Andrade in Int J Fract 200:127–150, 2016). The microstructure-informed GISSMO model for QP980 is found to predict fracture strains within 18% of experimental measurements of ligament-type test specimens. Finally, a series of virtual steel microstructures are analyzed to determine the influence of the phase volume fractions on the fracture resistance of the steel. Two candidate microstructures are identified that exhibit increased engineering fracture strains ($$>57$$%) without significantly compromising (within 6%) the tensile strength when compared to the baseline QP980.
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OpenAlex topics: Metal Forming Simulation Techniques · Metallurgy and Material Forming · Microstructure and mechanical properties

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References (79)

Show source-provided references
1. Abu-Farha F, Hu X, Sun X, Ren Y, Hector LG, Thomas G, Brown TW (2018) Situ local measurement of austenite mechanical stability and transformation behavior in third-generation advanced high-strength steels. Metal Mater Trans A 49:2583–2596. https://doi.org/10.1007/s11661-018-4660-x10.1007/s11661-018-4660-x ↗
2. Anderson TL (2004) Fracture mechanics: fundamentals and applications, 3rd edn. CRC Press, Boca Raton. https://doi.org/10.1201/978142005821510.1201/9781420058215 ↗
3. Andrade FXC, Feucht M, Haufe A, Neukamm F (2016) An incremental stress state dependent damage model for ductile failure prediction. Int J Fract 200:127–150. https://doi.org/10.1007/s10704-016-0081-210.1007/s10704-016-0081-2 ↗
4. Angel T (1954) Formation of martensite in austenitic stainless steels. J Iron Steel Inst 177:165–174
5. ASTM International WC, PA (2016) ASTM E8 / E8M-16a, Standard test methods for tension testing of metallic materials. https://www.astm.org https://doi.org/10.1520/E0008_E0008M-16A10.1520/E0008_E0008M-16A ↗
6. Bai Y, Wierzbicki T (2010) Application of extended Mohr-Coulomb criterion to ductile fracture. Int J Fract 161:1. https://doi.org/10.1007/s10704-009-9422-810.1007/s10704-009-9422-8 ↗
7. Bao Y, Wierzbicki T (2004) On fracture locus in the equivalent strain and stress triaxiality space. Int J Mech Sci 46:81–98. https://doi.org/10.1016/j.ijmecsci.2004.02.00610.1016/j.ijmecsci.2004.02.006 ↗
8. Barsoum I, Faleskog J (2007) Rupture mechanisms in combined tension and shear. Micromech Int J Solids Struct 44:5481–5498. https://doi.org/10.1016/j.ijsolstr.2007.01.01010.1016/j.ijsolstr.2007.01.010 ↗
9. Beese AM, Mohr D (2011) Effect of stress triaxiality and Lode angle on the kinetics of strain-induced austenite-to-martensite transformation. Acta Materialia 59:2589–2600. https://doi.org/10.1016/j.actamat.2010.12.04010.1016/j.actamat.2010.12.040 ↗
10. Bellhouse EM, Mertens A, McDermid JR (2007) Development of the surface structure of TRIP steels prior to hot-dip galvanizing. Mater Sci Eng A 463:147–156. https://doi.org/10.1016/j.msea.2006.09.11710.1016/j.msea.2006.09.117 ↗
11. Benzerga AA, Leblond J-B (2010) Ductile fracture by void growth to coalescence. Adv Appl Mech 44:169–305. https://doi.org/10.1016/S0065-2156(10)44003-X10.1016/S0065-2156(10)44003-X ↗
12. Bhadeshia H (2014) Computational design of advanced steels. Scripta Materialia 70:12–17. https://doi.org/10.1016/j.scriptamat.2013.06.00510.1016/j.scriptamat.2013.06.005 ↗
13. Boyer HE (1974) Metals handbook: fractography and atlas of fractographs, vol 9, 8th edn. American Society for Metals, Cleveland
14. Chen X, Shi M, Chen G, Kamura M, Watanabe K, Omiya Y (2005) Crash performances of advanced high strength steels of DP780, TRIP780 and DP980. SAE Tech Paper. https://doi.org/10.4271/2005-01-035410.4271/2005-01-0354 ↗
15. Chen X, Chen G, Huang L (2018) Validation of GISSMO model for fracture prediction of a third generation advanced high strength steel. SAE Int J Mater Manf 11:293–302. https://doi.org/10.4271/2018-01-010710.4271/2018-01-0107 ↗
16. Cherkaoui M, Berveiller M, Lemoine X (2000) Couplings between plasticity and martensitic phase transformation: overall behavior of polycrystalline TRIP steels. Int J Plast 16:1215–1241. https://doi.org/10.1016/S0749-6419(00)00008-510.1016/S0749-6419(00)00008-5 ↗
17. Choi KS, Liu WN, Sun X, Khaleel MA (2009) Microstructure-based constitutive modeling of TRIP steel: prediction of ductility and failure modes under different loading conditions. Acta Materialia 57:2592–2604. https://doi.org/10.1016/j.actamat.2009.02.02010.1016/j.actamat.2009.02.020 ↗
18. Chu C, Needleman A (1980) Void nucleation effects in biaxially stretched sheets. J Eng Mater Technol 102:249–256. https://doi.org/10.1115/1.322480710.1115/1.3224807 ↗
19. Coryell J, Savic V, Hector L, Mishra S (2013) Temperature effects on the deformation and fracture of a quenched-and-partitioned steel. SAE Tech Paper. https://doi.org/10.4271/2013-01-061010.4271/2013-01-0610 ↗
20. Danas K, Castañeda PP (2012) Influence of the Lode parameter and the stress triaxiality on the failure of elasto-plastic porous materials. Int J Solids Struct 49:1325–1342. https://doi.org/10.1016/j.ijsolstr.2012.02.00610.1016/j.ijsolstr.2012.02.006 ↗
21. Dassault Systemes Simulia Corp. (2010) Abaqus user’s manual. Dassault Systemes Simulia Corp., Providence
22. De Moor E, Lacroix S, Clarke AJ, Penning J, Speer JG (2008) Effect of retained austenite stabilized via quench and partitioning on the strain hardening of martensitic steels. Metal Mater Trans A 39a:2586–2595. https://doi.org/10.1007/s11661-008-9609-z10.1007/s11661-008-9609-z ↗
23. De Moor E, Gibbs PJ, Speer JG, Matlock D, Schroth J (2010) AIST transactions strategies for third-generation advanced high-strength steel development. Iron Steel Technol 7:132
24. Jacques P, Furnemont Q, Pardoen T, Delannay F (2001) On the role of martensitic transformation on damage and cracking resistance in TRIP-assisted multiphase steels. Acta Materialia 49:139–152. https://doi.org/10.1016/S1359-6454(00)00215-910.1016/S1359-6454(00)00215-9 ↗
25. Devaraj A, Xu Z, Abu-Farha F, Sun X, Hector LG (2018) Nanoscale solute partitioning and carbide precipitation in a multiphase TRIP steel analyzed by atom probe tomography. JOM 70:1752–1757. https://doi.org/10.1007/s11837-018-2974-110.1007/s11837-018-2974-1 ↗
26. Fellinger MR, Hector LG, Trinkle DR (2017) Ab initio calculations of the lattice parameter and elastic stiffness coefficients of bcc Fe with solutes. Comput Mater Sci 126:503–513. https://doi.org/10.1016/j.commatsci.2016.09.04010.1016/j.commatsci.2016.09.040 ↗
27. Fellinger MR, Hector LG, Trinkle DR (2018) Effect of solutes on the lattice parameters and elastic stiffness coefficients of body-centered tetragonal Fe. Comput Mater Sci 152:308–323. https://doi.org/10.1016/j.commatsci.2018.05.02110.1016/j.commatsci.2018.05.021 ↗
28. Gao X, Kim J (2006) Modeling of ductile fracture: significance of void coalescence. Int J Solids Struct 43:6277–6293. https://doi.org/10.1016/j.ijsolstr.2005.08.00810.1016/j.ijsolstr.2005.08.008 ↗
29. Gao X, Wang T, Kim J (2005) On ductile fracture initiation toughness: effects of void volume fraction, void shape and void distribution. Int J Solids Struct 42:5097–5117. https://doi.org/10.1016/j.ijsolstr.2005.02.02810.1016/j.ijsolstr.2005.02.028 ↗
30. Gerbig D, Srivastava A, Osovski S, Hector LG, Bower A (2018) Analysis and design of dual-phase steel microstructure for enhanced ductile fracture resistance. Int J Fract 209:3–26. https://doi.org/10.1007/s10704-017-0235-x10.1007/s10704-017-0235-x ↗
31. Gibbs P, De Moor E, Merwin M, Clausen B, Speer J, Matlock D (2011) Austenite stability effects on tensile behavior of manganese-enriched-austenite transformation-induced plasticity steel. Metal Mater Trans A 42:3691–3702. https://doi.org/10.1007/s11661-011-0687-y10.1007/s11661-011-0687-y ↗
32. Gologanu M, Leblond J-B, Devaux J (1993) Approximate models for ductile metals containing non-spherical voids—case of axisymmetric prolate ellipsoidal cavities. J Mech Phys Solids 41:1723–1754. https://doi.org/10.1016/0022-5096(93)90029-F10.1016/0022-5096(93)90029-F ↗
33. Gologanu M, Leblond J-B, Devaux J (1994) Approximate models for ductile metals containing nonspherical voids—case of axisymmetric oblate ellipsoidal cavities. J Eng Mater Technol 116:290–297. https://doi.org/10.1115/1.290429010.1115/1.2904290 ↗
34. Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: part I-Yield criteria and flow rules for porous ductile media. J Eng Mater Technol 99:2–15. https://doi.org/10.1115/1.344340110.1115/1.3443401 ↗
35. Haltom S, Kyriakides S, Ravi-Chandar K (2013) Ductile failure under combined shear and tension. Int J Solids Struct 50:1507–1522. https://doi.org/10.1016/j.ijsolstr.2012.12.00910.1016/j.ijsolstr.2012.12.009 ↗
36. Harvey D, Jolles M (1990) Relationships between fractographic features and material toughness. In: Quantitative methods in fractography. ASTM International. https://doi.org/10.1520/STP23532S10.1520/STP23532S ↗
37. Hu J (2016) Characterization and modeling of deformation, springback, and failure in advanced high strength steels (AHSSs). Clemson University, Clemson
38. Hu XH, Sun X, Hector L, Ren Y (2017) Individual phase constitutive properties of a TRIP-assisted QP980 steel from a combined synchrotron X-ray diffraction and crystal plasticity approach. Acta Materialia 132:230–244. https://doi.org/10.1016/j.actamat.2017.04.02810.1016/j.actamat.2017.04.028 ↗
39. Iwamoto T, Tsuta T, Tomita Y (1998) Investigation on deformation mode dependence of strain-induced martensitic transformation in trip steels and modelling of transformation kinetics. Int J Mech Sci 40:173–182. https://doi.org/10.1016/S0020-7403(97)00047-710.1016/S0020-7403(97)00047-7 ↗
40. Kadkhodapour J, Butz A, Rad SZ (2011) Mechanisms of void formation during tensile testing in a commercial, dual-phase steel. Acta Materialia 59:2575–2588. https://doi.org/10.1016/j.actamat.2010.12.03910.1016/j.actamat.2010.12.039 ↗
41. Kiran R, Khandelwal K (2014) A triaxiality and Lode parameter dependent ductile fracture criterion. Eng Fract Mech 128:121–138. https://doi.org/10.1016/j.engfracmech.2014.07.01010.1016/j.engfracmech.2014.07.010 ↗
42. Kiran R, Khandelwal K (2015) A coupled microvoid elongation and dilation based ductile fracture model for structural steels. Eng Fract Mech 145:15–42. https://doi.org/10.1016/j.engfracmech.2015.06.07110.1016/j.engfracmech.2015.06.071 ↗
43. Konieczny AA (2003) On the formability of automotive TRIP steels. SAE Tech Paper. https://doi.org/10.4271/2003-01-052110.4271/2003-01-0521 ↗
44. Kuna M, Sun D (1996) Three-dimensional cell model analyses of void growth in ductile materials. Int J Fract 81:235–258. https://doi.org/10.1007/BF0003957310.1007/BF00039573 ↗
45. Lacroix G, Pardoen T, Jacques PJ (2008) The fracture toughness of TRIP-assisted multiphase steels. Acta Materialia 56:3900–3913. https://doi.org/10.1016/j.actamat.2008.04.03510.1016/j.actamat.2008.04.035 ↗
46. Landron C, Maire E, Bouaziz O, Adrien J, Lecarme L, Bareggi A (2011) Validation of void growth models using X-ray microtomography characterization of damage in dual phase steels. Acta Materialia 59:7564–7573. https://doi.org/10.1016/j.actamat.2011.08.04610.1016/j.actamat.2011.08.046 ↗
47. Lani F, Furnémont Q, Van Rompaey T, Delannay F, Jacques P, Pardoen T (2007) Multiscale mechanics of TRIP-assisted multiphase steels: II. Micromech Model Acta Materialia 55:3695–3705. https://doi.org/10.1016/j.actamat.2007.02.01510.1016/j.actamat.2007.02.015 ↗
48. Leal RH (1984) Transformation toughening of metastable austenitic steels. Massachusetts Institute of Technology, Cambridge
49. Lee SH, Lee SH, Kang SH, Han HN, Oh KH, Lee H-C (2008) An observation of micro-crack in transformation-induced plasticity-assisted multiphase steel. ISIJ Int 48:1394–1397. https://doi.org/10.2355/isijinternational.48.139410.2355/isijinternational.48.1394 ↗
50. Lemaitre J (1985) A continuous damage mechanics model for ductile fracture. J Eng Mater Technol 107:83–89. https://doi.org/10.1115/1.322577510.1115/1.3225775 ↗
51. Lin R, Steglich D, Brocks W, Betten J (2006) Performing RVE calculations under constant stress triaxiality for monotonous and cyclic loading. Int J Numer Methods Eng 66:1331–1360. https://doi.org/10.1002/nme.160010.1002/nme.1600 ↗
52. Mahnken R, Schneidt A, Antretter T (2009) Macro modelling and homogenization for transformation induced plasticity of a low-alloy steel. Int J Plast 25:183–204. https://doi.org/10.1016/j.ijplas.2008.03.00510.1016/j.ijplas.2008.03.005 ↗
53. Mühlich U, Brocks W (2003) On the numerical integration of a class of pressure-dependent plasticity models including kinematic hardening. Comput Mech 31:479–488. https://doi.org/10.1007/s00466-003-0454-z10.1007/s00466-003-0454-z ↗
54. Needleman A, Tvergaard V (1987) An analysis of ductile rupture modes at a crack tip. J Mech Phys Solids 35:151–183. https://doi.org/10.1016/0022-5096(87)90034-210.1016/0022-5096(87)90034-2 ↗
55. Nelder JA, Mead R (1965) A simplex method for function minimization. Comput J 7:308–313. https://doi.org/10.1093/comjnl/7.4.30810.1093/comjnl/7.4.308 ↗
56. Oh C-S, Kim N-H, Kim Y-J, Baek J-H, Kim Y-P, Kim W-S (2011) A finite element ductile failure simulation method using stress-modified fracture strain model. Eng Fract Mech 78:124–137. https://doi.org/10.1016/j.engfracmech.2010.10.00410.1016/j.engfracmech.2010.10.004 ↗
57. Olson GB, Cohen M (1975) Kinetics of strain-induced martensitic nucleation. Metal Trans A 6:791–795. https://doi.org/10.1007/BF0267230110.1007/BF02672301 ↗
58. Papaefthymiou S, Prahl U, Bleck W, van der Zwaag S, Sietsma J (2006) Experimental observations on thecorrelation between microstructure andfracture of multiphase steels. Int J Mater Res 97:1723–1731. https://doi.org/10.3139/146.10140610.3139/146.101406 ↗
59. Pardoen T, Hutchinson J (2000) An extended model for void growth and coalescence. J Mech Phys Solids 48:2467–2512. https://doi.org/10.1016/S0022-5096(00)00019-310.1016/S0022-5096(00)00019-3 ↗
60. Pereloma E, Gazder A, Timokhina I (2016) Retained austenite: transformation-induced plasticity. In: Colas R, Totten GE (eds) Encyclopedia of iron, steel, and their alloys. CRC Press, New York, pp 3088–3103. https://doi.org/10.1081/E-EISA-12004920010.1081/E-EISA-120049200 ↗
61. Prahl U, Papaefthymiou S, Uthaisangsuk V, Bleck W, Sietsma J, van der Zwaag S (2007) Micromechanics-based modelling of properties and failure of multiphase steels. Comput Mater Sci 39:17–22. https://doi.org/10.1016/j.commatsci.2006.01.02310.1016/j.commatsci.2006.01.023 ↗
62. Rabotnov Y (1963) On the equations of state for creep. Progress in applied mechanics. Prager Anniversary vol. New York: Macmillan
63. Sarraf IS, Green DE, Jenab A (2018) Damage evolution and void coalescence in finite-element modelling of DP600 using a modified Rousselier model. Eng Fract Mech 196:168–190. https://doi.org/10.1016/j.engfracmech.2018.04.02610.1016/j.engfracmech.2018.04.026 ↗
64. Savic V, Hector L, Basu U, Basudhar A, Gandikota I, Stander N, Park T, Pourboghrat F, Choi KS, Sun X, Hu J, Abu-Farha F, Kumar S (2017) Integrated computational materials engineering (ICME) multi-scale model development for advanced high strength steels. SAE Int. https://doi.org/10.4271/2017-01-022610.4271/2017-01-0226 ↗
65. Schacht T, Untermann N, Steck E (2003) The influence of crystallographic orientation on the deformation behaviour of single crystals containing microvoids. Int J Plast 19:1605–1626. https://doi.org/10.1016/S0749-6419(02)00038-410.1016/S0749-6419(02)00038-4 ↗
66. Shen YF, Qiu LN, Sun X, Zuo L, Liaw PK, Raabe D (2015) Effects of retained austenite volume fraction, morphology, and carbon content on strength and ductility of nanostructured TRIP-assisted steels. Mater Sci Eng A 636:551–564. https://doi.org/10.1016/j.msea.2015.04.03010.1016/j.msea.2015.04.030 ↗
67. Speer JG, Streicher AM, Matlock D, Rizzo F, Krauss G (2003) Quenching and partitioning: a fundamentally new process to create high strength trip sheet microstructures. Symposium, Austenite formation and decomposition, Chicago, IL, 2003. TMS, Warrendale, PA, pp 505–522
68. Srivastava A, Ghassemi-Armaki H, Sung H, Chen P, Kumar S, Bower AF (2015) Micromechanics of plastic deformation and phase transformation in a three-phase TRIP-assisted advanced high strength steel: Experiments and modeling. J Mech Phys Solids 78:46–69. https://doi.org/10.1016/j.jmps.2015.01.01410.1016/j.jmps.2015.01.014 ↗
69. Srivastava A, Bower A, Hector L Jr, Carsley J, Zhang L, Abu-Farha F (2016) A multiscale approach to modeling formability of dual-phase steels. Model Simul Mater Sci Eng 24:025011. https://doi.org/10.1088/0965-0393/24/2/02501110.1088/0965-0393/24/2/025011 ↗
70. Stringfellow RG, Parks DM, Olson GB (1992) A constitutive model for transformation plasticity accompanying strain-induced martensitic transformations in metastable austenitic steels. Acta Metal Et Materialia 40:1703–1716. https://doi.org/10.1016/0956-7151(92)90114-T10.1016/0956-7151(92)90114-T ↗
71. Sutton MA, Orteu JJ (2009) Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications. Springer Science & Business Media, Berlin. https://doi.org/10.1007/978-0-387-78747-310.1007/978-0-387-78747-3 ↗
72. Tekoğlu C, Hutchinson J, Pardoen T (2015) On localization and void coalescence as a precursor to ductile fracture. Philos Trans R Soc A Math Phys Eng Sci 373:20140121. https://doi.org/10.1098/rsta.2014.012110.1098/rsta.2014.0121 ↗
73. Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metal 32:157–169. https://doi.org/10.1016/0001-6160(84)90213-X10.1016/0001-6160(84)90213-X ↗
74. Uthaisangsuk V, Prahl U, Bleck W (2011) Modelling of damage and failure in multiphase high strength DP and TRIP steels. Eng Fract Mech 78:469–486. https://doi.org/10.1016/j.engfracmech.2010.08.01710.1016/j.engfracmech.2010.08.017 ↗
75. Vajragupta N, Uthaisangsuk V, Schmaling B, Münstermann S, Hartmaier A, Bleck W (2012) A micromechanical damage simulation of dual phase steels using XFEM. Comput Mater Sci 54:271–279. https://doi.org/10.1016/j.commatsci.2011.10.03510.1016/j.commatsci.2011.10.035 ↗
76. Weisz-Patrault D (2017) Multiphase model for transformation induced plasticity extended Leblond’s model. J Mech Phys Solids 106:152–175. https://doi.org/10.1016/j.jmps.2017.05.01910.1016/j.jmps.2017.05.019 ↗
77. Wierzbicki T, Bao Y, Lee Y-W, Bai Y (2005) Calibration and evaluation of seven fracture models. Intl J Mech Sci 47:719–743. https://doi.org/10.1016/j.ijmecsci.2005.03.00310.1016/j.ijmecsci.2005.03.003 ↗
78. Wu W, Wang Y-W, Makrygiannis P, Zhu F, Thomas GA, Hector LG, Hu X, Sun X, Ren Y (2018) Deformation mode and strain path dependence of martensite phase transformation in a medium manganese TRIP steel. Mater Sci Eng A 711:611–623. https://doi.org/10.1016/j.msea.2017.11.00810.1016/j.msea.2017.11.008 ↗
79. Xiong XC, Chen B, Huang MX, Wang JF, Wang L (2013) The effect of morphology on the stability of retained austenite in a quenched and partitioned steel. Scripta Materialia 68:321–324. https://doi.org/10.1016/j.scriptamat.2012.11.00310.1016/j.scriptamat.2012.11.003 ↗