journal article·2020-01Open access

Tracking Microstructure Evolution in Complex Biaxial Strain Paths: A Bulge Test Methodology for the Scanning Electron Microscope

E. Plancher, K. Qu, N.H. Vonk, M.B. Gorji, T. Tancogne-Dejean, C.C. Tasan

Experimental Mechanics· Volume 60· Issue 1

Abstract

In this work, a novel method is presented to track site-specific microstructure evolution in metallic materials deformed biaxially along proportional and complex strain paths. A miniaturized bulge test setup featuring a removable sample holder was designed to enable incremental measurements to be performed in a scanning electron microscope, by probing the same position on the sample at different deformation levels, with electron backscatter diffraction (EBSD), electron channeling contrast imaging (ECCI) and other imaging modes. Validation experiments were performed at room temperature on samples prepared from commercial sheet metal (dual-phase steel) and foils (stainless steel). Local strain measurements with the digital image correlation technique confirmed that proportional strain paths with a strain ratio up to 5 can be investigated using elliptical dies in the bulge test holder. It is also shown how complex strain paths can be obtained using a combination of overlapping elliptical dies. Incremental EBSD and ECCI were conducted in configurations relevant for the multi-scale investigation of localized plasticity and damage mechanisms in dual-phase steel. Quantitative information regarding microstructure evolution (phase fractions, orientation fields, dislocation structures, etc.) and regarding local strain distributions could be successfully obtained. This type of data sheds light on underlying deformation mechanisms and provides opportunities to calibrate crystal plasticity models.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Microstructure and Mechanical Properties of Steels · Microstructure and mechanical properties · Metal Forming Simulation Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (72)

Show source-provided references
1. Tasan CC, Hoefnagels JPM, ten Horn CHLJ, Geers MGD (2009) Experimental analysis of strain path dependent ductile damage mechanics and forming limits. Mech Mater 41:1264–1276. https://doi.org/10.1016/j.mechmat.2009.08.00310.1016/j.mechmat.2009.08.003 ↗
2. Hoefnagels JPM, Tasan CC, Maresca F, Peters FJ, Kouznetsova VG (2015) Retardation of plastic instability via damage-enabled microstrain delocalization. J Mater Sci 50:6882–6897. https://doi.org/10.1007/s10853-015-9164-010.1007/s10853-015-9164-0 ↗
3. Horstemeyer MF, Lathrop J, Gokhale AM, Dighe M (2000) Modeling stress state dependent damage evolution in a cast Al-Si-Mg aluminum alloy. Theor Appl Fract Mech 33:31–47. https://doi.org/10.1016/S0167-8442(99)00049-X10.1016/S0167-8442(99)00049-X ↗
4. Bonora N, Gentile D, Pirondi A, Newaz G (2005) Ductile damage evolution under triaxial state of stress: Theory and experiments. Int J Plast 21:981–1007. https://doi.org/10.1016/j.ijplas.2004.06.00310.1016/j.ijplas.2004.06.003 ↗
5. Xue L (2007) Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading. Int J Solids Struct 44:5163–5181. https://doi.org/10.1016/j.ijsolstr.2006.12.02610.1016/j.ijsolstr.2006.12.026 ↗
6. Gardey B, Bouvier S, Richard V, Bacroix B (2005) Texture and dislocation structures observation in a dual-phase steel under strain-path changes at large deformation. Mater Sci Eng A 400–401:136–141. https://doi.org/10.1016/j.msea.2005.01.06610.1016/j.msea.2005.01.066 ↗
7. Volkov IA, Korotkikh YG, Tarasov IS (2009) Modeling complex plastic deformation and fracture of metals under disproportionate loading. J Appl Mech Tech Phys 50:891–90010.1007/s10808-009-0121-z ↗
8. Lapovok R, Hodgson D (2009) A damage accumulation model for complex strain paths: Prediction of ductile failure in metals. J Mech Phys Solids 57:1851–1864. https://doi.org/10.1016/j.jmps.2009.07.00810.1016/j.jmps.2009.07.008 ↗
9. Dietrich L, Socha G (2012) Accumulation of damage in A336 GR5 structural steel subject to complex stress loading. Strain. 48:279–285. https://doi.org/10.1111/j.1475-1305.2011.00821.x10.1111/j.1475-1305.2011.00821.x ↗
10. Kang J, Ososkov Y, Embury JD, Wilkinson DS (2007) Digital image correlation studies for microscopic strain distribution and damage in dual phase steels. Scr Mater 56:999–1002. https://doi.org/10.1016/j.scriptamat.2007.01.03110.1016/j.scriptamat.2007.01.031 ↗
11. Tasan CC, Diehl M, Yan D, Zambaldi C, Shanthraj P, Roters F, Raabe D (2014) Integrated experimental–simulation analysis of stress and strain partitioning in multiphase alloys. Acta Mater 81:386–400. https://doi.org/10.1016/j.actamat.2014.07.07110.1016/j.actamat.2014.07.071 ↗
12. Wang QG (2003) Microstructural effects on the tensile and fracture behavior of aluminum casting alloys A356/357. Metall Mater Trans A Phys Metall Mater Sci 34:2887–2899. https://doi.org/10.1007/s11661-003-0189-710.1007/s11661-003-0189-7 ↗
13. Bieler TR, Eisenlohr P, Roters F, Kumar D, Mason DE, Crimp MA, Raabe D (2009) The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals. Int J Plast 25:1655–1683. https://doi.org/10.1016/j.ijplas.2008.09.00210.1016/j.ijplas.2008.09.002 ↗
14. Pineau A (2006) Development of the local approach to fracture over the past 25 years: Theory and applications. Int J Fract 138:139–166. https://doi.org/10.1007/s10704-006-0035-110.1007/s10704-006-0035-1 ↗
15. Li H, Fu MW, Lu J, Yang H (2011) Ductile fracture: Experiments and computations. Int J Plast 27:147–180. https://doi.org/10.1016/j.ijplas.2010.04.00110.1016/j.ijplas.2010.04.001 ↗
16. Wu W, Wang YW, 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 ↗
17. Oh ST, Park KK, Han HN, Park SH, Oh KH (2009) Transformation Behavior of Retained Austenite in Hydroformed TRIP Steel. Mater Sci Forum 408–412:1341–1346. https://doi.org/10.4028/www.scientific.net/msf.408-412.134110.4028/www.scientific.net/msf.408-412.1341 ↗
18. 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 ↗
19. Schwartz AJ, Kumar M, Adams BL, Field DP (2009) Electron Backscatter Diffraction in Materials Science, 2nd edn. Springer US, Boston, MA. https://doi.org/10.1007/978-0-387-88136-210.1007/978-0-387-88136-2 ↗
20. Zaefferer S, Elhami NN (2014) Theory and application of electron channelling contrast imaging under controlled diffraction conditions. Acta Mater 75:20–50. https://doi.org/10.1016/j.actamat.2014.04.01810.1016/j.actamat.2014.04.018 ↗
21. Ram F, Li Z, Zaefferer S, Hafez Haghighat SM, Zhu Z, Raabe D, Reed RC (2016) On the origin of creep dislocations in a Ni-base, single-crystal superalloy: An ECCI, EBSD, and dislocation dynamics-based study. Acta Mater 109:151–161. https://doi.org/10.1016/j.actamat.2016.02.03810.1016/j.actamat.2016.02.038 ↗
22. Kamaya M, Wilkinson AJ, Titchmarsh JM (2005) Measurement of plastic strain of polycrystalline material by electron backscatter diffraction. Nucl Eng Des 235:713–725. https://doi.org/10.1016/j.nucengdes.2004.11.00610.1016/j.nucengdes.2004.11.006 ↗
23. Pantleon W (2008) Resolving the geometrically necessary dislocation content by conventional electron backscattering diffraction. Scr Mater 58:994–997. https://doi.org/10.1016/j.scriptamat.2008.01.05010.1016/j.scriptamat.2008.01.050 ↗
24. Wilkinson AJ, Meaden G, Dingley DJ (2006) High-resolution elastic strain measurement from electron backscatter diffraction patterns: New levels of sensitivity. Ultramicroscopy. 106:307–313. https://doi.org/10.1016/j.ultramic.2005.10.00110.1016/j.ultramic.2005.10.001 ↗
25. Maurice C, Driver JH, Fortunier R (2012) On solving the orientation gradient dependency of high angular resolution EBSD. Ultramicroscopy. 113:171–181. https://doi.org/10.1016/j.ultramic.2011.10.01310.1016/j.ultramic.2011.10.013 ↗
26. Plancher E, Petit J, Maurice C, Favier V, Saintoyant L, Loisnard D, Rupin N, Marijon JB, Ulrich O, Bornert M, Micha JS, Robach O, Castelnau O (2016) On the Accuracy of Elastic Strain Field Measurements by Laue Microdiffraction and High-Resolution EBSD: a Cross-Validation Experiment. Exp Mech 56:483–492. https://doi.org/10.1007/s11340-015-0114-110.1007/s11340-015-0114-1 ↗
27. Archie F, Li X, Zaefferer S (2017) Micro-damage initiation in ferrite-martensite DP microstructures: A statistical characterization of crystallographic and chemical parameters. Mater Sci Eng A 701:302–313. https://doi.org/10.1016/j.msea.2017.06.09410.1016/j.msea.2017.06.094 ↗
28. Caër C, Pesci R (2017) Local behavior of an AISI 304 stainless steel submitted to in situ biaxial loading in SEM. Mater Sci Eng A 690:44–51. https://doi.org/10.1016/j.msea.2017.02.08710.1016/j.msea.2017.02.087 ↗
29. M.A. Sutton, J.-J. Orteu, H.W. Schreier, Image Correlation for Shape, Motion and Deformation Measurements, 2009. doi: https://doi.org/10.1017/CBO9781107415324.00410.1017/CBO9781107415324.004 ↗
30. Sutton MA, Li N, Joy DC, Reynolds AP, Li X (2007) Scanning electron microscopy for quantitative small and large deformation measurements Part I: SEM imaging at magnifications from 200 to 10,000. Exp Mech 47:775–787. https://doi.org/10.1007/s11340-007-9042-z10.1007/s11340-007-9042-z ↗
31. Allais L, Bornert M, Bretheau T, Caldemaison D (1994) Experimental characterization of the local strain field in a heterogeneous elastoplastic material. Acta Metall Mater 42:3865–388010.1016/0956-7151(94)90452-9 ↗
32. Yan D, Tasan CC, Raabe D (2015) High resolution in situ mapping of microstrain and microstructure evolution reveals damage resistance criteria in dual phase steels. Acta Mater 96:399–409. https://doi.org/10.1016/j.actamat.2015.05.03810.1016/j.actamat.2015.05.038 ↗
33. Fullwood D, Vaudin M, Daniels C, Ruggles T, Wright SI (2015) Validation of kinematically simulated pattern HR-EBSD for measuring absolute strains and lattice tetragonality. Mater Charact 107:270–277. https://doi.org/10.1016/j.matchar.2015.07.01710.1016/j.matchar.2015.07.017 ↗
34. Vermeij T, De Graef M, Hoefnagels J (2019) Demonstrating the potential of accurate absolute cross-grain stress and orientation correlation using electron backscatter diffraction. Scr Mater 162:266–271. https://doi.org/10.1016/j.scriptamat.2018.11.03010.1016/j.scriptamat.2018.11.030 ↗
35. Plancher E, Favier V, Maurice C, Bosso E, Rupin N, Stodolna J, Loisnard D, Marijon JB, Petit J, Micha JS, Robach O, Castelnau O (2017) Direct measurement of local constitutive relations, at the micrometre scale, in bulk metallic alloys. J Appl Crystallogr 50:1–9. https://doi.org/10.1107/S160057671700618510.1107/S1600576717006185 ↗
36. Tatschl A, Kolednik O (2003) On the experimental characterization of crystal plasticity in polycrystals. Mater Sci Eng A 342:152–168. https://doi.org/10.1016/S0921-5093(02)00278-210.1016/S0921-5093(02)00278-2 ↗
37. Tasan CC, Diehl M, Yan D, Zambaldi C, Shanthraj P, Roters F, Raabe D (2014) Integrated experimental-simulation analysis of stress and strain partitioning in multiphase alloys. Acta Mater 81:386–400. https://doi.org/10.1016/j.actamat.2014.07.07110.1016/j.actamat.2014.07.071 ↗
38. Torres EA, Ramírez AJ (2011) In situ scanning electron microscopy. Sci Technol Weld Join 16:68–78. https://doi.org/10.1179/136217110X1278588955002810.1179/136217110X12785889550028 ↗
39. Ghadbeigi H, Pinna C, Celotto S (2013) Failure mechanisms in DP600 steel: Initiation, evolution and fracture. Mater Sci Eng A 588:420–431. https://doi.org/10.1016/j.msea.2013.09.04810.1016/j.msea.2013.09.048 ↗
40. Alaie A, Ziaei Rad S, Kadkhodapour J, Jafari M, Asadi Asadabad M, Schmauder S (2015) Effect of microstructure pattern on the strain localization in DP600 steels analyzed using combined in-situ experimental test and numerical simulation. Mater Sci Eng A 638:251–261. https://doi.org/10.1016/j.msea.2015.04.07110.1016/j.msea.2015.04.071 ↗
41. Tasan CC, Hoefnagels JPM, Geers MGD (2010) Microstructural banding effects clarified through micrographic digital image correlation. Scr Mater 62:835–838. https://doi.org/10.1016/j.scriptamat.2010.02.01410.1016/j.scriptamat.2010.02.014 ↗
42. Tasan CC, Hoefnagels JPM, Dekkers ECA, Geers MGD (2012) Multi-Axial Deformation Setup for Microscopic Testing of Sheet Metal to Fracture. Exp Mech 52:669–678. https://doi.org/10.1007/s11340-011-9532-x10.1007/s11340-011-9532-x ↗
43. Van Petegem S, Guitton A, Dupraz M, Bollhalder A, Sofinowski K, Upadhyay MV, Van Swygenhoven H (2017) A Miniaturized Biaxial Deformation Rig for in Situ Mechanical Testing. Exp Mech 57:569–580. https://doi.org/10.1007/s11340-016-0244-010.1007/s11340-016-0244-0 ↗
44. Gorji MB, Mohr D (2017) Micro-tension and micro-shear experiments to characterize stress-state dependent ductile fracture. Acta Mater 131:65–76. https://doi.org/10.1016/j.actamat.2017.03.03410.1016/j.actamat.2017.03.034 ↗
45. M. Kubo, H. Yoshida, A. Uenishi, S. Suzuki, Y. Nakazawa, Development of Biaxial Tensile Test System for In-situ Scanning Electron Microscope and Electron Backscatter Diffraction Analysis, 56 (2016) 669–677
46. ISO 16808, ISO 16808:2014 Metallic materials - sheet and strip - determination of biaxial stress-strain curve by means of bulge test with optical measuring systems, 2014
47. Mulder J, Vegter H, Aretz H, Keller S, Van Den Boogaard AH (2015) Accurate determination of flow curves using the bulge test with optical measuring systems. J Mater Process Technol 226:169–187. https://doi.org/10.1016/j.jmatprotec.2015.06.03410.1016/j.jmatprotec.2015.06.034 ↗
48. Reis LC, Prates PA, Oliveira MC, Santos AD, Fernandes JV (2017) Anisotropy and plastic flow in the circular bulge test. Int J Mech Sci 128–129:70–93. https://doi.org/10.1016/j.ijmecsci.2017.04.00710.1016/j.ijmecsci.2017.04.007 ↗
49. Min J, Stoughton TB, Carsley JE, Carlson BE, Lin J, Gao X (2017) Accurate characterization of biaxial stress-strain response of sheet metal from bulge testing. Int J Plast 94:192–213. https://doi.org/10.1016/j.ijplas.2016.02.00510.1016/j.ijplas.2016.02.005 ↗
50. Chen K, Scales M, Kyriakides S, Corona E (2015) Effects of anisotropy on material hardening and burst in the bulge test. Int J Solids Struct 82:70–84. https://doi.org/10.1016/j.ijsolstr.2015.12.01210.1016/j.ijsolstr.2015.12.012 ↗
51. Suttner S, Merklein M (2016) Experimental and numerical investigation of a strain rate controlled hydraulic bulge test of sheet metal. J Mater Process Technol 235:121–133. https://doi.org/10.1016/j.jmatprotec.2016.04.02210.1016/j.jmatprotec.2016.04.022 ↗
52. Livescu V, Bingert JF, Liu C, Lovato ML, Patterson BM (2015) Biaxial deformation in high purity aluminum. Mater Sci Eng A 648:330–339. https://doi.org/10.1016/j.msea.2015.09.08610.1016/j.msea.2015.09.086 ↗
53. Neggers J, Hoefnagels JPM, Hild F, Roux S, Geers MGD (2014) Direct Stress-Strain Measurements from Bulged Membranes Using Topography Image Correlation. Exp Mech 54:717–727. https://doi.org/10.1007/s11340-013-9832-410.1007/s11340-013-9832-4 ↗
54. O. Paul, J. Gaspar, M. Engineering, Thin-Film Characterization Using the Bulge Test, in: Reliab. MEMS, Wiley-VCH Verlag GmbH & Co. KGaA, 2008: pp. 67–121. doi: https://doi.org/10.1002/9783527622139.ch310.1002/9783527622139.ch3 ↗
55. Tonge TK, Atlan LS, Voo LM, Nguyen TD (2013) Full-field bulge test for planar anisotropic tissues: Part I-Experimental methods applied to human skin tissue. Acta Biomater 9:5913–5925. https://doi.org/10.1016/j.actbio.2012.11.03510.1016/j.actbio.2012.11.035 ↗
56. Jayyosi C, Bruyère-Garnier K, Coret M (2017) Geometry of an inflated membrane in elliptic bulge tests: Evaluation of an ellipsoidal shape approximation by stereoscopic digital image correlation measurements. Med Eng Phys 48:150–157. https://doi.org/10.1016/j.medengphy.2017.06.02010.1016/j.medengphy.2017.06.020 ↗
57. Rees DWA (1995) Plastic flow in the elliptical bulge test. Int J Mech Sci 37:373–389. https://doi.org/10.1016/0020-7403(94)00071-Q10.1016/0020-7403(94)00071-Q ↗
58. Rees DWA (1996) Sheet orientation and forming limits under diffuse necking. Appl Math Model 20:624–635. https://doi.org/10.1016/0307-904X(96)00010-810.1016/0307-904X(96)00010-8 ↗
59. Ragab AR, Habib OE (1984) Determination of the Equivalent Stress. Mater Sci Eng 64:5–1410.1016/0025-5416(84)90068-5 ↗
60. Williams BW, Boyle KP (2016) Characterization of anisotropic yield surfaces for titanium sheet using hydrostatic bulging with elliptical dies. Int J Mech Sci 114:315–329. https://doi.org/10.1016/j.ijmecsci.2016.05.02210.1016/j.ijmecsci.2016.05.022 ↗
61. Atkinson M (1994) Hydraulic bulging of near-isotropic sheet metal through an elliptical aperture. Int J Mech Sci 36:247–255. https://doi.org/10.1016/0020-7403(94)90073-610.1016/0020-7403(94)90073-6 ↗
62. Abu-Farha F, Verma R, Hector LG (2012) High temperature composite forming limit diagrams of four magnesium AZ31B sheets obtained by pneumatic stretching. J Mater Process Technol 212:1414–1429. https://doi.org/10.1016/j.jmatprotec.2012.01.00810.1016/j.jmatprotec.2012.01.008 ↗
63. Zhu T, Sutton MA, Li N, Orteu JJ, Cornille N, Li X, Reynolds AP (2011) Quantitative Stereovision in a Scanning Electron Microscope. Exp Mech 51:97–109. https://doi.org/10.1007/s11340-010-9378-710.1007/s11340-010-9378-7 ↗
64. Kammers AD, Daly S (2013) Digital Image Correlation under Scanning Electron Microscopy: Methodology and Validation. Exp Mech 53:1743–1761. https://doi.org/10.1007/s11340-013-9782-x10.1007/s11340-013-9782-x ↗
65. Liao J, Sousa JA, Lopes AB, Xue X, Barlat F, Pereira AB (2017) Mechanical, microstructural behaviour and modelling of dual phase steels under complex deformation paths. Int J Plast 93:269–290. https://doi.org/10.1016/j.ijplas.2016.03.01010.1016/j.ijplas.2016.03.010 ↗
66. D. Banabic, H.-J. Bunge, K. Pöhlandt, A. E. Tekkaya, Formability of Metallic Materials, 2000. doi:10.1007/978-3-662-04013-310.1007/978-3-662-04013-3 ↗
67. Nolze G (2007) Image distortions in SEM and their influences on EBSD measurements. Ultramicroscopy. 107:172–183. https://doi.org/10.1016/j.ultramic.2006.07.00310.1016/j.ultramic.2006.07.003 ↗
68. Britton TB, Maurice C, Fortunier R, Driver JH, Day AP, Meaden G, Dingley DJ, Mingard K, Wilkinson AJ (2010) Factors affecting the accuracy of high resolution electron backscatter diffraction when using simulated patterns. Ultramicroscopy. 110:1443–1453. https://doi.org/10.1016/j.ultramic.2010.08.00110.1016/j.ultramic.2010.08.001 ↗
69. Maurice C, Dzieciol K, Fortunier R (2011) A method for accurate localisation of EBSD pattern centres. Ultramicroscopy. 111:140–148. https://doi.org/10.1016/j.ultramic.2010.10.00710.1016/j.ultramic.2010.10.007 ↗
70. Abu-Farha F, Hu X, Sun X, Ren Y, Hector LG, Thomas G, Brown TW (2018) In Situ Local Measurement of Austenite Mechanical Stability and Transformation Behavior in Third-Generation Advanced High-Strength Steels. Metall Mater Trans A Phys Metall Mater Sci 49:2583–2596. https://doi.org/10.1007/s11661-018-4660-x10.1007/s11661-018-4660-x ↗
71. Park T, Hector LG, Hu X, Abu-Farha F, Fellinger MR, Kim H, Esmaeilpour R, Pourboghrat F (2019) Crystal Plasticity Modeling of 3rd Generation Multi-phase AHSS with Martensitic Transformation. Int J Plast. https://doi.org/10.1016/j.ijplas.2019.03.01010.1016/j.ijplas.2019.03.010 ↗
72. SHI Q, Roux S, Latourte F, Hild F, Loisnard D, Brynaert N (2018) On the use of SEM correlative tools for in situ mechanical tests. Ultramicroscopy. 184:71–87. https://doi.org/10.1016/j.ultramic.2017.08.00510.1016/j.ultramic.2017.08.005 ↗