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Experimental Mechanics

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20.08.2019 | Research paper

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

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

Erschienen in: Experimental Mechanics | Ausgabe 1/2020

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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.

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Cruciform geometry enforces fracture to take place in the thinned center region of the sample, overriding local microstructural effects. The Marciniak test, on the other hand, creates a homogeneous multi-axially strained region where the fracture point is dictated by the microstructure.

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.2009.08.003 CrossRef

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/s10853-015-9164-0 CrossRef

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-X CrossRef

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.2004.06.003 CrossRefMATH

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.2006.12.026 CrossRefMATH

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.2005.01.066 CrossRef

Volkov IA, Korotkikh YG, Tarasov IS (2009) Modeling complex plastic deformation and fracture of metals under disproportionate loading. J Appl Mech Tech Phys 50:891–900CrossRef

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.2009.07.008 CrossRef

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.x CrossRef

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.2007.01.031 CrossRef

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.2014.07.071 CrossRef

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/s11661-003-0189-7 CrossRef

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.2008.09.002 CrossRefMATH

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/s10704-006-0035-1 CrossRefMATH

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.2010.04.001 CrossRef

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.2017.11.008 CrossRef

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.408-412.1341 CrossRef

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)00047-7 CrossRef

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/10.1007/978-0-387-88136-2 CrossRef

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.2014.04.018 CrossRef

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.2016.02.038 CrossRef

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.2004.11.006 CrossRef

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.2008.01.050 CrossRef

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.2005.10.001 CrossRef

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.2011.10.013 CrossRef

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/s11340-015-0114-1 CrossRef

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.2017.06.094 CrossRef

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.2017.02.087 CrossRef

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/CBO9781107415324.004

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-z CrossRef

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 42:3865–3880CrossRef

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.2015.05.038 CrossRef

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.2015.07.017 CrossRef

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.2018.11.030 CrossRef

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/S1600576717006185 CrossRef

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)00278-2 CrossRef

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.2014.07.071 CrossRef

38.

Torres EA, Ramírez AJ (2011) In situ scanning electron microscopy. Sci Technol Weld Join 16:68–78. https://doi.org/10.1179/136217110X12785889550028 CrossRef

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.2013.09.048 CrossRef

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.2015.04.071 CrossRef

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.2010.02.014 CrossRef

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-x CrossRef

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/s11340-016-0244-0 CrossRef

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.2017.03.034 CrossRef

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.2015.06.034 CrossRef

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.2017.04.007 CrossRef

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.2016.02.005 CrossRef

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.2015.12.012 CrossRef

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.2016.04.022 CrossRef

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.2015.09.086 CrossRef

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/s11340-013-9832-4 CrossRef

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.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.2012.11.035 CrossRef

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.2017.06.020 CrossRef

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-Q CrossRef

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)00010-8 CrossRefMATH

59.

Ragab AR, Habib OE (1984) Determination of the Equivalent Stress. Mater Sci Eng 64:5–14CrossRef

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.2016.05.022 CrossRef

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)90073-6 CrossRef

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.2012.01.008 CrossRef

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/s11340-010-9378-7 CrossRef

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-x CrossRef

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.2016.03.010 CrossRef

66.

D. Banabic, H.-J. Bunge, K. Pöhlandt, A. E. Tekkaya, Formability of Metallic Materials, 2000. doi:10.1007/978-3-662-04013-3

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.2006.07.003 CrossRef

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.2010.08.001 CrossRef

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.2010.10.007 CrossRef

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-x CrossRef

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.2019.03.010

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.2017.08.005 CrossRef

Titel: Tracking Microstructure Evolution in Complex Biaxial Strain Paths: A Bulge Test Methodology for the Scanning Electron Microscope
verfasst von: E. Plancher
K. Qu
N.H. Vonk
M.B. Gorji
T. Tancogne-Dejean
C.C. Tasan
Publikationsdatum: 20.08.2019
Verlag: Springer US
Erschienen in: Experimental Mechanics / Ausgabe 1/2020
Print ISSN: 0014-4851
Elektronische ISSN: 1741-2765
DOI: https://doi.org/10.1007/s11340-019-00538-8

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