The Deformation Behavior of Rare-earth Containing Mg Alloys Ajith Chakkedath 1, C.J. Boehlert 1,2, Z. Chen 1, M.T. Perez-Prado 2, J. Llorca 2, J. Bohlen 3, S. Yi 3, and D. Letzig 3. 1 Michigan State University, East Lansing, Michigan. 2 IMDEA Materials Institute, Madrid, Spain. 3 Magnesium Innovation Centre MagIC, Helmholtz Centre, Geesthacht, Germany. This work was supported by the NSF Division of Material Research Materials World Network (Grant No. DMR1107117). CHEMS Annual Research Forum, East Lansing, MI, May 14 2014.
Our Lab and Equipment Website: http://www.egr.msu.edu/~boehlert/group/ 20 mm Metallography lab Scanning Electron Microscope Backscatter Electron detector. EDS detector. EBSD detector. In-situ stage Screw driven. Tension/compression. Heater (~800 C). Cooling system. 2
Magnesium *The size of the circle corresponds to the density of the material Fe Al Mg Plastic https://www.wikipedia.org/ http://www.cvmminerals.com/images/table.jpg King, J. F. "Magnesium: commodity or exotic?." Materials science and technology 23.1 (2007): 1-14. 3
Advantages Mg is the lightest structural metal (1.7 g/cc). 35% lighter than Al (2.7 g/cc). Over four times lighter than steel (7.9 g/cc). Specific strength Plastics Mg Steel Al Ti High specific strength and stiffness compared to other engineering materials. Specific stiffness Mg is plentiful. Eight most common element on earth; third most abundant metal. (each cubic meter of sea water contains ~1.3 kg Mg). The ores are found in most countries. R. J. L. Stanner: Am. Sci., 1976, 64, 258. Shigley, C. M. "Minerals from the sea." J. Metals 3 (1951): 25-29. King, J. F. "Magnesium: commodity or exotic?." Materials science and technology 23.1 (2007): 1-14. 4 Kulekci, M K. "Mg and its alloys applications in auto industry." The International Journal of Advanced Manufacturing Technology39.9-10 (2008): 851-865.
History 1940s: Northrop XP-56 (First airplane nearly completely designed with Mg) 1930s: VW Beetle (~20 kg of Mg; Mg crankcase and transmission housing) http://auto.howstuffworks.com/ 1950s: B-36 Bomber (Contained ~19000 lbs of Mg) 1960s: Titan I rocket (~1100 lbs Mg sheet) Friedrich, Horst E., and Barry L. Mordike. Magnesium technology. Berlin [etc.]: Springer, 2006. 5
Applications Automotive industry (powertrain, body parts, chassis, etc.) Electronic devices (laptop cases, etc.) Ford F-150 front structure bolster/radiator support component is die-cast Mg. IMA Mg showcase, Jan 2009, 1-4. Sporting goods (bicycle frame, etc.) Aerospace (transmission, etc.) Hand-held working tools Biomedical applications Porsche 911 Targa: Mg roof shell and panel bow. Gupta, Manoj, and Nai Mui Ling Sharon. Magnesium, magnesium alloys, and magnesium composites. John Wiley & Sons, 2011. 6
Why Light-weighting? http://www.whitehouse.gov/ http://www.washingtonpost.com/ 7
Why Light-weighting? For every 10% of weight reduction, the fuel economy improves by 6.6-8%. Weight reduction of 100 kg represents a fuel saving of about 0.5 l / 100 km for a vehicle. Every kg of weight reduced in a vehicle, results in ~20 kg of CO 2 reduction. S. Sugimoto, 53rd Annual Mg Congress (Ube City, Japan, 1996), p. 38. Friedrich, H E., and B L. Mordike. Mag Tech. Berlin [etc.]: Springer, 2006. Ghassemieh, E. "Mater s in auto appl, state of the art & prospects." Ch 20 (2011). Kulekci, M K. The International Journal of Advanced Manufacturing Technology39.9-10 (2008): 851-865. Committee on the Effectiveness and Impact of CAFE Standards, National Research Council, Washington D.C.: National Academies Press, 2002. 8
Why Mg is Attractive to Auto Industry? 22% to 70% weight reduction is possible for automotive components by using Mg alloys instead of alternative materials. Life cycle inventory study on Mg alloy substitution suggests decrease in total energy consumption and CO 2 emissions. Tański, T., L. A. Dobrzański, and K. Labisz. ISSUES 1 (2010): 2. Kulekci, M K. The Intl J. of Adv Manu. Tech 39.9-10 (2008): 851-865. 9
Physical Properties of Mg Mg has hexagonal close-packed (HCP) structure at RT and atmospheric pressure. Typical lattice parameters: a = 0.32 nm & c = 0.52 nm c/a ratio = 1.624 Unit cell of Mg The non-symmetric HCP structure partly complicates the mechanical and physical properties of Mg and its alloys (unlike steel or Al which has highly symmetric cubic structure). Yoo, M. H. "Slip, twinning, and fracture in hexagonal close-packed metals."metallurgical Transactions A 12.3 (1981): 409-418. 10
Common Deformation Modes Slip Twin Basal <a> slip {0001}<1-210> 1 st order prismatic <a> slip {-1100}<11-20> 2 nd order pyramidal <c+a> slip {-12-12}<1-213> Extension twin {01-12}<0-111> 86 @ <11-20> Contraction twin {01-11}<01-1-2> 56 @ <11-20> 11
Schmid Factor & Critical Resolved Shear Stress (CRSS) Shear stress is required to move dislocations. Component of force in slip direction: Area of slip surface: Resolves shear stress on the slip plane in the slip direction: F = Applied force A = cross sectional area Applied stress, σ = F/A Schmid law: slip happens when resolved shear stress is greater than a critical value. So, systems with high Schmid factor are more likely to be active. E. Schmid and W. Boas, Kristalplas (Plasticity of Crystals) (Berlin and London: Springer and Hughes, 1950) 12
Challenges for Mg Use Anisotropic material properties. Low elevated temperature strength. CRSS Vs. Temperature for different deformation modes. Limited cold formability: Extension twinning and basal slip (provides only 2 independent deformation modes) are easily activated at RT. According to Von Mises criterion at least 5 independent modes are required for homogeneous deformation of polycrystals. Normally processed at 300-450 C to activate more deformation modes. R. von Mises: Z. Angew. Math. Mech., 1928, vol. 6, p. 85. Yoo, M. H. Metallurgical Transactions A 12.3 (1981): 409-418. Bettles, C, and M Gibson. Jom 57.5 (2005): 46-49. Barnett, M. R. Metallurgical and materials transactions A 34.9 (2003): 1799-1806. 13
Challenges Texture Formation Conventional alloys: strong texture formation during wrought processing (Eg: Mg-9Al-1Zn (wt%)). Schematic representation of texture formation in conventional alloys. Ram Extrusion direction 0001 pole figure showing strong basal texture in rolled Mg-3Al-1Zn (wt%). 0001 TD RD max=20.385 32.000 16.000 8.000 4.000 2.000 1.000 0.500 The strong texture formation can be inhibited by dilute RE additions (Eg: Ce, Y, Gd, Nd). Nd was shown to be a stronger texture modifier compared to other RE elements (Ce, Y) in Mg-Mn alloys. 0001 pole figure showing weak random texture in extruded Mg-1Mn-1Nd (wt%). Zhe Chen s dissertation, 2012, MSU. Watanabe, H., et al. Materials Science and Engineering: A 527.23 (2010): 6350-6358. Bohlen, Jan, et al. Materials Science and Engineering: A 527.26 (2010): 7092-7098. 14
Goals To understand why Nd additions inhibit Texture Formation in Mg alloys. Understand the effect of Nd on the deformation behavior, mechanical properties and microstructural evolution. Optimize the Nd content and microstructure for Structural Applications. The following alloys are part of my study (*All compositions are in wt%): Extruded Mg-1Mn-1Nd Extruded Mg-1Mn-0.3Nd Extruded Mg-1Mn Cast Mg-1Mn-1Nd Cast Mg-1Mn-0.3Nd (two extrusions) Indirect extrusion www.kayealu.co.uk 15
In-Situ Characterization Technique In-situ uniaxial testing using a screw driven stage inside a SEM + EBSD analysis SE detector Tensile stage Heater EBSD detector BSE detector Thermocouple Specimen A specially-designed specimen was used along with an Ernest Fullam Tensile Stage to perform in-situ tensile and compression experiments. SE SEM images were acquired during the deformation. EBSD orientation maps were acquired before and after the tensile tests. Cooling water 16
Slip Trace Analysis Secondary electron (SE) SEM images Undeformed 6.8% strain 16.8% strain 27.4% strain Schmid factor Slip system Plane/ direction 0.44 3 (0001)[-1-120] 0.41 7 (11-2-2)[-1-123] 0.40 8 (-12-12)[1-213] 0.40 12 (2-1-12)[-2113] 0.22 2 (0001)[-12-10] 0.21 1 (0001)[-2110] 0.21 9 (-2112)[2-1-13] 0.20 11 (1-212)[-12-13] 0.11 5 (10-10)[1-210] 0.11 4 (01-10)[2-1-10] 0.02 10 (-1-122)[11-23] 0.00 6 (-1100)[11-20] 3 Basal slip (0001)[-1-120] Schmid factor 0.44 1 Euler angle: 0.8 199.271 66.071 168.56 0.6 0.4 0.2 0-0.2 11-0.4 5-0.6-0.8-1 12 Loading direction 7 4 3 2 1 Generated slip traces 10 8 6 17 9
Twin Trace Analysis Secondary electron (SE) SEM images EBSD map Undeformed 2.7% strain 6% strain Undeformed 6% strain - Unit cell rotation Loading direction Euler angle: 59.207 59.304 287.98 5 extension twin (0-1 1 2)<0 1-1 1> Schmid factor 0.33 Rotation across twin boundary: 83.1 o about [-2 1 1 0] Schmid factor Twin system Plane/ direction 0.33 5 (0-112)[01-11] 0.28 2 (01-12)[0-111] 0.11 12 (1-101)[1-10-2] Euler angle: 0.10 59.207 10 (-1011)[-101-2] 59.304 287.98 0.02 4 (-1012)[10-11] 0.01 6 (1-102)[-1101] 0.00 1 (10-12)[-1011] -0.02 3 (-1102)[1-101] -0.5-0.03 11 (0-111)[0-112] 0.5-0.10 9 (-1101)[-110-2] -0.12 7 (10-11)[10-1-2] -0.47 8 (01-11)[01-1-2] 1 0-1 6 12 3 2 1 5 7 8 9 4 11 10 Generated twin traces 18
Stress, MPa Stress, MPa Tensile Properties 160 160 140 140 120 120 100 100 80 80 60 40 50C 150C 250C 60 40 50C 150C 250C 20 Mg-1Mn-1Nd MN11 Tension (wt%) 20 Mg-1Mn-0.3Nd MN10 Tension (wt%) 0 0 0 0.5 1 1.5 2 0 0.5 1 1.5 2 Displacement, mm Displacement, mm The load drops indicate the stress relaxation that occurred when the experiment was paused and SE SEM photomicrographs were acquired. The strength values decreased with increasing temperature. Mg-1Mn-0.3Nd (wt%) exhibited greater strength than Mg-1Mn-1Nd (wt%) at RT. 19
Number of Slip Traces or Twins Observed in all of the Grains Analyzed Number of Slip Traces or Twins Observed in all of the Grains Analyzed Deformation Mode Distribution @ 50 C Mg-1Mn-1Nd (wt%) Number of observations: 42 Extension twin 13 nos Pyramidal <c+a> 6 nos Prismatic <a> 2 nos Basal <a> 21 nos Mg-1Mn-0.3Nd (wt%) Number of observations: 9 Extension twin 8 nos Contraction twin 1 nos 12 10 8 6 4 extension twin pyramidal <c+a> prismatic <a> basal <a> 31 % 14 % 5 % 50 % 6 4 2 extension twin contraction twin 89 % 11 % 2 0 0 Schmid Factor distribution Schmid factor distribution 20
Number of Slip Traces or Twins Observed in all of the Grains Analyzed Number of Slip Traces or Twins Observed in all of the Grains Analyzed Deformation Mode Distribution @ 150 C Mg-1Mn-1Nd (wt%) Number of observations: 49 Extension twin 3 nos Pyramidal <c+a> 3 nos Prismatic <a> 14 nos Basal <a> 29 nos 16 14 extension twin 6 % 12 pyramidal <c+a> 6 % 10 prismatic <a> 29 % 8 basal <a> 59 % 6 4 2 0 8 6 4 2 0 Mg-1Mn-0.3Nd (wt%) Number of observations: 7 Extension twin 1 nos Contraction twin 1 nos Basal <a> 5 nos extension twin 14 % contraction twin 14 % basal <a> 72 % Schmid Factor distribution Schmid factor distribution 21
Number of Slip Traces or Twins Observed in all of the Grains Analyzed Number of Slip Traces or Twins Observed in all of the Grains Analyzed Deformation Mode Distribution @ 250 C Mg-1Mn-1Nd (wt%) Number of observations: 119 Pyramidal <c+a> 10 nos Prismatic <a> 4 nos Basal <a> 105 nos Mg-1Mn-0.3Nd (wt%) Number of observations: 33 Pyramidal <c+a> 1 nos Prismatic <a> 4 nos Basal <a> 28 nos 50 45 40 35 30 25 20 15 10 5 0 pyramidal <c+a> prismatic <a> basal <a> 9 % 3 % 88 % 25 20 15 10 5 0 pyramidal <c+a> prismatic <a> basal <a> 3 % 12 % 85 % Schmid Factor distribution Schmid factor distribution
NORMALIZE CRSS Ratio Estimation Methodology Schmid factor dist Basal Prism Py c+a Ext twin 0-0.05 0 0 0 0 0.05-0.10 0 0 1 0 0.10-0.15 0 0 0 2 0.15-0.20 0 0 0 0 0.20-0.25 1 0 1 0 0.25-0.30 0 0 0 1 0.30-0.35 0 0 0 0 0.35-0.40 1 1 0 0 0.40-0.45 13 4 1 0 0.45-0.50 14 9 0 0 Initial microstructure Experimentally observed distribution Li, H., et al. "Methodology for estimating the CRSS ratios of α-phase Ti using EBSD-based trace analysis." Acta Materialia 61.20 (2013): 7555-7567. Potential deformation system distribution Schmid factor dist Basal Prism Py c+a Ext twin 0-0.05 544 484 1611 814 0.05-0.10 446 425 1269 667 0.10-0.15 478 485 1036 500 0.15-0.20 483 424 883 420 0.20-0.25 452 404 715 342 0.25-0.30 393 402 664 284 0.30-0.35 376 455 629 213 0.35-0.40 316 386 477 152 0.40-0.45 306 374 475 93 0.45-0.50 313 268 455 78 23
Estimated CRSS Ratios For Mg-1Mn-1Nd (wt%) extrusions at 50 C: Material/ Testing condition Prismatic <a> Basal <a> Pyramidal <c+a> Basal <a> Extension twinning Basal <a> Extrusion 1* 12.6 (3.1, 30.4) 12.2 (0.6, 40.0) 0.6 (0.2, 1.4) Extrusion 2* 11.0 (3.4, 18.7) 875.9 (29.8, 4033.5) 0.8 (0.3, 1.5) The mean CRSS ratios and the corresponding 90% confidence intervals (listed in parenthesis) for prismatic <a> slip, pyramidal <c+a> slip and extension twinning estimated using the deformation results at 50 C. *Extrusion 1 was extruded at 300 C and extrusion 2 at 275 C. 24
What we have learned thus far Higher Nd content results in better high temperature strength retention in Mg-1Mn (wt%). More than 0.3 wt% Nd is needed to inhibit the conventional extrusion texture which causes anisotropic behavior. The estimated CRSS ratios suggest that Nd addition to Mg- 1Mn (wt%) results in an increase of the CRSS for basal slip. Overall, Nd-containing Mg alloys show promise for automobile applications. Mg alloys have a bright future and are here to stay! 25
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