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simultaneous strength-ductility enhancement of a nano-lamellar alcocrfeni 2.1 eutectic high entropy alloy by cryo-rolling and annealing | scientific reports

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Nano-lamellar (L12+B2) AlCoCrFeNi2.1 eutectic high entropy alloy (EHEA) was processed by cryo-rolling and annealing. The EHEA developed a novel hierarchical microstructure featured by fine lamellar regions consisting of FCC lamellae filled with ultrafine FCC grains (average size ~200250nm) and B2 lamellae, and coarse non-lamellar regions consisting of ultrafine FCC (average size ~200250nm), few coarse recrystallized FCC grains and rather coarse unrecrystallized B2 phase (~2.5m). This complex and hierarchical microstructure originated from differences in strain-partitioning amongst the constituent phases, affecting the driving force for recrystallization. The hierarchical microstructure of the cryo-rolled and annealed material resulted in simultaneous enhancement in strength (Yield Strength/YS: 143726MPa, Ultimate Tensile Strength/UTS: 156233MPa) and ductility (elongation to failure/ef~141%) as compared to the as-cast as well as cold-rolled and annealed materials. The present study for the first time demonstrated that cryo-deformation and annealing could be a novel microstructural design strategy for overcoming strength-ductility trade off in multiphase high entropy alloys.

Increasing strength of materials () leads to a reduction in cross-sectional area (A) for bearing a certain load (P) according to the definition of stress: \(\sigma =P/A\). This provides the necessary impetus for utilizing ultrahigh strength materials for making engineering components with thinner cross-sections; leading to significant weight savings with immense environmental benefits. Unfortunately, however, the increase in strength is usually accompanied by the reduction in ductility. This so called strength-ductility trade-off remains a bottleneck1. The strategies for simultaneously increasing strength and ductility in metallic materials have mostly adopted novel alloy design approaches, including martensitic transformation from metastable austenite (e.g. TRIP steels) or by way of promoting extensive deformation twins (e.g. TWIP steels)2,3. More recently, microstructure design approach including gradient structures4,5,6,7,8,9,10, heterogeneous lamella structures11, bimodal structures12,13,14,15, harmonic structures16,17,18, laminate structure19,20, nano-domained21, nano-twinned grains22 and compositional nanoscale hierarchy23,24. These microstructure design strategies are based on hierarchical architecture featured by differences in hardness and strength between different domains, while the size and geometry of the domains might be very different. Thus, significant heterogeneities (microstructural, crystal structure or compositional) are present in such materials which appear to be the key factors for overcoming the strength-ductility trade-off.

Recently, high entropy alloys (HEAs) have emerged as a novel class of multicomponent alloys containing five or more elements in equi-atomic or nearly equi-atomic compositions25. Despite having a large number of components, HEAs can show simple phases such as FCC, BCC and FCC+BCC25,26, presumably due to their high configurational entropy, which decreases the free energy sufficiently to stabilize simple solid solution phases. HEAs have triggered a remarkable research interest in recent years26,27,28,29,30 due to their unique and intriguing mechanical properties27,28,31,32,33.

In order to further enhance the properties of HEAs, dual and multi-phase HEAs having mixture of soft and hard phases are suggested. Non-equiatomic AlCoCrFeNi2.1 eutectic HEA is a noteworthy example of such multiphase HEAs34. Wani et al.35,36 have recently demonstrated that thermo-mechanical processing can effectively tailor the microstructure and properties of the EHEAs. In the present work, an interesting effect of cryo-rolling and annealing on the microstructure and mechanical properties of AlCoCrFeNi2.1 EHEA is reported. Although cryo-rolling has been investigated in single phase HEAs37,38, we have found a remarkable effect of cryo-rolling on tensile properties of the EHEA for the first time.

Figure1(a) shows the TEM micrograph of the as-cast AlCoCrFeNi2.1 EHEA. The selected area diffraction pattern (SADP) shows the presence of ordered FCC (L12) (Fig.1(b), obtained from the green circled region in Fig.1(a)) and ordered BCC (B2) (Fig.1(c), obtained from the red circled region in Fig.1(a)) phases in the lamellar morphology, as reported previously35,36. The average thickness of the L12 (~0.57m) is greater than that of the B2 phase (~0.20 m). Consequently, the volume fraction of the L12 phase (~65%) is greater than the B2 phase (~35%), as determined from the EBSD phase maps35,36. The B2 lamellae also contain nano-sized disordered BCC precipitates35.

(a) TEM micrograph of the starting EHEA. The SADPs in (b) and (c) correspond to the L12 (marked by green circle in (a)) and B2 (indicated by red circle in (a)), respectively. The zone axes (Z.A.) of the L12 and B2 phases are [011] and [001], respectively. (d) Shows the microstructure in the 90% cryo-rolled condition (viewed along ND). The SADPs in (e) and (f) correspond to the nanocrystalline disordered FCC (indicated by the green circle in (d)) L12 (marked by green circle in (d)) and B2 (indicated by red circle in (d)), respectively. The ZA of the SADP of the B2 is [001].

Figure1(d) shows the microstructure of the EHEA after 90% cryo-rolling. The clear ring patterns in the SADP (Fig.1(e) obtained from the region marked by green circle in Fig.1(d)) reveal the formation of deformation induced ultrafine nanostructure involving various orientations. The absence of rings corresponding to the superlattice reflections confirms the disordering of the initially ordered L12 phase during cryo-rolling. In contrast, the presence of clear superlattice spots in the SADP (Fig.1(f) obtained from the region marked by the red circle in Fig.1(d)) shows that the B2 phase maintains the ordered structure.

Figure2(a) shows the scanning probe microscope (SPM) topographic image while Fig.2(b) shows the corresponding hardness map of a scanned area in the as-cast material. The B2 lamellae (dark contrast regions in Fig.2(a)) are clearly identified by their lower thickness than the FCC lamellae. The hardness map reveals much higher hardness of the B2 phase than the L12 phase (Fig.2(b)). The hardness of the B2 phase (~12GPa) is nearly three times higher than that of the L12 phase (~4GPa) in the as-cast EHEA.

The microstructure of the 90% cryo-rolled material after annealing at 800C is shown in the EBSD phase map in Fig.3(a). Interestingly, the microstructure shows remarkable heterogeneity due to the presence of the fine lamellar regions consisting of FCC (green) and B2 (red) lamellae (the region surrounded by a white ellipse), and the coarse non-lamellar regions consisting of FCC grains (regions marked by a yellow arrow) and coarse B2 phase marked by white arrows. In the lamellar region, the FCC lamellae are filled with ultrafine recrystallized grains (average size ~200250nm) surrounded by high angle boundaries (HABs drawn by black lines), while the B2 lamellae predominantly have only low-angle boundaries (LABs drawn by white lines). In the non-lamellar regions, ultrafine recrystallized grains of FCC with grain sizes of 200250nm surrounded by HABs are found, while a few coarse recrystallized FCC grains with annealing twins also exist (marked by yellow arrow). The coarse B2 in the non-lamellar regions has an average thickness of ~2.5m and contains profuse LAB networks, indicating unrecrystallized state of the B2 regions. This is confirmed in the TEM micrograph (Fig.3(b)) showing B2 phase in a coarse non-lamellar region. The B2 subgrains (~200nm) are separated by LABs (marked by arrows). The misorientation angles of selected boundaries determined using the kikuchi-line diffraction pattern analyses are shown in Fig.3(b). The interior of the subgrains is free of dislocations, but the nano-sized precipitates present in the as-cast starting material35 remain undissolved.

(a) EBSD phase map of 90% cryo-rolled EHEA after annealing at 800C for 1h. The region enclosed by the ellipse in (a) shows a typical lamellar region while the arrows indicate coarse B2 regions. (b) TEM micrograph (observed along ND) shows B2 subgrains in the coarse non-lamellar region of the cryo-rolled and annealed EHEA separated by LABs (marked by arrows) along with their misorientation angles. (c) Shows the microduplex structure of the 90% cold-rolled EHEA after annealing at 800C for 1h.

The phase map of the cold-rolled and annealed material (Fig.3(c)) reveals a strikingly different microstructure from that of the cryo-rolled and annealed material. Figure3(c) shows a homogenous microduplex morphology consisting of nearly equiaxed FCC (green) and B2 (red) grains (grain sizes of ~0.5m). The fraction of B2 (~45%), determined from the EBSD phase map, is slightly lower than that in the cryo-rolled and annealed material (~52%). Notably, the coarse B2 grains in the cold-rolled and annealed material do not include LAB networks inside, in contrast to the B2 phase in the cryo-rolled and annealed material (Fig.3(a)).

Figure4(a) and (b) show typical topographic images of a coarse non-lamellar region and a fine lamellar region, respectively, in the cryo-rolled and annealed EHEA. The hardness map (Fig.4(c)) of the coarse non-lamellar region (Fig.4(a)) shows higher fraction of lower hardness regions (~68GPa, highlighted by red) than intermediate (~1012GPa, highlighted in yellow) and very hard (12GPa, highlighted in red) regions. The hardness map of the fine lamellar region (Fig.4(d)) shows higher average hardness than coarse non-lamellar region (Fig.4(c)). However, the hardness distribution in the non-lamellar region (Fig.4(c)) covers a wider hardness spectrum. As a remarkable consequence, the cryo-rolled and annealed material has a complicated heterogeneous microstructure composed of softer regions (8GPa), intermediate regions (~812GPa) and much harder regions (12GPa), thus covering the entire hardness spectrum. In contrast, the as-cast material consisting of soft L12 and hard B2 phases with vastly different hardness (Fig.2).

The as-cast EHEA shows a relatively high yield strength (YS~6155MPa), ultimate tensile strength (UTS) (~110538MPa) and large tensile elongation (ef~171%) (Fig.5). The strength increases at the expense of ductility after cryo and cold-rolling. The EHEA specimens cold- or cryo-rolled to 90% reduction in thickness show quite similar strength and ductility. The cryo-rolled and annealed material shows a remarkable increase in YS (~143726MPa), UTS (~156233MPa) and elongation to failure (ef~141%) compared with those of the cold-rolled and annealed material (YS~11008MPa, UTS~117515MPa and ef~110.1%). Compared to the as-cast material (YS~6155MPa, UTS~110538MPa and ef~171%), the cryo-rolled and annealed material shows outstanding increase in strength but the elongation to failure remains almost unchanged.

The strength vs elongation plot (Fig.6) compares the properties of cryo-rolled and annealed EHEA with several HEAs composed of FCC and/or BCC phases. The closed and open symbols in the plot indicate YS and UTS, respectively. The present cryo-rolled and annealed EHEA possesses the highest YS and UTS, while maintaining appreciable ductility. Figure6 also shows the strength*elongation line corresponding to 20,000MPa %. The present EHEA has much higher YS (and UTS) that the other two HEAs, namely Al0.5CoCrCuFeNi and Fe40Mn27Ni26Co5Cr2 which fall above this line. Evidently, the present cryo-rolled and annealed EHEA is much superior to other HEAs39,40,41,42,43 as a structural material possessing ultrahigh strength and ductility.

The EHEA with nano-lamellar mixture of L12 and B2 phases shows disordering of the L12 phase but retention of the ordered B2 structure during cryo-rolling, quite similar to the behavior observed during cold-rolling35,36. However, the microstructures of the cryo- and cold-rolled materials are strikingly dissimilar after annealing. The cold-rolled material shows a rather homogenous ultrafine microduplex structure after annealing due to the breakdown of lamellar deformation structure, typically observed in cold-rolled and annealed duplex alloys44. In sharp contrast, the cryo-rolled material after annealing shows a distinctly heterogeneous hierarchical microstructure and unprecedented tensile properties.

It is noted that hardness and flow stress of bcc materialsare strongly affected by decreasing temperature (undergoing typical ductile to brittle transition) while those of FCC materials remain unaffected. These different hardness and flow stress dependencies of the two phases affect the strain-partitioning. In the starting EHEA, the B2 phase is much harder than the L12 phase (Fig.2). The relative hardness difference between the two phases (Hcold) would result in the L12 phase being deformed more easily than the B2 phase at the initial stages of deformation. However, with increasing deformation at room temperatures, the B2 phase would eventually start deforming35,39,45. In contrast, at the cryo-rolling temperature, the hardness or the flow stress of the B2 phase is expected to increase significantly, while the hardness of the L12 would be much less affected. Therefore, the relative hardness difference of the two phases during cryo-rolling (Hcryo) should be much higher than that during cold-rolling (HcryoHcold). Consequently, much higher strain should be partitioned in the L12 phase during cryo-rolling than that during cold-rolling. Thus, for the same deformation level, the B2 phase in the cryo-rolled EHEA accumulates much lower strain than that in the cold-rolled EHEA. The vastly different strain-partitioning patterns in cryo- and cold-rolled materials should affect the stored energy and driving force for recrystallization.

The stored energies of the two phases in the cold-rolled EHEA are sufficient for complete recrystallization resulting in the microduplex structure, similar to heavily deformed and annealed duplex steels44. In contrast, the significantly lower strain partitioning in the B2 phase in the cryo-rolled EHEA coupled with its ordered structure would diminish the driving force for recrystallization significantly46 and promote recovery. This is clearly evidenced from the presence of the distinct LAB network inside the coarse B2 sub-grains (Fig.3(b) and (c)). In contrast, the high stored energy of the heavily deformed L12/FCC phase in cryo-rolled material leads to fully recrystallized ultrafine FCC grains. This results in the formation of a unique hierarchical microstructure consisting of fine lamellar and coarse non-lamellar regions instead of a microduplex structure.

The most remarkable feature of the hierarchical microstructure of the cryo-rolled and annealed EHEA is the simultaneous increase in strength and ductility. While simultaneous enhancement in strength-ductility has been demonstrated in previously reported HEAs due to TRIP and deformation twinning47,48,49, careful TEM analysis in the present EHEA rules out the possibility of either TRIP35,36 or presence of extensive deformation twins50. Evidently, the simultaneous increase in strength and ductility of the cryo-rolled and annealed material originates from the characteristic hierarchical microstructure consisting of fine lamellar regions, ultrafine recrystallized FCC grains, coarse recrystallized FCC grains and coarse recovered B2 regions.

Recently, the role of back stress on the simultaneous enhancement in strength and ductility in heterogeneous hierarchical materials consisting of soft and hard domains has been clarified11,51,52. The deformation in heterogeneous materials occur in three different stages. In stage I, both soft and hard domains deform elastically similar to conventional homogeneous materials. In stage II, the soft domains will start plastically deforming while the hard domains will resist plastic deformation, leading to a mechanical incompatibility. As a result, the plastically deforming soft domains cannot deform freely. This would lead to plastic strain gradients at the domain interface, which need to be accommodated by geometrically necessary dislocations (GNDs) which should lead to significant strengthening of the soft phase. When soft domains are completely surrounded by hard domains, GNDs will pile up at the domain boundaries resulting in a high back stress. This will result in significantly higher yield strength than that predicted by the simple rule of mixtures. In stage III, both soft and hard domains will start plastically deforming but the soft domains will be subjected to a larger strain53,54,55. When the neighboring domains experience different levels of strain, strain gradients will build up near the domain boundaries. The strain gradient increases with increasing strain partitioning, producing significant back stress work hardening. In essence, the existence of strain gradients in heterogeneous materials with different hardness domains should be associated with significant back stress strengthening, which should delay necking during tensile loading and improve strength and ductility51.

The nano-indentation maps clearly show that the heterogeneous hierarchical microstructure in the cryo-rolled and annealed material is composed of regions consisting of soft, intermediate and hard constituents, covering a wide hardness spectrum. Thus, the microstructure of the cryo-rolled and annealed material, which gives rise to profuse domain boundaries separating domains of different hardness, appears particularly favorable to benefit from significant back stress strengthening. In contrast, the lamellar and duplex microstructures of the as-cast and cold-rolled and annealed materials, respectively are featured by a mixture of soft L12/FCC and hard B2 phases, but lack the nano-scale structural and hardness hierarchy, which lead to their inferior strength-ductility combination.

It is rather interesting to note that certain intermetallic phases such as Fe3Al also show simultaneous increase in strength and ductility in recovered or partially recrystallized conditions (having a few recrystallized grains)56,57. While the mechanisms responsible for this rather interesting behavior of Fe3Al have not been investigated in-depth46, the simultaneous increase in strength and ductility of the cryo-rolled and annealed material with hierarchical microstructure composed of ultrafine recrystallized, recovered and partially recrystallized phases is evidently in excellent agreement56,57.

In summary, the effect of thermo-mechanical processing by cryo-rolling and annealing on microstructure and properties of nano-lamellar (L12+B2) AlCoCrFeNi2.1 EHEA was investigated. The cryo-rolled and annealed EHEA developed a novel hierarchical microstructure after annealing. The synergistic effect exerted by the hierarchical microstructure resulted in outstanding increase in strength without loss of ductility when compared to the as-cast as well as cold-rolled and annealed materials. The present work demonstrates the potential of cryo-rolling for developing EHEAs with outstanding strength-ductility balance.

AlCoCrFeNi2.1 EHEA was prepared by arc melting in a Ti-gettered high-purity argon atmosphere using high purity elements (99.9%). The melt was suction-cast into a copper mold (15mm (width) 90mm (length) 3mm (thickness)). Multi-pass cryo-rolling of the as-cast EHEA was carried out using a laboratory scale rolling mill (SPX Precision Instruments, Fenn Division, USA) up to ~90% reduction in thickness. Before and immediately after each pass, the samples were immersed in a liquid N2 bath for 45minutes. The 90% cryo-rolled samples were annealed for 1hour (h) at 800C and water quenched. In order to highlight the effect of cryo-rolling and annealing, comparisons were made with a 90% cold-rolled (at room temperature) specimen annealed at 800C for 1h35,36.

Nano-indentation tests were carried out using a TI950 Tribo-indenter (Hysitron, USA) equipped with a sharp cube-corner probe (apex radius of curvature of ~40nm). During each indentation, the load was increased linearly from 1 N to 500 N over a period of 0.25seconds (sec.), kept constant for 0.25sec., and unloaded to 1 N over a period of 0.25sec. before moving to the next indent position. All nano-indentation data were analyzed using the standard Oliver-Pharr method58. Tensile properties were determined at ambient temperature using a universal testing machine (Shimadzu, Japan) with an initial strain rate of 8.3104s1.

Electron backscatter diffraction (EBSD) system (Oxford Instruments, UK) attached to a scanning electron microscope (SEM) (Carl-Zeiss, Germany; Model: SUPRA 40) and by transmission electron microscope (TEM) (JEOL 2010 operated at 200kV) was used for microstructural studies. EBSD dataset acquired using the AztecHKL software (Oxford Instruments, UK) were analyzed by TSL-OIMTM software (EDAX Inc., USA). The samples for the EBSD and TEM investigations were prepared using mechanical polishing followed by electropolishing in an electrolyte of 90% ethanol+10% perchloric acid.

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The financial support DST, India (EMR/2016/002215) and (JICA-CKP); the Grant-in-Aid for Scientific Research (S) and ESISM (MEXT, Japan (15H05767)); the startup grants from advance materials Science at Chalmers University of Technology, Junior Researcher Grant from the Swedish Research Council under grant 2015-04087 are sincerely acknowledged.

S. Sheikh and S. Guo have prepared the starting HEA. I.S. Wani has carried out the thermo-mechanical processing and EBSD experiments. T. Bhattacharjee has carried out the TEM investigations and tensile testing. T. Bhattacharjee, I.T. Clark and T. Okawa have carried out the nano-indentation measurements. P.P. Bhattacharjee has written the manuscript. T. Bhattacharjee, N. Tsuji and S. Guo have contributed in the manuscript preparation.

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the articles Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the articles Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

Bhattacharjee, T., Wani, I.S., Sheikh, S. et al. Simultaneous Strength-Ductility Enhancement of a Nano-Lamellar AlCoCrFeNi2.1 Eutectic High Entropy Alloy by Cryo-Rolling and Annealing. Sci Rep 8, 3276 (2018). https://doi.org/10.1038/s41598-018-21385-y

reagglomeration phenomena in fine dry grinding of coal | springerlink

Investigations were performed on fine grinding of bituminous coal in a laboratory-scale pulverizer. The results indicated that the breakage behavior at relatively coarse sizes (i.e., greater than about 20 m) is essentially normal. However, at fine sizes (i.e., less than about 10 m), there is clear evidence of reagglomeration. A simplified population-balance model for simultaneous growth and breakage is formulated. Breakage rates and breakage distributions were assumed to follow the patterns typically observed in simple grinding systems. It is recognized, however, that solid particles and agglomerates may exhibit different breakage behaviors. Agglomeration rates are assumed to be determined by contact probability, i.e., by the relative numbers of interacting particles. Based on comparisons between model simulations and experimental data, it appears that agglomerate rebreakage rates and fragment size distributions are quite different from those for solid particles. The result is that product size passes through a minimum and then increases with time as agglomeration begins to dominate.

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member SME, graduate student, research associate, and professor of mineral processing, member SME, graduate student, research associate, and professor of mineral processing, member SME, graduate student, research associate, and professor of mineral processing, Department of Mineral Engineering, The Pennsylvania State University, University Park, PA, USA

sonochemically activated solid-state synthesis of batio3 powders - sciencedirect

We report the sonochemically activated solid-state synthesis of BaTiO3 powders. Unlike conventional ball-mill mixing, coarse BaCO3 and fine TiO2 powders were sonochemically mixed in ethanol, requiring only 5min for full mixing and activation. Significantly accelerated phase conversion to BaTiO3 via a solid-state reaction was achieved by the sonochemical mixing, and the process exhibited almost Arrhenius-type activation behavior depending on the ultrasonic power. The sonochemical activation was attributed to the preferential fragmentation of BaCO3 by the ultrasonic irradiation, which led to the particle size reduction and homogeneous mixing in the sonochemical mixtures. Based on the structural, dielectric, and ferroelectric characterizations, we suggest that the sonochemical mixing can replace the time-consuming ball-mill mixing for the solid-state synthesis of BaTiO3 powders and can also be applied to develop a time-saving, contamination-free, and cost-effective process for various ceramic industries.