This invention relates to TRIP steel alloy thin cast products, such as strips and sheets, and methods for making the same, such as by a twin roll caster.
In a twin roll caster, molten metal is introduced between a pair of counter-rotated, internally cooled casting rolls so that metal shells solidify on the moving roll surfaces, and are brought together at the nip between them to produce a solidified strip product, delivered downwardly from the nip between the casting rolls. The term “nip” is used herein to refer to the general region at which the casting rolls are closest together. The molten metal is poured from a ladle through a metal delivery system comprised of a tundish and a core nozzle located above the nip to form a casting pool of molten metal, supported on the casting surfaces of the rolls above the nip and extending along the length of the nip. This casting pool is usually confined between refractory side plates or dams held in sliding engagement with the end surfaces of the rolls so as to dam the two ends of the casting pool against outflow.
In the past, high-strength low-carbon thin strip with yield strengths of 413 MPa (60 ksi) or higher, in strip thicknesses less than 3.0 millimeters (mm), have been made by recovery annealing of cold rolled strip. Cold rolling was required to produce the desired thickness. The cold roll strip was then recovery annealed to improve the ductility without significantly reducing the strength. However, the final ductility of the resulting strip was still relatively low and the strip would not achieve total elongation levels over 6%, which is required by some building codes for steels used for structural components. Such recovery annealed, cold rolled, low-carbon steel was generally suitable only for simple forming operations, e.g., roll forming and bending. Producing steel strip with higher ductility using the cold rolled and recovery annealed manufacturing route was not technically feasible in these final strip thicknesses.
Throughout the years, the demand for high strength steels has increased. But generally, there has been a compromise between strength and ductility. However, Transformation Induced Plasticity (TRIP) steel is a type of steel alloy, which exhibits both excellent strength and ductility. TRIP steel has a triple phase microstructure consisting of ferrite, bainite, and retained austenite. Transformation induced plasticity refers to the transformation of retained austenite to martensite during plastic deformation. See M. Zhang, Continuous cooling transformation diagrams and properties of micro-alloyed TRIP steels, Materials Science and Engineering A 438-440, 2006. This property allows TRIP steels to have a high formability (i.e. achieve greater elongation), while retaining excellent strength. Generally, the transformation of retained austenite produces a high carbon martensite phase that is very brittle; however, in TRIP steel, the retained austenite is finely dispersed in the ferrite phase. This fine dispersion allows TRIP steels to retain their tensile strength while increasing the total elongation. See also, William D. Callister, Materials Science and Engineering An Introduction, 7th edition, Wiley, 2007, pg. 292.
One advantage of TRIP steels is that they have higher ductility than other steels with similar tensile strength. TRIP steels are suitable for structural and reinforcement parts of complex shapes. For example, the ductility and strength of TRIP steels make them a good candidate for automotive applications. Structural components can be made thinner because TRIP steels have the ductility necessary to withstand high deformation processes such as stamping, as well as the strength and energy absorption characteristics to meet safety regulations for automotive parts. TRIP steels also have high strain hardening capacity. They exhibit good strain redistribution and thus, good drawability. High strain hardening capacity and high mechanical strength lend these steels good energy absorption capacity. TRIP steels also exhibit a strong bake hardening (BH) effect following deformation, which further improves their crash performance.
TRIP steels often contain significant additions of aluminum, sometimes up to several weight percent. High levels of aluminum present challenges to all continuous casting operations due to the possibility of alumina formation and associated clogging. In strip casting, the orifices through which the steel must flow measure tens of millimeters. It follows that the formation of alumina can create a situation where these orifices become clogged with alumina, which is certainly problematic for the casting process.
Therefore, there is still a need for a high strength high ductility alloy sheet that is better composed for manufacture.
Disclosed herein are TRIP (transformation induced plasticity) steel alloy thin metal strips or, stated differently, high strength, high ductility steel alloy thin metal strips formed of a composition described herein, being substantially free or free of aluminum. In being substantially free, the aluminum content is equal to or less than 0.01% by weight. As used herein, “sheet” includes plate or strip unless specifically stated otherwise.
In particular instances, such methods of forming a TRIP steel thin metal strip included:
In one specific embodiment of a method of forming a TRIP steel thin metal strip as produced by the steps of above, the thin metal strip being formed of a steel alloy composition may comprise:
More generally, a TRIP steel thin metal strip can be described as having an as-cast thickness of less than 3 mm or 2 mm, where the thin metal strip is formed of a steel alloy composition comprising by weight, up to substantially 0.23% carbon, substantially between 1.0% and 6% chromium, substantially between 10% and 17.5% manganese, substantially between 0.5% and 1.75% silicon, and iron, with a residual aluminum content of less than 0.01% aluminum and other impurities resulting from melting.
In one specific embodiment of a TRIP steel thin metal strip, the TRIP steel thin metal strip can be described as having an as-cast thickness of less than 3 mm or 2 mm, where the thin metal strip is formed of a steel alloy composition comprising by weight, up to substantially 0.23% carbon, substantially between 1.0% and 6% chromium, greater than 12% and up to 17.5% manganese, substantially between 0.5% and 1.75% silicon, and iron, with a residual aluminum content of less than 0.01% aluminum and other impurities resulting from melting.
With regard to the specific compositions described above, in each case, the nitrogen content may be up to 0.02%, by weight. It is noted that the inclusion of up to 0.1% niobium by weight may be employed as a grain refiner and precipitation strengthener. While certain embodiments of the compositions provide that the thin metal strip comprises a composition characterized as having an ε-martensite start temperature (Msε) measuring between 90° C. and 111° C., this temperature range may be broader in other variations since these temperatures are based upon calculations dependent upon variations that may arise due to various real-world factors. Likewise, in embodiments where the thin metal strip comprises a composition characterized as having an α-martensite start temperature (Msα) measuring between 190° C., ±100° C., and 225° C., ±100° C., this temperature range may also be broader in other variations for the same reasons.
Further disclosed are methods of forming the TRIP (transformation induced plasticity) steel alloy sheets or, stated differently, high strength, high ductility steel alloy sheets. In particular instances, such sheets are cast, such as by use of a twin-roll caster, for example.
Additional details and other variations are described below.
The patent or application file contains at least one drawing executed in color. Copies of this patent or patent application publication with color drawing(s) will be provided by the Office upon request and payment of the necessary fee.
It is known that alloying with Si, Al, and Cr promote the formation of hexagonal ε-martensite. Aluminum addition is beneficial with respect to recrystallization during hot rolling; however, these aluminum-containing alloys are more difficult to continuously cast. Furthermore, alloys with high Si show significant resistance to recrystallization during hot-working as shown in
Optionally, it may be desired that the proposed alloy be flexible enough to produce plate, such as for military armor or automotive sheet. High strain rate testing on two-stage TRIP alloys has shown a positive strain rate dependence where both the flow stress and the true fracture strain increase with increasing strain rates. These attributes may be important, such as for both military armor and crashworthiness of automotive sheet.
It is then desirous for an alloy to be formulated for production as single phase γ-austenite in the hot rolled plate or sheet by cold-work and intercritical annealing where a tri-phase microstructure is produced, M23(C,N)6, to reduce dynamic strain aging associated with nitrogen interacting with dislocations in the ferrite formed during intercritical annealing and an γ-austenite composition that would produce the two-stage TRIP behavior. The single phase γ-austenite hot rolled plate or sheet may or may not have a fine grained microstructure. For example, when the single phase γ-austenite is formed using a strip casting system, such as a twin-roll casting system described below, the microstructure is not fine grained but may be subsequently treated, such as using thermo-cycling, to achieve fine grained microstructure.
It is also desirous for the chemistry of the γ-austenite, whether as a single phase or tri-phase microstructure, to be formulated to maximize the amount of room temperature γ-austenite or ε-martensite. It has been observed for manganese alloys containing more than 13 wt. % Mn that the difference in martensite start temperatures between Msε and Msα should be negative to obtain higher volume fractions of austenite as shown in
An iterative process was used to formulate three potential alloys for investigation.
Room temperature stacking fault energies were calculated using eq. (1) with n=2.
SFE(mJ/m2)=nρ(ΔGγ→ε)+2σγ/ε eq. (1)
The start temperature for the ε-martensite (Msε) was calculated by determining the temperature at which SFE=0 mJ/m2 for the case of n=4. The α-martensite start temperature (Msα) was calculated according to the work of D. M. Field, D. S. Baker, and D. C. Van Aken in Met Trans A, 2017, DOI. 10.1007/s 11661-017-4020-2, where the strain energy of transformation, (ΔGstrγ→α) was balanced against the chemical driving force (ΔGChemγ→α) according to eq. (2) and eq. (3).
ΔGstr+ΔGchemγ→α=0 eq. (2)
ΔGstr(J/mol)=EΩδ2(14.8−0.13T) eq. (3)
where ΔGChemγ→α is calculated according to a modified regular solution model described by D. M. Field, D. S. Baker, and D. C. Van Aken in Met Trans A, 2017, DOI. 10.1007/s 11661-017-4020-2. Omega (Ω) is the molar volume for iron, and delta (δ) is the lattice misfit between the γ-austenite and α-martensite. Single-phase ΔMs values were held constant at −96±4° C. based on results from the initial two-stage TRIP trials. The composition, Ms temperatures, and microstructural components of Al-containing, two-stage TRIP steel and the Cr-containing alloy of interest are shown in
When comparing the 7.8 SFE and 0.7 SFE alloys of
Addition of niobium (Nb) and chromium (Cr) are expected to decrease the stability of the austenite through the formation of NbC and M23(C,N)6 precipitates. FactSage 7.0™ with the FSstel database was utilized to understand the solidification path, solvus temperatures of NbC and M23(C,N)6, and the composition of the intercritical γ-austenite for the alloys proposed in
All three alloys in
In an effort to predict the transformation characteristics of the austenite formed during batch annealing, a study comparing known microstructures in batch annealed materials were compared to the weight fractions of α-ferrite predicted using FactSage 7.0™ software. In addition, the predicted chemistry of the austenite was compared to the athermal martensite formed as observed after cooling to room temperature. A study of eight (8) alloys suggests a calculation temperature of 525±10° C. (depending upon the alloy system) best fits the experimental results obtained by annealing at 600° C. This temperature discrepancy between predicted and observed microstructures is attributed to the non-dilute solution condition for these heavily alloyed Mn-steels and contributions of a magnetic component to thermodynamic equilibrium.
With regard to the study of eight (8) alloys noted previously, calculations were made to calibrate FactSage predictions for intercritical annealing with the observed batch annealed microstructures for the eight (8) alloys identified in
Validation of the calculations shown in
Predicted batch annealed microstructures for the proposed Alloys 1-3 are presented in
Phase chemistry for γ-austenite, NbC, and M23(C,N)6 as a function of process temperature is shown in
Two alloys were investigated, the first alloy being Alloy 2 and the second alloy being Alloy 2 with an addition of aluminum. The chemistry according to optical emission spectroscopy with carbon and nitrogen determined by LECO combustion analysis is shown in
These alloys were further evaluated for twin roll strip casting and the formation of thin metal strips, which included the performance of dip testing. These dip tests were performed while melting Alloy 2 (referred to as “Cr” (by weight, 0.17% carbon, 13.9% manganese, 1.1% silicon, 3.3% chromium, 0.042% niobium, with the balance being iron) in a 200 pounds (lbs) coreless induction furnace. Copper block (with a surface roughness of Ra 14 μm) was used for these dip tests. Two thermocouples were placed in the block at a distance of 2 mm and 4 mm from the contact surface individually. Dip speed was set at 1.5 m/s. At this speed, the copper block was submerged into the liquid steel for 0.2 second. After each dip, the temperature curves of the copper block were transferred to a heat flux calculator to inversely estimate the average heat flux across the liquid steel and copper block interface during the 0.2 seconds. A comparison of the experimental and calculated curves shown in
Three (3) dips were performed for various chemistry and covering gas. Dip #1 was performed under an argon (Ar) gas cover while Dip #2 and Dip #3 were each performed under N2 (nitrogen) gas cover. Ferro-chrome was added after Dip #2 to study the effect of Cr addition on the heat flux. Parameters for three (3) dips are shown in
To initially evaluate these alloys without the added expense of strip casting, casting and milling of the steel was performed to obtain billets of 6.86 cm×6.86 cm×19.05 cm (2.7 in×2.7 in×7.5 in). Hot rolling was performed in three stages, breakdown, roughing, and finishing, to obtain a total hot reduction of 97%. Breakdown of the 6.86 cm (2.7 in) thick block was performed at 1250° C. (2282° F.) to solutionize the NbC and the billet was reduced to a 2.54 cm (1 in) thick plate. Roughing was performed at 1100° C. (2012° F.) to reduce the plate to 1.27 cm (0.5 in), and finishing occurred at 950° C. (1742° F.) to the final hot band thickness of 0.22 cm (0.086 in). Hot band materials exited the rolling mill at approximately 800° C. (1472° F.). Once the final gauge thickness was obtained, cooling to room temperature was performed by placing the hot band between two thermal insulating blankets. Electron backscattered diffraction was conducted and analyzed using OIM Analysis™ to generate EBSD-OIM maps of the hot band microstructure, which are shown in
After formation of the cooled hot band, cold rolling was performed followed by annealing to obtain a final product having certain microstructure and material properties. Cold rolling was performed using a Stanat rolling mill in the 4-high configuration to obtain a cold reduction of 50±3%. Annealing was performed at different temperatures using batch annealing furnaces operated at 600° C., 628±1° C., and 650° C. (1112, 1162, and 1202° F.) for 20 hours followed by a furnace cool for a cooling time of ˜25 hours to 50° C. (122° F.). Stress-strain graphs of the Cr and Cr+Al alloys are shown in
To understand the lack of necking observed in the Cr alloy, inclusion analysis was performed using the automated ASPEX analysis feature of the as-cast material. The inclusion density and area coverage are shown in
While any such sheet contemplated herein may be formed by any method and using any mechanism(s), in certain exemplary instances, the sheets are cast. It is further appreciated that any desired casting operation may be employed. For example, a twin roll casting process using a twin roll caster may be employed. The use of a twin roll casting process is advantageous for forming thin metal strip products using the TRIP alloys described herein which are substantially free of aluminum. Certainly, the twin roll casting process provides an economical benefit by efficiently generating a thin metal strip having an as-cast near net shape. What this means is that while other processes may require significant reduction of the as-cast thickness of a sheet well over 50% before reaching its final, cooled thickness, the twin roll casting process forms a thin metal strip that is substantially or relatively close to its final cooled thickness. In such instances, no more than a 40% reduction in the as-cast thickness may be required. Also, because these substantially aluminum-free TRIP alloy are difficult to cold roll, hot rolling is easily performed immediately after formation of the thin metal strip from a twin roll caster. Additionally, the twin roll casting process is able to achieve thin metal strips having improved properties when employing these substantially aluminum-free TRIP alloys.
By example, an exemplary twin roll casting process is further described, and includes:
It is appreciated that the molten metal employed in the methods, as with the resulting thin metal strip or sheet, may form any of a variety of steel alloys contemplated herein.
In one example, with reference to
The ladle 13 typically is of a conventional construction supported on a rotating turret 40. For metal delivery, the ladle 13 is positioned above a movable tundish 14 in the casting position as shown in
The movable tundish 14 may be fitted with a slide gate 25, actuable by a servo mechanism, to allow molten metal to flow from the tundish 14 through the slide gate 25, and then through a refractory outlet shroud 15 to a transition piece or distributor 16 in the casting position. From the distributor 16, the molten metal flows to the delivery nozzle 17 positioned between the casting rolls 12 above the nip 18.
With reference to
With continued reference to
The sealed enclosure 27 is formed by a number of separate wall sections that fit together with seal connections to form a continuous enclosure that permits control of the atmosphere within the enclosure. Additionally, the scrap receptacle 26 may be capable of attaching with the enclosure 27 so that the enclosure is capable of supporting a protective atmosphere immediately beneath the casting rolls 12 in the casting position. The enclosure 27 includes an opening in the lower portion of the enclosure, lower enclosure portion 44, providing an outlet for scrap to pass from the enclosure 27 into the scrap receptacle 26 in the scrap receiving position. The lower enclosure portion 44 may extend downwardly as a part of the enclosure 27, the opening being positioned above the scrap receptacle 26 in the scrap receiving position. As used in the specification and claims herein, “seal”, “sealed”, “sealing”, and “sealingly” in reference to the scrap receptacle 26, enclosure 27, and related features may not be completely sealed so as to prevent atmospheric leakage, but rather may provide a less than perfect seal appropriate to allow control and support of the atmosphere within the enclosure as desired with some tolerable leakage.
With continued reference to
With reference now to both
After the thin metal strip or sheet is formed (cast) using any desired process, such as the strip casting process described above in conjunction with
With regard to hot rolling, while various amounts of hot reduction may be achieved (that is, a reduction in the thickness of the as-cast strip), in certain instances up to 40% reduction may be achieved. In other instances, hot reduction of 20% to 40% is achieved using the hot rolling mill. For the different TRIP alloys described herein, it is advantageous to hot roll these alloys in lieu of cold rolling, as cold rolling would prove difficult and could cause the material properties of the strip to significantly increase (jump), which is undesirable. However, cold rolling up to 30% reduction (or in certain instances 20% to 30% cold reduction) may be performed. It is also conceived of performing both hot and cold rolling to achieve a final strip having a final reduced thickness, where after hot rolling (hot reduction), cold reduction is performed by cold rolling.
Exemplary hot rolling and cooling may be performed in any desired manner. For example, referring again to the exemplary embodiment shown in
After exiting the hot rolling mill 32, the hot rolled cast strip then passes onto a run-out table 33, where the strip may be cooled by contact with a coolant, such as water, supplied via water jets 90 or other suitable means, and by convection and radiation. In particular instances such as shown, the hot rolled strip may then pass through a second pinch roll stand 91 having rollers 91A to provide tension on the strip, and then to a coiler 92. The thickness of strip may be between about 0.3 and about 3 millimeters in thickness after hot rolling in certain instances, while other thicknesses may be provided as desired.
The strip 21 is passed through the hot mill to reduce the as-cast thickness before the strip 21 is cooled. In particular instances, the hot solidified strip (the cast strip) is passed through the hot mill while at an entry temperature greater than 1050° C., and in certain instances up to 1150° C. After the strip 21 exits the hot mill 32, the strip 21 is cooled. Cooling may be achieved by any known methods using any known mechanism(s), including those described above. In certain instances, the cooling is sufficiently rapid to avoid the onset of appreciable ferrite, which is also influenced by composition.
In view of the foregoing, the following identifies certain specific embodiments of the subject matter described and/or shown herein, which may be expanded or narrowed as desired. In one specific embodiment, a method of forming a TRIP steel thin metal strip comprises:
In another embodiment of the above the composition includes by weight up to 0.05% (0.02%) nitrogen.
In an embodiment of each of the above the composition includes by weight up to 0.1% niobium.
In an embodiment of each of the above the sheet includes γ-austenite as a single phase microstructure.
In an embodiment of each of the above the sheet includes γ-austenite as a tri-phase microstructure.
In an embodiment of each of the above the composition includes M23(CN)6 and/or NbC.
In an embodiment of each of the above the composition is characterized as having a stacking fault energy (SFE) of between −0.4 and −2.1 mJ/m2.
In an embodiment of each of the above the composition is characterized as having a difference in martensite start temperature (ΔMs) measuring less than 0, the difference being determined by subtracting α-martensite start temperature (Msα) from ε-martensite start temperature (Msε).
In an embodiment of each of the above the composition is characterized as having a difference in martensite start temperatures (ΔMs) measuring less than −92° C., the difference being determined by subtracting α-martensite start temperature (Msα) from ε-martensite start temperature (Mε).
In an embodiment of each of the above the composition is characterized as having an ε-martensite start temperature (Msε) measuring between 90° C. and 111° C.
In an embodiment of each of the above the composition is characterized as having an α-martensite start temperature (Msα) measuring between 190° C., ±100° C., and 225° C., ±100° C.
In an embodiment of each of the above the composition includes both α-martensite and ε-martensite.
In an embodiment of each of the above the composition includes γ-austenite and by % volume at least 20% of α-martensite and at least 20% ε-martensite after rolling the as cast strip.
In an embodiment of each of the above the composition includes by % volume at least 20% γ-austenite and at least 50% α-martensite and at least 20% ε-martensite after the thin metal strip is cold rolled 20 to 30% from the hot rolled and coiled thickness followed by annealing at 600 to 650° C. for 20 hours.
In an embodiment of each of the above the composition includes approximately equal amounts of γ-austenite and ε-martensite.
In an embodiment of each of the above the composition is characterized as having a yield strength of substantially 200 to 350 MPa, an ultimate tensile strength of 1340 to 1410 MPa, a % elongation of substantially 43%, a strength factor (K) of 4310±350 MPa, and a strain hardening exponent (n) of 0.69±0.04.
In an embodiment of each of the above the composition is characterized as having a yield strength of 650 to 710 MPa, an ultimate tensile strength of 1350 to 1410 MPa, a elongation of 25 to 35, a strength factor (K) of 3325 to 3650 MPa, and a strain hardening exponent (n) of 0.40 to 0.55.
In an embodiment of each of the above the thin metal strip as-cast thickness is less than 2 mm.
In an embodiment of each of the above, where after forming the thin metal strip, the thin metal strip extends through a hot rolling mill prior to coiling and cooling, where as a result of hot rolling, the sheet is reduced by 20% to 40% from an as-cast thickness.
In an embodiment of each of the above, where after forming the thin metal strip, the thin metal strip extends through a cold rolling mill, where as a result of cold rolling, the sheet is reduced by 20% to 30% from the hot rolled thickness.
In an embodiment of each of the above, where after forming the thin metal strip, the thin metal strip as-cast thickness undergoes hot reduction and then cold reduction.
In an embodiment of each of the above the composition comprises, by weight, greater than 12% and up to 17.5% manganese.
In one specific embodiment, A TRIP steel thin metal strip comprising:
In an embodiment of each of the above the composition includes by weight up to 0.05% nitrogen.
In an embodiment of each of the above the composition includes by weight up to 0.1% niobium.
In an embodiment of each of the above the thin metal strip includes γ-austenite as a single phase microstructure.
In an embodiment of each of the above the thin metal strip includes γ-austenite as a tri-phase microstructure.
In an embodiment of each of the above the composition includes M23(CN)6 and/or NbC.
In an embodiment of each of the above the composition is characterized as having a stacking fault energy (SFE) of between −0.4 and −2.1 mJ/m2.
In an embodiment of each of the above the composition is characterized as having a difference in martensite start temperature (ΔMs) measuring less than 0, the difference being determined by subtracting α-martensite start temperature (Msα) from ε-martensite start temperature (Mε).
In an embodiment of each of the above the composition is characterized as having a difference in martensite start temperatures (ΔMs) measuring less than −92° C., the difference being determined by subtracting α-martensite start temperature (Msα) from ε-martensite start temperature (Mε).
In an embodiment of each of the above the composition is characterized as having an ε-martensite start temperature (Msε) measuring between 90° C. and 111° C.
In an embodiment of each of the above the composition is characterized as having an α-martensite start temperature (Msα) measuring between 190° C., ±100° C., and 225° C., ±100° C.
In an embodiment of each of the above the composition is characterized as including both α-martensite and ε-martensite.
In an embodiment of each of the above the composition includes γ-austenite and by % volume at least 20% of α-martensite and at least 20% ε-martensite after rolling the as cast strip.
In an embodiment of each of the above the composition includes by % volume at least 20% γ-austenite and at least 50% α-martensite and at least 20% ε-martensite after the thin metal strip is cold rolled 20 to 30% from the hot rolled and coiled thickness followed by annealing at 600 to 650° C. for 20 hours.
In an embodiment of each of the above the composition includes approximately equal amounts of γ-austenite and ε-martensite.
In an embodiment of each of the above the composition is characterized as having a yield strength of substantially 200 to 350 MPa, an ultimate tensile strength of 1340 to 1410 MPa, a % elongation of substantially 43%, a strength factor (K) of 4310±350 MPa, and a strain hardening exponent (n) of 0.69±0.04.
In an embodiment of each of the above the composition is characterized as having a yield strength of 650 to 710 MPa, an ultimate tensile strength of 1350 to 1410 MPa, a elongation of 25 to 35, a strength factor (K) of 3325 to 3650 MPa, and a strain hardening exponent (n) of 0.40 to 0.55.
In an embodiment of each of the above the thin metal strip as-cast thickness is less than 2 mm.
In an embodiment of each of the above the composition comprises, by weight, greater than 12% and up to 17.5% manganese.
While it has been described with reference to certain embodiments, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted without departing from scope. In addition, many modifications may be made to adapt a particular situation or material to the teachings without departing from its scope. Therefore, it is intended that it not be limited to the particular embodiments disclosed, but that it will include all embodiments falling within the scope of the appended claims.
This application claims priority to, and the benefit of, U.S. Provisional Application No. 62/662,206 filed on Apr. 24, 2018 with the United States Patent Office, which is hereby incorporated by reference.
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