Effects of Simulation-Guided Microwave Presintering Process on thePreparationandFinalPropertiesofPureCeramicRings:Lower Sintering Temperature and Higher Mechanical Properties

In order to improve the performance and endurance of steel rings used for twisting and winding yarns in the textile industry, a more wear-resistant ceramic version is studied and examined by conducting multiple simulations combined with microwave sintering experiments of the ring preparation process, aiming to reduce manufacturing costs and improve efficiency. -e threedimensional (3D) electromagnetic field simulation software HFSS is used to simulate the electromagnetic field distribution in the microwave sintering cavity and to determine the electromagnetic region with the most uniform electromagnetic field to guide the microwave sintering experiments. -e 3Y-TZP ceramic rings are shaped by gel-casting. -e effect of presintering on the performance of ceramic rings is investigated by applying conventional sintering and microwave sintering methods. -e experimental results show that the simulation-guided microwave sintering process can resolve the deficiency of uneven microwave sintering at low temperatures. Comparing the final sintering temperatures andmechanical properties of the final ceramic-sintered rings obtained by microwave presintering to those obtained by conventional presintering, microwave presintered sample has a final temperature of 1400°C, which is 100°C lower than that of conventional presintering, which is 1500°C; its average grain size of 0.18 μm is dramatically smaller than that of conventional presintering, which is 0.24 μm, with about 80% of the grain sizes present in the range of 0.1-0.2 μm and a relative density of about 99%, as opposed to conventional presintering’s 70% falling between 0.2 and 0.3 μm and relative density of about 98%; the Vickers hardness and fracture toughness for microwave presintered sample reach 1550 kg·f·mm and 9.05MPam, respectively, which are both greater than 1431 kg·f·mm and 8.86MPam in the conventional samples.


Introduction
Steel rings are one of the essential components in the yarn twisting and winding process in spinning production and are consumed in large quantities every year. Traditional steel rings are not high-temperature-resistant, easily wear and tear, and have a short service life, which cannot meet the industrial patterns of the latest generation [1]. Ceramics are known to have outstanding advantages in terms of antiabrasion and providing more reliable high-temperatureresistance, so researchers have tried to improve the steel ring wear-resistance by delivering ceramic-coating and other related methods [2]; yet, the process of producing such rings is complicated and costly and hence cannot reach a proper cost-effective ratio. e 3Y-TZP ceramic material has the mechanical properties of high stability, high strength and toughness, and resistance to high temperature, corrosion, and abrasion [3][4][5]. e practice of replacing ceramic-coated steel rings with pure ceramic rings throughout the process of ring-spinning, where high-speed grinding continuously occurs, is a solid technique and an innovative breakthrough. e major limitation that restrains the pure ceramic rings from a large-scale application in the market is the high costs during their preparation process. If the preparation costs for the ceramic rings can be reduced, especially in the sintering process, the other steel rings will be superseded in an extensive range of yarn spinning industry.
Currently, conventional sintering is restricted by its natural impediments of uneven temperature and long heating time, whereas microwave sintering features a fast heating speed and more uniform heating and delivers consistent temperature fields [6][7][8]. Microwave sintering technology is broadly adopted in the preparation of other materials: BCTZ piezoelectric ceramics [9], BaTiO 3 ceramics [10], lithium-ion battery electrodes (Li 2 TiO 3 ceramics) [11], ZnO-based piezoresistive materials [12], Si 3 N 4 ceramics [13], Ni-TiC composites [14], Cu-MWCNT nanocomposites [15], graphite alkene-ceramic composites [16], BaTiO 3 -Ag high-energy capacitors [17], various composite materials and hardened alloy materials [18,19], high-performance heat-resistant molybdenum materials [20], and titanium alloy materials [21]. Nevertheless, while utilizing microwave sintering, there are circumstances where the sample fails to absorb microwaves uniformly at low temperatures, leading to the results of uneven heating and potential cracks on the final products. e most effective solution addressing this problem is to evenly distribute the microwave power on the sample during sintering, which emphasizes the uniformity of the microwave electromagnetic field on the sample in the sintering cavity. Since the temperature-dependent variation of the dielectric properties for some sample materials can influence their microwave-absorption energy and their electromagnetic field distribution, follow-ups beyond this study on the electromagnetic field distribution need to consider and modify such impact with research on temperature field simulation. To achieve this goal, this study applies the three-dimensional electromagnetic simulation technology to simulate the microwave electromagnetic fields and ascertain the most evenly distributed areas within the sintering cavity to guide the specific microwave sintering process for the most time-labor-efficient method. erefore, performing an electromagnetic simulation to locate the most effective sintering region is a critical procedure to avoid defects in the final products.
Casting the 3Y-TZP ceramic ring using ultrafine 3Y-TZP zirconia powder with consistent microstructure as the raw material, as an accurate powder selection, and as a well-organized gel-casting process will guarantee the requirements of ceramic rings, including shape size, particularly density consistency, to be satisfied and serves as the prerequisite to a successful upcoming microwave sintering. e key to meeting the performance criteria of the ceramic rings is to have the sintered samples composed with constant micron-size particles, and presintering is a nonnegligible step to ensure that this happens. Given that the cracking and deforming of the final product can be prevented by eliminating the 3% organic remains, which degrade the overall product qualities by generating excessive pores during evaporation on the ring samples, within the ceramic-ring samples, an effective presintering operation is expected before the final sintering process begins. Studies have shown that the temperature at which most organic substances can be eliminated is around 510°C [22]. In order to prevent the residual of organic substances, the presintering temperature of samples in this study is set to 600°C.
eoretically, microwave presintering is more likely to produce better-structured high-property ceramic rings compared to conventional presintering, but it is correct only when the ceramic ring samples are placed in the proper electromagnetic fields to avoid the problem of inconstant microwave absorption during the presintering procedure. To find such proper electromagnetic fields, performing a microwave presintering simulation is an outstanding method used in the real presintering scenario.
is study focuses on exploring the influences of the microwave presintering process on the final ceramic ring samples with electromagnetic field simulation. Modeling is based on the microwave sintering equipment in the fine ceramic lab; High Frequency Structure Simulator (HFSS) simulates the electromagnetic field distribution in the microwave sintering cavity to obtain the region with the most homogeneous distribution of electromagnetic fields; the result of this simulation is used as a guide to the microwave presintering and the entire sintering process for 3Y-TZP ceramic rings. Two groups of casted ceramic ring samples are set up: one is prepared for simulation-guided microwave presintering, and the other is for conventional presintering. After the pre-sintering processes are completed, both groups are moved to the identical microwave sintering environments and are sintered with the same method following equivalent heating curves; the stated experimental procedure is then repeated for over a hundred times. e compositions of both samples are assessed by Energy Dispersive Spectroscopy (EDS), and their microstructures are examined by Scanning Electron Microscopy (SEM) to determine an optimal presintering method and the final sintering temperature with analysis on relative densities, Vickers hardness, and fracture toughness at different sintering temperatures.

Experimental Procedure
In this study, acrylamide (AM), N,N′-methylenebisacrylamide (MBAm), and ammonium polymethacrylate (PMAA-NH4), as an organic monomer, a cross-linking agent, and a dispersant, respectively, were mixed according to the ratio shown in Table 1 to obtain a premix. e 3Y-TZP powder with the size of 100 nm was poured into the premix, stirred, and ball-milled to mix thoroughly, and ammonia solution was used to adjust the pH of the premix to 9. Ammonium persulfate (APS) as the initiator and the Tetramethylethylenediamine (TEMED) as the catalyst proportionally were added to the slurry and immediately cast into the ring mold to form a ring-shaped gel. One sample was cast into a round-shape model with a diameter of 15 mm and thickness of 3 mm, and another one was cast into a 40 × 5 × 6 mm 3 rectangular-shape model for the later measurement on Vickers hardness and fracture toughness, respectively. After heating the mold to about 70°C, the gel was transformed into a body with a fixed shape and then solidified and demolded to form ceramic blanks. e inner diameter of the upper bottom surface of the blanks was 45 mm, and the outer diameter was 55 mm; the inner diameter of the lower bottom surface was the same as the upper inner bottom surface, and the outer diameter was 6 cm; the overall thickness was 30 mm.
Samples were divided into two groups with twelve samples for each, with only one sample sintered in a single experiment; the experiment was repeated twelve times. Group A samples were presintered in a muffle furnace with a heating curve as shown in Figure 1. Group B samples were microwave-presintered following the guide of the electromagnetic field simulation experiment result with a heating curve as shown in Figure 1. Since the heating process in microwave sintering is holistic, a positive temperature gradient throughout both the inside and the outside of the sample is more efficient for the removal of the organic remains. In this way, defects in the samples can be largely avoided, and the quality of the final sintering process can be ensured.
e two presintered samples were naturally cooled to room temperature, and the final microwave sintering started for both at 1300°C, 1350°C, 1400°C, 1450°C, and 1500°C. Each sintering temperature corresponds to the heating rate shown in Figure 2. At this point in the sintering process, the sintering auxiliary material SiC could be properly added to the insulation material within the sintering cavity to ensure a higher and more uniform heating of the ceramic ring samples. Microwave sintering equipment was the V3000 microwave sintering furnace (Changsha Longtai Microwave ermal Co., Ltd.), with the microwave source operating frequency being 2.45 GHz and adjustable power from 0 to 3 kW continuously. Temperatures of the samples within the sintering cavity were measured with an infrared thermometer.
e electromagnetic field distribution in the microwave sintering cavity was simulated using the 3D electromagnetic field simulation software HFSS. e study uses a laboratory microwave sintering furnace V3000 from Changsha Longtai Microwave ermal Co., Ltd., as the model, with the dimensions of rectangular waveguides being 92 × 45 × 380 mm 3 . e diameter of the cylindrical resonant cavity is D � 500 mm, the height is h � 400 mm, and the thickness of the resonant cavity is 20 mm.
ere is a horn between the rectangular waveguide and the resonant cavity, with the small crosssectional size of the horn being 150 × 100 mm and the large cross-sectional size being 200 × 150 mm. As illustrated, the insulation consists of two layers: the outer layer made of mullite fiber has a radius of 80 mm, a height of 220 mm, and a thickness of 30 mm, while the inner layer made of alumina hollow spheres has an inner radius of 60 mm, a height of 180 mm, and a thickness of 5 mm.
Both insulation layers are placed on a disk-shaped stainless-steel-made platform with a radius of 180 mm, at about 80 mm from the bottom of the cavity. en, simulation and analysis of the electromagnetic field at different sample placement locations are carried out by HFSS software to find the optimal height to place the sintered samples in the sintering cavity. e composition of the samples was analyzed using an Orbis microbeam X-ray fluorescence spectrometer from EDAX Inc., and an FEI Nova NanoSEM400 field emission scanning electron microscope (SEM) was designed to observe the internal structure; the particle size distribution was calculated using the Nano Measurer 1.2 software, and the  Advances in Materials Science and Engineering density of the sample was measured by the drainage method using a ZMD-2 electron densitometer by Shanghai Fangrui Instrument Co., Ltd. e round-shaped and rectangularshaped samples prepared under the exact same experimental conditions to the ceramic ring samples were used to measure the Vickers hardness and the fracture toughness of the samples. Samples were cut and polished, using an HXD-1000 digital microhardness tester from Shanghai Taiming Optical Instrument Co., Ltd., to select the three positions to measure the Vickers hardness with a load of 1000 gf, and then the average hardness was obtained. e CTM2200S microcomputer servo-controlled electronic universal materials tester was used to measure fracture toughness of the samples with a single-sided notched beam method.

Establish Sintering Cavity and Sample Model.
e reallife dimensions of our laboratory microwave sintering oven V3000 are used to construct the model. e outer shell of the sintering cavity and the disk below the insulation layer are made of stainless steel, and the rectangular waveguide is made of brass. e materials for the inner and outer layers of insulation are set to be mullite fibers and aluminum oxide hollow spheres, respectively. In our experiments, the selfadaptive method is adopted to delineate grids, and the boundaries are configured to the ideal conductor boundary conditions. e port is set as a rectangular waveguide port and its material characteristics and cross sections are consistent with the rectangular waveguide. e excitation mode is the wave port excitation with 2.45 GHz before and after adding the scan frequency. Figure 3 is a schematic diagram of loading the samples and setting the axes. e samples are placed in the center of the disk in the sintering cavity, and the origin of the axis is arranged to be the center of the disc's upper surface for observation purposes.

Electric Field Distribution Simulation in Samples.
e electromagnetic field distributions of the loaded 3Y-TZP samples at different sintering positions are simulated by parametric scanning. All selected samples are placed horizontally, and the changes in the electromagnetic field distribution with the samples moving along the plane are observed and recorded. Using the coordinate axis shown in Figure 3 as a reference, the x-coordinate and y-coordinate values for the center point O of the ring are modified at the bottom of the ceramic ring, while the z-coordinate is fixed as 0.
e level of uniformity is measured with two values: the field uniformity ratio and the intensity-area ratio. For the electric field at a sample cross section, the field uniformity ratio refers to the ratio of the area of the region with the greatest uniformity to the area of the entire cross section in the distribution map. e intensity-area ratio is the ratio of the region with the greatest difference in field strength from the region of greatest uniformity to the area of the entire cross section. According to the line plot shown in Figure 4, the vertical  Figure 4, it is clear that the overall field uniformity reaches its maximum when the sample center is located at the coordinates (2, 2); at the same time, the intensity-area ratio is at its minimum, indicating the most uniform distribution of the electromagnetic field within the sample.
Next, the electromagnetic field distributions of the samples placed at different heights are studied. Taking the bottom of the insulation layer as the reference plane and fixing point O as (x � 2, y � 2), the coordinate position in the Zdirection is scanned to determine the ideal position for sintering. As shown in Figure 5, the field uniformity gradually decreases as the coordinates of the center are shifted from 0 cm to 3 cm along the z-axis. An increase in the intensity-area ratio suggests a diminishing uniformity of field distribution. Considering the dashed-line changes in field uniformity and intensity-area ratio, it is noticed that as the sample continues to move until the sample is at z � 9 cm, with the field uniformity increased to nearly 60% and the intensity-area ratio reaching a minimum value of 15%, the best field distribution uniformity is located. However, after 9 cm, the field uniformity reveals a decreasing trend, and the intensity gradient increases. If the height of the material is too high or too low, it will not be able to absorb microwaves steadily, and therefore the overall sintering state of the sample is at its best when the sample center is near 9 cm.
To further investigate the effect of height variation on field distribution, the range of height variation is reduced. e height of the samples is adjusted to vary between 8.3 and 10.1 cm, and the various steps are 0.3 cm each time. e obtained internal electric field distributions of samples from different dimensions are recorded in Figure 6, from which we can see that as the sample moves from 8.3 cm to 8.9 cm in the z-axis, the hot spots slowly disappear, and the electric field uniformity is gradually increasing. When the sample moves upward again, the nonuniformity reappears in the sample and gradually aggregates through the dispersed form, eventually forming new hot spots. As the height is increased to 10.1 cm, the number of hot spots rises from one to two, and the uniformity decreases again. As a result, the electromagnetic field is now unstable and the quality of the sintered samples at this height will not be very good in practice.
To summarize, the ceramic ring blanks in group B should be presintered by microwave at the coordinates (2, 2, 8.9), which is indicated on the axis shown in Figure 3, with a sintering temperature of 600°C. e same location should be chosen for the final microwave sintering process of the samples of both group A and group B.

Experimental Results and Discussion
From the pictures in Figures 7-10, samples in group A and group B have different grain sizes and uniformities at different microwave sintering temperatures. Observing the two-particle size distributions in Figures 8 and 10, as the sintering temperature increases, the peak of the curve increases and is distorted to move left and become narrower.
is implies that as the sintering temperature increases, the grain size becomes smaller and smaller, the number of grains distributed in the same area increases, and the distribution becomes more and more uniform. In Figures 7 and 8, the best microscopic appearance of the conventional presintered group A samples is achieved at 1500°C, where about 70% of the grains are distributed between 0.2 and 0.3 μm. In Figures 9 and 10, the microwave-presintered samples in group B have the smallest grain size and pore at 1400°C. At this time, about 80% of the grains are distributed between 0.1 and 0.2 μm. In Figure 9(d), when the temperature rises to 1450°C, the sample quality is inferior. erefore, in combination with the two pictures in Figures 7(d) and 9(c), we conclude that the sample treated by microwave presintering has smaller porosity and the grain size distribution is small and uniform.
From Figure 11, it can be seen that the average grain size of the two groups A and B gradually decreases with the increase of the sintering temperature. At 1500°C, the average grain size of samples in group A is at its smallest value: 0.240 μm. At 1400°C, the average grain size of samples in group B is at its smallest value: 0.180 μm. erefore, small grain size can be obtained at lower sintering temperatures for samples that have been treated by the microwave presintering process, due to the fact that, in the cementation stage, the removal of organic remains is done from the inside out, whereas, in the conventional sintering method, there is an induction process that produces defects during evaporation. is problem can be overcome by the microwave Field uniformity ratio Intensity-area ratio Advances in Materials Science and Engineering 5 presintering process because the microwave sintering process allows the internal structure of the samples to absorb microwave energy uniformly, which generates a positive temperature gradient that is more effective for eliminating organic remains [23,24]. Guided by the simulation results, the most uniform electromagnetic field distribution and the most ideal microwave absorption location are found. Taking advantage of microwave features, which are rapid heating, overall heating, uniform temperature field, low thermal stress, and high-energy efficiency, the goal of final sintered samples having smaller grain size and a more uniform distribution is achieved. Figure 12 shows the composition analysis of the microwave-sintered samples by EDX. e main components    It can be determined that the final sintering temperature of the samples in group A is at least 1500°C. For the samples in group B, after presintering by microwaves, the properties increase, while the temperature is changed from 1300°C to 1400°C, and there is no significant change in the properties of the samples after 1400°C. erefore, it can be concluded that the optimal sintering temperature for the samples in group B is 1400°C. In this case, the relative density of the samples is 99.67%, which is much higher than that of the samples in group A. Besides, the Vickers hardness is 1550 kg·f·mm −2 , and the fracture toughness is 9.05 MPa m 1/     [25]. By comparing the relative density, Vickers hardness, and fracture toughness data of two sets of samples in groups A and B, the ceramic rings treated by microwave presintering perform better in all of these features and have a 100°C lower final sintering temperature than samples treated by conventional presintering. e microwave-sintered samples have smaller grain size and more uniform size distribution and thus have better performance. Here, it is noted that similar results have been reported in TiC [14], Li 2 TiO 3 ceramic [27], Li 2 TiO 3 -Li 4 SiO 4 biphasic ceramic pebbles [28], and other metallic and ceramic materials [23,24].

Conclusions
In this paper, under the guidance of the simulation results, the cured 3Y-TZP ceramic rings are microwave-presintered to ensure the superior quality of the final samples. e best sample performance is achieved at a sintering temperature of 1400°C, with an average particle size of 0.180 μm and about 80% grain sizes distributed in the range of 0.1-0.2 μm; the relative density is about 99%, and the Vickers hardness and fracture toughness reach 1550 kg·f·mm −2 and 9.05 MPa·m 1/2 , respectively. e samples that were sintered under the conventional presintering procedure and went through final microwave sintering at the temperature of 1500°C have an average particle size of 0.240 μm, about 70% of the grain sizes distributed in the range of 0.2-0.3 μm, and the relative density of about 98%, and the Vickers hardness and toughness fracture reached 1431 kg·f·mm −2 and 8.86 MPa·m 1/2 , respectively.
As a conclusion, the presintering process has an essential impact on the microstructure and overall performance of the final sintered sample; simulation-guided microwave presintering allows samples to obtain better properties with a 100°C lower final sintering temperature than conventional presintering. Microwave-sintered ceramic rings have improved mechanical performance, which are promising to be a substitution in the actual production.
Data Availability e data that support the findings of this study are available from the corresponding author upon reasonable request.