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## Creator

Dmytro Demirskyi, Ievgen Solodkyi, [Toshiyuki Nishimura](https://orcid.org/0000-0002-2185-2849), [Yoshio Sakka](https://orcid.org/0000-0001-8357-5843), [Oleg Vasylkiv](https://orcid.org/0000-0002-5041-6130)

## Rights

This is the peer reviewed version of the following article: Demirskyi D, Solodkyi I, Nishimura T, Sakka Y, Vasylkiv O. High-temperature strength and plastic deformation behavior of niobium diboride consolidated by spark plasma sintering. J Am Ceram Soc. 2017; 100: 5295–5305, which has been published in final form at https://doi.org/10.1111/jace.15048. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.[In Copyright](http://rightsstatements.org/vocab/InC/1.0/)

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[High-temperature strength and plastic deformation behavior of niobium diboride consolidated by spark plasma sintering](https://mdr.nims.go.jp/datasets/379bf158-44b3-419f-bc79-b85c9d429621)

## Fulltext

For Peer Review &#32; &#32; &#32; &#32; &#32; &#32; High-temperature strength and plastic deformation  behavior of niobium diboride consolidated by spark plasma  sintering  &#32; &#32; Journal: Journal of the American Ceramic Society  Manuscript ID JACERS-39584.R2  Manuscript Type: Article  Date Submitted by the Author: 22-May-2017  Complete List of Authors: Demirskyi, Dmytro; Nanyang Technological University, Temasek  Laboratories  Solodkyi, Ievgen; National Institute for Materials Science (NIMS),   Nishimura, Toshiyuki; National Institute for Materials Science, Nano  Ceramics Center  Sakka, Yoshio; National Institute for Materials Science, Fine Particle  Processing  Vasylkiv, Oleg; National Institute for Materials Science, Research Center for  Functional Materials; Nanyang Technological University, Temasek  Laboratories  Keywords: ultra-high temperature ceramics, strength, spark plasma sintering  &#32; &#32; &#32; Journal of the American Ceramic Society Journal of the American Ceramic SocietyFor Peer Review † Author to whom correspondence should be addressed, dmytro.demirskyi@ntu.edu.sg  \* Member of American Ceramic Society  High-temperature strength and plastic deformation behavior of niobium  diboride consolidated by spark plasma sintering  Dmytro Demirskyi †(a), Ievgen Solodkyi (b), Toshiyuki Nishimura (c), Yoshio Sakka\* (b) and  Oleg Vasylkiv (b).  (a) Nanyang Technological University, 50 Nanyang Avenue, 639798 Singapore  (b) National Institute for Materials Science, 1-2-1 Sengen, Tsukuba, Ibaraki 305-0047, Japan   (c) National Institute for Materials Science, 1-1 Namiki, Tsukuba, Ibaraki, 305-0044, Japan  Corresponding Author - Dmytro Demirskyi, Nanyang Technological University, 50 Nanyang  Avenue, 639798 Singapore, phone: +65-93415641, dmytro.demirskyi@ntu.edu.sg.  &#32; Abstract  Bulk niobium diboride ceramics were consolidated by spark plasma sintering (SPS) at 1900 °C.  SPS resulted in dense specimens with a density of 98% of the theoretical density and a mean  grain size of 6 µm. During the SPS consolidation, the hexagonal boron nitride (h-BN) was  formed from B2O3 on the powder particle surface and residual adsorbed nitrogen in the raw  diboride powder. The room-temperature strength of these NbB2 bulks was 420 MPa. The flexural  strength of the NbB2 ceramics remained unchanged up to 1600 °C. At 1700 °C an increase in  strength to 450 MPa was observed, which was accompanied by the disappearance of the  secondary h-BN phase. Finally, at 1800 °C signs of plastic deformation were observed.  Fractographic analysis revealed a number of etching pits and steplike surfaces suggestive of  high-temperature deformation. The temperature dependence of the flexural strength of NbB2  bulks prepared by SPS was compared with data for monolithic TiB2, HfB2 and ZrB2. Our  analysis suggested that the thermal stresses accumulated during SPS consolidation may lead to  additional strengthening at elevated temperatures.  Page 1 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 2  &#32; Keywords: high-temperature strength; niobium diboride; spark plasma sintering.  1\. Introduction  The borides are a highly refractory class of ceramic materials characterized by extreme hardness,  high electrical conductivity, and a positive temperature coefficient of electrical resistance. All  borides have a metallic appearance, and some are better conductors of electricity than the parent  metals. The borides of most interest for high-temperature structural applications are the diborides  of chromium, hafnium, niobium, tantalum, titanium, vanadium, and zirconium \[1,2\].  Niobium diboride (NbB2) is an AlB2-type hexagonal compound, which possesses a high melting  point (\~3050 °C), high hardness (21 GPa), good high-temperature hardness and high electrical  conductivity \[3–5\]. NbB2 has potential use for structural applications; however, the previous  research mainly focused on its superconducting behavior \[6,7\]. A possible reason for the lack of  investigation of monolithic NbB2 is the relatively low melting temperature of niobium oxides  \[1,4\].  Nevertheless, composites of NbB2 exhibit some distinctive properties that are currently required  for the development of ultra-high-temperature ceramics (UHTCs) \[8\]. NbB2–CrB2 composites  exhibit high hardness and oxidation resistance \[9\]. In addition, B4C–NbB2 and SiC–NbB2  eutectic composites show high fracture toughness (up to 7 MPa·m 1/2 ) and hardness (25–30 GPa)  in the eutectic and hypereutectic regions \[10–12\]. SiC–NbB2 eutectic, in particular, has shown  exceptional stability at elevated temperatures with a flexural strength of 600 MPa sustained at  1900 °C.  Owing to the different production methods of NbB2 ranging from thin films \[13\] to dense  ceramic specimens prepared by hot-pressing \[14\] or spark plasma sintering (SPS) \[3,4\] some of  its mechanical properties have not been evaluated; to date, the flexural strength of this diboride  Page 2 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 3  &#32; has not been reported. This is a significant omission because NbB2-based ceramics have the  potential to be used at high temperatures, and it is important to know their behavior when  stressed at high temperatures conditions.  Hence, the present study focuses on the consolidation of bulk NbB2 ceramic using high- temperature SPS \[15–17\] at 1900 °C for 10 mins, and the flexural strength of NbB2 is evaluated  using three- and four-point methods. In addition, the high-temperature performance of NbB2 up  to 1800 °C is reported for the first time.  &#32; 2\. Materials and Methods  Commercially available NbB2 powder (LOT #APG7777, average powder particle size 1.0–2.4  µm, \<0.5 wt% C, \<0.5 wt% N, \<0.7 wt% O (according to the manufacturer specification), Wako  Pure Chemical Industries, Ltd., Osaka, Japan) was used in the present study. NbB2 was  homogenized by wet mixing in alcohol, followed by drying at about 100 °C. The resultant  powder was screened through 60- and 400-mesh screens.   The homogenized powder was loaded into a graphite die with an inner diameter of 60 mm and  subjected to SPS. The outer surface of the die was wrapped in 5-mm-thick graphite felt to  homogenize the temperature distribution and reduce heat loss by radiation. The mold system  containing the powder mixture was placed in an SPS furnace (HP D125, FCT, Germany).  Initially, a pressure of 20 MPa was applied to ensure sufficient electrical contact between the  powder tablet and the graphite die, which was then increased to 80 MPa at 800 °C. A dwell time  of 1 min at 800 °C was used to increase the pressure. Then we increased the temperature at a rate  of 110 °C·min -1 &#32;up to a sintering temperature of 1900 °C with a dwell time of 10 min.  Subsequently, each specimen was gradually cooled to 600 °C at a rate of 100 °C·min -1 &#32;and then  Page 3 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 4  &#32; naturally to room temperature in the furnace. The sintering process was performed in argon gas  with a flow rate of 2 L·min -1 .  The sintered specimens were ground with diamond disks with a particle size of up to 0.5 µm.  Then, the density of the samples was measured by the Archimedes method using ethanol as a  medium in accordance with ASTM B 963–08.  The three- and four-point flexural strengths were determined using rectangular blocks (2×2.5×26  mm) cut from specimens with a diameter of 60 mm by electric discharge machining. Their lateral  surfaces were ground and polished using diamond pastes to a 0.5 µm finish. The flexural  strengths were measured by a Shimadzu AG-X plus (Shimadzu, Kyoto, Japan) mechanical  strength testing equipment. In the case of three-point bending supports with a span of 16 mm  were used. The four-point flexural strength was evaluated using supports with spans of 20/10  mm. Measurements were performed using with a loading speed of 0.5 mm·min -1 . Eight to  fourteen samples were tested at each temperature, and the standard deviation was taken as the  measurement accuracy.   Before the flexural strength tests at elevated temperatures, we used the reference bars made from  the material with known flexural strength behavior – the commercially-available boron carbide  (Bocadur, CeramTec GmbH, Germany). For the high-temperature flexural strength tests, the  following heating schedule was used: from room temperature to 200 °С in 10 min and from  200 °С to the testing temperature at a rate of 18 °С·min -1 . A dwell time of 5 min was employed  before the flexural test at the testing temperature. For the tests above 1600 °С, specimens were  gradually cooled and heated up to the test temperature with rate of 12 °С·min -1 . During these  heating and cooling procedures the specimen was kept 20 mm bellow the hot-zone used for the  Page 4 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 5  &#32; tests. For the tests conducted bellow 1600 °С the specimen was lowered in 5 minutes for  exchange without any dwell at the temperature of the test.  After testing at temperature bellow or equal to 1600 °С, cooling from the testing temperature to  room temperature was performed at a rate of 20 °С·min -1 . We evaluated the elastic modulus (Ef)  from the linear portion of the load–displacement curve using the procedure described in ASTM  E111–04. Microstructural observations and analyses were carried out on the fractured surfaces  using scanning electron microscopy (SEM, SU 8000; Hitachi, Tokyo, Japan). EDX analysis was  performed using Miniscope TM-3000 (Hitachi, Tokyo, Japan) in backscattered electrons (BSE).  X-ray diffraction (XRD) analysis (Rigaku RINT 2500 HLR, Japan) was performed on fractured  specimens after the high-temperature flexural tests, in order to identify the crystalline phases  using Cu Kα radiation.  &#32; 3\. Results  The density measurements suggested that the density of consolidated ceramic specimens was  over 98% of the theoretical density (TD). The mean grain size of the NbB2 grains was evaluated  to be 6.2±1.3 µm.  Figure 1 shows loading curves for NbB2 ceramics recorded during the four-point flexural  strength tests at different temperatures. No change in the fracture behavior between room  temperature and 800 or 1200 °C was observed in the tests; hence, a curve for the room- temperature test is not presented in Fig. 1. For the tests performed at 1600 °C, a change in the  slope of the curve was observed, indicating a change in the elastic modulus during testing (Table  1\).  Page 5 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 6  &#32; Fractography analysis of the specimen after the flexural strength tests suggested that breakage  mainly occurred in an intergranular manner (Fig. 2). Some white coin-shaped disks with a  diameter of 1–3 µm and a thickness of 100–200 nm were observed for all specimens tested  below 1700 °C. EDX and XRD analyses (Figs. 3 and 4) suggests that this phase is h-BN.  Hexagonal boron nitride (or α-BN) is generally formed in the high-temperature SPS of boron  carbide ceramics \[17–19\] during consolidation in Ar and N2, and usually enhances the flexural  strength of B4C ceramics. In the case ZrB2-based composites \[20,21\] the h-BN was formed by  reaction between residual B2O3 surface and partial nitrogen pressure in the vacuum or hot press.   In the scope of the present study, the initial NbB2 powder was found to contain 2.4 to 2.7 wt.%  of nitrogen, significantly higher to that provided by the manufacturer (0.5 wt.%). Other possible  impurities such as C (0.35wt.%) and O (up to 0.09 wt.%) where within the specification provided  by the manufacturer. The total nitrogen, oxygen and carbon contents were analyzed using ON- 900 and CS-800 (Eltra GmbH, Haan, Germany).  Hence, the h-BN was formed by reaction between the residual B2O3 on the surface of the NbB2  particles and the nitrogen entrapped in the powder during the SPS consolidation. Furthermore, a  trial consolidation of a NbB2 specimen with diameter of 10 mm at 1800 °C under vacuum using  Dr. Sinter Model 1050 (Sumitomo Coal Mining Co. Ltd., Japan) was carried out. Specimen was  heated from a temperature of 700 °C using a heating rate of 110 °C·min -1  up to a sintering  temperature. After 10 min dwell specimen was gradual cooled to 700 °C at a rate of 100 °C·min - 1 . A pressure of 80 MPa was applied at 700 °C and was kept constant during heating, dwell and  cooling procedures. The facture surface of the specimen after consolidation revealed the  presence of the h-BN grains. This underlines that the h-BN grains form during the SPS  processing result from initial powder rather than consolidation conditions.  Page 6 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 7  &#32; When h-BN is located in the intergrain areas, it is known to affect the flexural strength \[17\] since  the pull-out of these grains results in additional energy required for fracture. The main difference  between the structures fractured at 25–1600 °C was a slight change in the color of the NbB2  grains due to thermal etching in argon \[22\]. Furthermore, facets originating from the action of  surface diffusion appeared at 1200 °C and were also present at higher temperatures.  After the flexural tests conducted at 1700 °C and 1800 °C, the h-BN secondary phase is no  longer present at the fractographs and hence does not play any role in the fracture of NbB2  ceramics. One may assume that the disappearance of h-BN grains at temperatures of 1700 °C and  above is related to the degradation observed for the hot-pressed boron nitride tiles. The latter  process is known to be initiated above 1500 °C in an inert atmosphere such as argon or nitrogen  \[23\] and is associated with the formation of boron oxide, which can be easily accelerated above a  certain level of oxygen contamination in the inert gas \[23,24\]. Although it has not been  confirmed, it may be presumed that the same holds true for the h-BN grains in the present study.  This is because a previous study on non-consolidated h-BN powder suggested that the thermal  stability of h-BN nanoplates under air-flow conditions is similar to that of bulk BN tiles \[25\].  Furthermore, the time required to cool down the specimen from 1700 °C (or 1800 °C) to 1575 °C  allows a window of opportunity to complete the degradation of the h-BN flakes on the fractured  surfaces that were exposed during the cooling step.   Nevertheless, in the temperature range for the flexural tests under discussion here, 1700 °C to  1800 °C, the contribution of grain pull-outs increases as the fracture becomes intergranular \[26\].  Some small rectangular stress pits were visible at these temperatures (and also at 1600 °C),  which indicate plastic deformation \[19\].  Page 7 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 8  &#32; Finally, at 1800 °C we observed some steps marked by black arrows in Fig. 2, which might be  due to the plastic deformation observed in Fig. 1 or to grooving as a consequence of surface  diffusion. Although plastic deformation appears to control the fracture at 1800 °C, the specimen  has an elastic end to the load–displacement curve starting at a stress of 373 MPa. This has some  nonlinear deviations, which in eutectic composites \[27\] suggests the formation of micro- and  macrocracks during fracture, which can be observed during the fracture of layered materials \[28\].  However, in the present study, this is an indication of fatigue-like creep-induced fracture, which  occurred during plastic deformation and was caused by some grains are being separated at  specific crystallographic orientation.  &#32; 4\. Discussion  4\.1 Analysis of high-temperature strength  Figure 5 summarizes the data on the flexural strength of monolithic diborides of the IV and V  transition groups reported to date \[22,29,30\]. Previous studies on the strength of the diborides of  the IV group suggest that a strength not exceeding 250 MPa may be considered as ‘normal’ (Fig.  5 (b)). Therefore, the strength of 420 MPa at 1600 °C can be attributed to a number of factors  including (i) a different electronic structure of NbB2 as a metal diboride of the V group \[31\], (ii)  a specific value of the grain size of the NbB2 ceramics and (iii) the consolidation method.   In the case of the niobium diboride, the hexagonal AlB2-type structure is built of hexagonal nets  of Nb and triangular nets of pure boron atoms. While a graphitic network of boron atoms is  sandwiched by the metal layers in bulk.   Because the crystal structure of NbB2 is layered, the physical properties are expected to be highly  anisotropic. However, mainly because of the inherent difficulty in growing single crystals of  Page 8 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 9  &#32; transition metal diborides, in general, due to their high melting points, almost nothing is known  how their physical properties vary with crystallographic directions (i.e., internal crystal  anisotropy).  Gillies and Lewis \[32\] conducted line broadening studies of TiB2, ZrB2 and NbB2 and  summarized that NbB2 was highly anisotropic 00l reflections (i.e, 002). It was underlined that  this behavior is characteristic of that observed in materials having layer structure, where bonding  is much weaker between 00l planes than in other crystal directions.  In contrast, Otani et al. \[33\] studied the high-temperature hardness of transition metal diborides  and concluded that identical level of hardness between the a- and c-planes for NbB2 and TaB2  single crystals, suggestive a rather small anisotropy. At the same time, ZrB2 crystals the c-plane  had 30% higher hardness than the a-plane, and thus it was suggested that ZrB2 grew normal to  the c-axis.  A study of HfB2 suggested that the (0001) surface will relax inwards during heating to 2000 °C  \[34\]. This indicates that crystal structures undergo a change at high temperature because of boron  desorption.  These findings indirectly suggest that AlB2-type crystals at elevated temperature experience the  intrinsic relaxation. To some extent, this process is governed by the electronic structure of the  diboride and the strength of the Me–Me, Me–B and B–B bonds \[31,35,36\].  The boron–boron bonds are affected by sp 2  combination of the orbits of valence electrons of  boron, while the metal–boron bond is a linear combination of spd atomic orbits. In general, the  B–B bonds may be considered as identical or all diborides, the different degree of brittleness  and, more crucially, the different thermal strength of diborides are probably mainly attributable  to the different strength of the Me–B bonds \[35,36\]. The metal–boron bonds depend on the  Page 9 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 10  &#32; degree of participation of the incomplete d shell in their formation, namely on the capacity of the  transition metal’s d shell to accept part of the valence elections of boron, forming spd hybrid  bonds. As noted in \[35\] by Samsonov et al. raising the temperature leads to the destruction of  electronic configurations and results in delocalization of the electrons and a reduction in strength.   In the analysis of NbC bulks in \[36\] Samsonov et al. underlined a noticeable localization of the  valence electrons at Nb–Nb bond, which reduces the effect due to the delocalization of electrons  from sp 3  configuration of carbon atoms.   Studies on the flexural strength of the layered ternary Nb4AlC3 and β-Ta4AlC3 phases by Hu et  al. \[37\] showed that strength of the Nb-based compound remains constant 311±57 MPa up to  1400 °C. In contrast, Ta-based compound showed a degradation of strength and elastic modulus  above 1000 °C. Thus a change in the Me–Me or Me–C bonds for the layered MAX compounds  may lead to the better performance at elevated temperatures probably by controlling the  temperature of elastic to plastic transformation.  At this point it is impossible to confirm that the process of relaxation of individual  crystallographic planes or peculiarities of the localization of the electrons for NbB2 have a direct  influence on its plasticity, and reliable data on bulk poly- and single crystals of different metal  diborides may provide additional insight.  Alternatively, the SPS as a consolidation method may be considered as a factor that affects  flexural strength. The effect of the gas atmosphere on the mechanical properties of covalent B4C  was analyzed in \[17–19\]. Recall that the formation of secondary h-BN phase is one of the few  phases that can be formed during SPS consolidation, particularly at temperatures higher than  1800 °C. Other phases such as metal carbides, boron carbide, or layered graphite phases can be  formed in situ during SPS \[38–40\]. These secondary phases will affect the flexural strength of  Page 10 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 11  &#32; specimens subjected to SPS to a certain extent, but also can be used as pinning phases to control  the grain size of consolidated ceramics. Furthermore, it is still unclear whether there is any effect  of the pulsed electric current on the mechanical properties bulks subjected to SPS. Another factor  that may affect the mechanical properties is the thermal gradient, which is one of the features of  the SPS process \[41,42\].  A recent study on ZrB2–SiC showed that the elevated-temperature strength behavior of these  ceramic composites can be manipulated by additional heat treatment of the specimens after hot- pressing at 1950 °C \[43\]. An increase in strength of 12% compared with that of unannealed  ZrB2–SiC specimens was obtained during testing in air. As noted in \[43\], this increase may be  due to formation of the secondary phases such as BN, as well as Zr-Fe-Co-Si which is formed by  the segregation of impurities, or it may be due to a change in dislocation density.  However, the previous study \[37\] did not suggest that such heat treatment will alter the elevated- temperature strength behavior for ceramics tested in inert atmospheres or whether the  temperature of annealing is correlated with the temperature of consolidation or with the  temperature of stress accumulation inside ceramic specimens.  &#32; 4\.2 Effect of additional annealing on the elevated-temperature flexural strength  Owing to the abnormal strength behavior of NbB2 bulks after SPS observed in Fig. 1, we  attempted to post anneal the specimens mainly to equilibrate the thermal stresses accumulated  during the SPS consolidation. This post annealing was conducted at 1300 °C using a high- temperature cell and a 24 GHz microwaves, as described in detail in \[44\]. Moderate heating and  cooling rates of 20 °C·min -1 &#32;were used during the microwave annealing, which was conducted in  argon gas. Forty NbB2 specimens were annealed, and the strength data for annealed specimens  Page 11 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 12  &#32; was averaged using eight specimens for each temperature. After annealing the specimens were  cleaned by ultra sound and subjected to polishing to a 0.5 µm finish using diamond abrasives.   We selected the temperature of 1300 °C because earlier reports \[45\] suggested that stresses  inside ZrB2–SiC composites are formed during cooling starting at 1300–1400 °C. An additional  annealing procedure is well known to enhance the mechanical performance of metals, metal  alloys, and ceramics prepared by different methods \[46–48\]. Samsonov and Koval’chenko  suggested \[42\] that an additional annealing procedure allows the structure gradient to be  equilibrated and the release of thermal stresses generated by the hot-pressing procedure.  Furthermore, Samsonov’s analysis in \[49\] indicated that such annealing can be performed with  heating and cooling rates of up to 200 °C·min -1 &#32;and that a dwell of 15–30 min can be utilized  when thermal stress relaxation is the primary target of the procedure. Moreover, annealing  performed with heating and cooling rate up to 20°C·min -1 &#32;can be used when the thermal stress  relaxation and the chemical homogenization are required \[48,49\]. Considering the similarity of  the SPS and HP methods, the additional annealing the specimens subjected to SPS may lead to  similar results.  One can observe a difference in the load–displacement curves obtained for the NbB2 bulks  annealed by microwave heating at 1300 °C for 30 min in Fig. 6. Firstly, the strength of annealed  composites was higher at room temperature and at 800 °C, but by no more than 13% (Table 2).  This was followed by a 10% decrease in strength at 1200 °C and 1600 °C. Taking into account  the possible effect of thermal stresses accumulated inside the ceramic after SPS, we propose that  the additional annealing resulted in stress release and that during reheating to the testing  temperatures of 1200 °C and 1600 °C, stress release does not occur, thus decreasing the strength  \[12\].  Page 12 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 13  &#32; The main difference in the strength behavior for the annealed specimens was between the  specimens tested at 1700 and 1800 °C. At 1700 °C, the strength was comparable to that  measured at 1600 °C, in contrast to the specimen after SPS, where an increase in strength was  observed. However, at 1800 °C we observed load–displacement curves that are typical for the  plastic fracture of ceramics, indicating that the specimens suffered from creep damage.  Structure analysis of the fractured specimens (Fig. 7) suggested similar fracture behavior to that  of the specimens after SPS. Surprisingly, some microcracks \[50\] were observed at room  temperature and also at elevated temperatures. Microcracking is frequently observed to occur in  two-phase ceramics and is associated with the mismatch between the temperature dependences  of the coefficient of thermal expansion (CTE); however, in the case of annealed specimens, such  stresses should in theory be minimized. Among the single-phase ceramics, microcracking has  been observed in HfB2, caused by thermal stresses formed during cooling due to the thermal  expansion anisotropy of HfB2 grains, which have a hexagonal crystal structure \[51\]. For TiB2,  spontaneous microcracking has been observed when the grain size exceeds 15 µm \[52\], the  appearance of microcracks during fracture at 1700 °C in our study is not yet fully understood, as  the additional annealing should have reduced the likelihood of microcrack formation. One must  also take into account the fact that microwave heating was utilized to anneal the specimens.  However, a positive electrical field effect on a fully dense specimen is generally anticipated as a  consequence of the inverted temperature gradient profile observed during microwave processing  \[53\]. Hence, it was thought that performing the thermal annealing using a conventional graphite  tube furnace and 20 °C·min -1 &#32;cooling and heating rate might provide additional information on  this subject. Such procedure was undertaken at 1300 °C for 30 min. Six specimens were thus  Page 13 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 14  &#32; annealed. Then, two of them where tested at 1600 °C and at 1700 °C, and a single specimen and  room temperature and at 1800 °C.  Figure 8 illustrates a typical fracture surface of the NbB2 bar tested by the four-point method at  (a) 1600 °C and (b,c) at 1700 °C. The microcracks were present in all inspected specimens,  therefore it most likely that the intrinsic microcracking similar to that in \[52\] is active for NbB2.  In terms of the flexural strength of conventionally annealed specimens, the measured strengths  were within those presented in Table 2 or Fig. 6, and did not exceeded 360 MPa at elevated  temperatures. Based on these results, it is thought that the duration and temperature of the  additional annealing should be optimized in future.  &#32; 4\.3 Fracture analysis of NbB2 ceramics after bending tests at 1800 °C  A noticeable difference for the structure of the specimens tested at 1800 °C was the presence of  fine subgrains in the grain-boundary area or at triple points. EDX measurements suggested that  these subgrains have an almost stoichiometric Nb to B atomic ratio for NbB2, indicating that they  are formed during fracture and are not a consequence of an oxidation process, which may occur  locally during flexural strength measurements \[29\].  &#32;Other features observed in Fig. 2 are intergranular fracture and steplike grooves. Kalish et al.  \[26\] reported that intergranular fracture was mainly observed for ZrB2 and HfB2 ceramics tested  at 1200 and 1400 °C. NbB2 bulks follow the same trend, because a fracture mechanism with  lower energy dominates at higher temperatures. Nevertheless, the previous studies on bulk  transition-metal diborides \[26,29,30\] did not contain fractographic data on ceramics tested at  1800 °C or above. Since these compounds are representatives of a single family and possess an  identical AlB2 crystal structure, it is likely that other diborides will undergo identical fracture to  Page 14 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 15  &#32; that presented in Figs. 2 and 7 (d). The steps that can be clearly seen for the specimens tested at  1800 °C should be formed as a consequence of the high-temperature deformation process,  grooves should be formed by the surface diffusion or fatigue-like fracture as a consequence of  the ongoing creep process. Recent studies on TiB2-based ceramics \[22,39\] illustrated that even at  1600 °C the formation of fine surface markings can be observed on the grain faces, while at  1800 °C the plasticity of titanium diboride was mainly associated with the appearance of  ‘softened’ grains with internal cavities or nonspherical pores (i.e., cavitated grains). Such grains  were also observed at 1400 and 1600 °C \[39\], but at 1800 °C their number increased  considerably. We suggest that the structures observed in the present study, namely, the subgrains  and the steps on the grain faces, and those \[22,39\] are formed in different stages of a complex  creep-induced high-temperature fracture process for transition-metals diborides; further in-depth  studies of the fracture process at temperatures of 1800 °C and above may provide data to  increase the understanding of this phenomenon.  Another important observation is that the additional annealing did not affect the grain size of the  NbB2 bulks or the distribution or amount of the secondary h-BN phase. Thus, the difference in  the temperature dependence may be explained by the release of thermal stresses during the  additional annealing. It is still unclear whether such a relatively rapid post-SPS procedure results  in full stress release. As can be seen from \[43\], a change in the annealing temperature can affect  the flexural strength, namely, the optimal temperature for post-SPS annealing may be different  from 1300 °C used in the present study.   Nevertheless, even the annealed NbB2 specimens show high flexural strength compared with  those of other bulk monolithic diborides of the IV transition-metal group (Fig. 3). The values at  Page 15 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 16  &#32; 1700 and 1800 °C also appear to be abnormally high compared with those of the IV group  diborides, and may explain the high strengths observed for the SiC–NbB2 system \[12\].   The two-stage loading-displacement curve (plastic–elastic) observed for the unannealed NbB2  specimens at 1800 °C requires additional consideration as it appeared to be different from the  typical plastic behavior observed for annealed specimens.  We discuss three issues associated with the above results. Firstly, it would be logically to assume  that such behavior is connected with the measurement error. The NbB2 specimen might reach a  critical level of plastic deformation and then fracture elastically at a local peak in the  compressive/tensile stress ratio. This hypothesis was resected owing to the following  observations: (i) this fracture behavior was observed in both the three-point and four-point  setups, and (ii) the macroscopical difference between the annealed and unannealed specimens  after tests at 1800 °C was in the curvature of the deformation. The latter appears to be logical as  unannealed specimens showed higher strain values at 1800 °C (compare Figs. 1 and 6).  Furthermore, according to \[54–56\], the measured strengths of ceramics at elevated temperatures  are dependent on the loading rate. Thus, further investigation under different loading rates might  provide additional information.  Secondly, in the case of ZrB2 ceramics, a strength of 220±18 MPa was observed at 1800 °C  \[29,30\]. The results of \[30\] were partly affected by the residual oxygen during the flexural  strength tests; in the present study we did not observe any niobium oxides by XRD after the  flexural strength tests. Some oxide formation was observed at selected fractured grains by EDX;  however, this is likely to be absorbed oxygen, as the amount of detected oxygen was usually  bellow 8–10 atomic percent (see, for instance, Fig. 4), and thus detected niobium oxide phases  cannot be attributed to known niobium oxide compounds. It is not yet possible to make a  Page 16 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 17  &#32; definitive conclusion on the effect of residual oxygen on the fracture behavior of zirconium  diboride, as investigated in \[29\], as only few fractographs were presented in \[30\]. Reference \[29\]  did not discuss any microstructures, which could be used to explain the observed strength vs  temperature behavior, but the authors claimed that the high-temperature flexural strength would  be increased by the use of raw powder with a lower impurity content.  Finally, a general conclusion can be made from \[30\] that ZrB2 specimens with a density of over  95% of the TD and a grain size of 6–11 µm had a slightly better performance than those with  other grain sizes. Dense ZrB2 with a grain size of 19.4±13.0 µm was reported in \[29\]. The data  for HfB2 presented in Fig. 5 (b) is for a specimen with a 15 µm grain size and a density of 97%  of the TD \[30\].   Therefore, the abnormal flexural behavior observed in the present study at elevated temperatures  can be considered to be a consequence of the specific grain size obtained for NbB2. Hence, to  fully understand the results observed in the present study, the fabrication and high-temperature  strength testing of diborides with different grain sizes are suggested as the next step in future  research.  &#32; 4\. Conclusions  Dense NbB2 ceramics with a specimen diameter of 60 mm were prepared by SPS. The NbB2  bulks had a density of over 98% of the theoretical density and a mean grain size of 6.2±1.3 µm.  The flexural strength of this ceramic was measured up to 1800 °C using three- and four-point  methods. The strength between room temperature and 1600 °C was 420 MPa and increased to  450 MPa and 480 MPa at 1700 and 1800 °C, respectively. This is abnormal behavior compared  with the bulk diborides of Ti, Zr, and Hf. A peculiar load-displacement curve with both plastic  Page 17 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 18  &#32; and elastic parts was obtained during the flexural strength test at 1800 °C. This behavior was  correlated with the presence of stress pits and cleavage steps, which indicates that plastic fracture  occurred during the flexural tests. Additional post-SPS annealing at 1300 °C resulted in a typical  plastic load-displacement curve at 1800 °C. The fine subgrains located at the grain boundaries  and the grooves on the grains that fractured by an intergranular mechanism suggest that annealed  specimens underwent plastic fracture 1800 °C. This indicates that the complex thermal stress  conditions during a SPS consolidation may lead to additional strengthening mechanisms that  require further exploration.  &#32; Acknowledgements  This study was partially financial supported by the Grant-in-Aid for Scientific Research B  (No.15H04163) from JSPS. The authors wish to express their appreciation to Dr. H. Kanai  (NIMS) for kindly providing access to the SEM equipment.   &#32; References  \[1\] G.V. Samsonov, I.M. Vinitsky, Refractory Compounds. Handbook, Metallurgiya, Moscow,  1976 \[in Russian\].  \[2\] W.G. Fahrenholtz, G.E. Hilmas, I.G. Talmy, and J.A. Zaykoski, “Refractory Diborides of  Zirconium and Hafnium,” J. Am. Ceram. Soc., 90 1347–1364 (2007).  \[3\] O. Balci, D. Agaogullari, F Muhaffel, M.L. Ovecoglu, H. Cimenogli, I. 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Vasylkiv, “Mechanical properties of SiC–NbB2 eutectic composites by in  situ spark plasma sintering,” Ceram. Int., 42  19372–19385 (2016).   Page 19 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 20  &#32; \[13\] S. Motojima, K. Sugiyama, Y. Takahashi, “Chemical vapour deposition of niobium diboride  (NbB2),” J. Cryst. Growth, 30 233–239 (1975).   \[14\] Y. Murata, B.R. Miccioli, “Inhibition of grain growth in niobium boride,” Am. Cer. Soc.  Bull., 50 182–184 (1971).  \[15\] D. Demirskyi, Y. Sakka, “High-temperature reaction consolidation of TaC–TiB2 ceramic  composites by spark-plasma sintering,” J. Eur. Ceram. Soc., 35 405–410 (2015).  \[16\] D. Demirskyi, Y. Sakka, O. 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Kalish, Research and development of refractory  oxidation-resistant diborides Part II, Volume IV: mechanical properties. OH: Air Force Materials  Laboratory, Air Force Systems Command: Wright Patterson Air Force Base, 1970 \[Technical  report AFML-TR-68-190, Part II, Volume IV\].  Page 21 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 22  &#32; \[31\] G.V.Samsonov, I.F. Prydko, L.F.Prydko, Configurational Model of Matter, Naukova  Dumka, Kiev, 1971 \[in Russian\].  \[32\] D.C. Gillies and D. Lewis, ''Bond Strength in Diborides of Some Group IV and V Metals,''  J. Less-Common Metals, 16 \[2\] 162–163 (1968).  \[33\] S. Otani, M.M. Korsukova, T. Mitsuhashi, “Floating zone growth and high-temperature  hardness of NbB2and TaB2 single crystals,” J. Cryst. Growth, 194 430–433 (1998).  \[34\] W. Hayami, R. Souda, T. Aizawa, T. Tanaka, “Structural analysis of the HfB2 (0001)  surface by impact-collision ion scattering spectroscopy,” Surf. Sci., 415 433–437 (1998).  \[35\] G.V. Samsonov, V.K. Kharchenko, L.I. Struk, “Static strength of refractory compounds at  high temperatures,” Sov. Powder Met. Metal Ceram., 7 206–209 (1968).  \[36\] G.V. Samsonov, “Strength and plasticity of refractory compounds,” Inorg. Mater. (USSR), 9  1680–1687 (1973).  &#32;\[37\] C. Hu, F. Li, L. He, M. Liu, J. Zhang, J. Wang, Y. Bao, J. Wang, Y. Zhou, “In Situ  Reaction Synthesis, Electrical and Thermal, and Mechanical Properties of Nb4AlC3,” J. Am.  Ceram. Soc., 91 2258–2264 (2008).  \[38\] J. Gonzalez–Julian, K. Jähnert, K. Speer, L. Liu, J. Räthel, M. Knapp, H. Ehrenberg, M.  Bram, O. Guillon, “Effect of Internal Current Flow During the Sintering of Zirconium Diboride  by Field Assisted Sintering Technology,” J. Am. Ceram. Soc., 99 35–42 (2016).  \[39\] D. Demirskyi, H. Borodianska, Y. Sakka, O. Vasylkiv, “Ultra-high elevated temperature  strength of TiB2-based ceramics consolidated by spark plasma sintering,” J. Eur. Ceram. Soc.,  37 393–397 (2017).  \[40\] D. Demirskyi, O. Vasylkiv, “Consolidation and grain growth of tantalum diboride during  spark plasma sintering,” Ceram. Int., 42 16396–16400 (2016).  Page 22 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 23  &#32; \[41\] G. Maizza, S. Grasso, Y. Sakka, T. Noda, O. Ohashi, “Relation between microstructure,  properties and spark plasma sintering (SPS) parameters of pure ultrafine WC powder,” Sci. Tech.  Adv. Mater., 8 644–654 (2007).  \[42\] S. Grasso, T. Saunders, H. Porwal, B. Milsom, A. Tudball, M. Reece, “Flash Spark Plasma  Sintering (FSPS) of α and β SiC,” J. Am. Ceram. Soc., 99 1534–1543 (2016).  \[43\] E.W. Neuman, G.E. Hilmas, W.G. Fahrenholtz, “Elevated Temperature Strength  Enhancement of ZrB2-30 vol% SiC Ceramics by Postsintering Thermal Annealing,” J. Am.  Ceram. Soc., 99 962–970 (2016).  \[44\] D. Demirskyi, O. Vasylkiv, Microstructure and mechanical properties of boron suboxide  ceramics prepared by pressureless microwave sintering, Ceram. Int., 42 14282–14286 (2016).  \[45\] J. Watts, G. Hilmas, W.G. Fahrenholtz, D. Brown, B. Clausen, “Measurement of thermal  residual stresses in ZrB2–SiC composites,” J. Eur. Ceram. Soc., 31 1811–1820 (2011).  \[46\] F.A. McClintock and A.S. Argon, Mechanical Behavior of Materials \[Russian translation\],  Metallurgiya, Moscow, 1970, pp. 224–227.  \[47\] D Sciti, S Guicciardi, A Bellosi, “Effect of annealing treatments on microstructure and  mechanical properties of liquid-phase-sintered silicon carbide,” J. Eur. Ceram. Soc., 21 621–632  (2001).  \[48\] G.V. Samsonov, M.S. Koval'chenko, Hot Pressing, Gostekhizdat Ukr. SSR, Kiev, 1962, pp.  93–94 \[in Russian\].  \[49\] G.V. Samsonov, “Some physical and chemical properties of transition metal compounds  with boron, carbon, nitrogen and silicon,” (Dr. Sci. Thesis), Moscow institute for non-ferrous  metals and gold (1956), pp. 179–183 \[in Russian\].  Page 23 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 24  &#32; \[50\] L.S. Sigl and H.J. Kleebe, “Microcracking in B4C-TiB2 Composites,” J. Am. Ceram. Soc.,  78 2374–2380 (1995).  \[51\] H.J. Brown-Shaklee, W.G. Fahrenholtz, G.E. Hilmas, “Densification Behavior and  Microstructure Evolution of Hot-Pressed HfB2,” J. Am. Ceram. Soc., 94 49–58 (2011).  \[52\] H.R. Baumgartner, R.A. Steiger, “Sintering and properties of titanium diboride made from  powder synthesized in a plasma-arc heater,” J. Am. Ceram. Soc., 67 207–212 (1984).  \[53\] J. Binner, J. Wang, B. Vaidhyanathan, N. Joomun, J. Kilner, G. Dimitrakis, T.E. Cross,  “Evidence for the Microwave Effect During the Annealing of Zinc Oxide,” J. Am. Ceram. Soc.,  90 2693–2697 (2007).  \[54\] E.W. Neuman, G.E. Hilmas, W.G. Fahrenholtz, “Mechanical behavior of zirconium  diboride–silicon carbide–boron carbide ceramics up to 2200 C,” J. Eur. Ceram. Soc., 35 463– 476 (2015).  \[55\] ASTM C1211-13, Standard test method for flexural strength of advanced ceramics at  elevated temperatures. West Conshohocken, PA: ASTM International, 2013.  \[56\] J.-X. Liu, G.-J. Zhang, F.-F. Xu, W.-W. Wu, H.-T. Liu, Y. Sakka, T. Nishimura, T.S.  Suzuki, D.-W. Ni, J. Zou, “Densification, microstructure evolution and mechanical properties of  WC doped HfB2–SiC ceramics,” J. Eur. Ceram. Soc., 35 2707–2714 (2015).  &#32; Page 24 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 25  &#32; Tables  Table 1 Elevated-temperature mechanical properties of the NbB2 ceramics  Temperature, °C Crosshead  rate,  mm·min -1 &#32; Number of  specimens  tested  (3P/4P)  Flexural strength, MPa Elastic  modulus,  Ef, GPa  &#32;3P 4P  RT 0.5 14/12 414±17 418±14 542±13  800 0.5 8/8 416±14 420±15 538±10  1200 0.5 8/14 413±16 417±12 534±14  1600 0.5 10/9 415±14 422±17 343±23  1700 0.5 12/9 455±9 471±7 334±17  1800 0.5 8/9 472±5 481±32 -  &#32; &#32; Table 2 Flexural strength of the annealed NbB2 ceramics at elevated temperatures  Temperature, °C Crosshead rate,  mm·min -1 &#32; Four-point flexural  strength, MPaǂ  Change in flexural strength,  σsps / σann, a.u.  RT 0.5 465±21 0.89  800 0.5 481±17 0.87  1200 0.5 381±15 1.09  1600 0.5 367±16 1.14  1700 0.5 366±19 1.28  1800 0.5 351±20 1.37  ǂ – flexural strength was averaged by measuring eight bars at each temperature  &#32; Page 25 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 26  &#32; Figure captions  Figure 1. Typical loading diagrams of NbB2 ceramics tested at different temperatures by four- point flexural testing. The room-temperature strength test data is not shown since it overlaps with  the curves obtained at 800 and 1200 °C. Numbers indicate measured stresses at different points  of the loading curve for the specimen tested at 1800 °C.  Figure 2. Microstructures of fractured surfaces of NbB2 ceramics after flexural strength testing  at different testing temperatures (× 5000). The black arrows in the sample tested at 1800 °C  indicate the location of steps associated with high-temperature surface diffusion and may  correspond to the cracking that occurred, as can be seen from the final part of the loading curve  presented in Fig. 1.  Figure 3. XRD pattern of the NbB2 specimen after flexural strength test at 1200 °C. Inset shows  a dashed area where a peak that corresponds to (002) plane of the h-BN (#34-0421) can be  observed. All other peaks were identified as niobium diboride according to the card #35-0742.  Figure 4.  EDX analysis of the fractured surface of the NbB2 specimen after flexural strength  tests at 1200 °C. X-ray mapping of the N Kα in red indicates that BN phase in mainly located in  the intergrain areas.   Figure 5. The high-temperature flexural strength of transition metal diborides. (a) shows  temperature dependence of strength for NbB2 ceramic consolidated by SPS. (b) provides data on  the high-temperature flexural behavior of other diborides in Argon and Air \[22,29,30\]. The  dashed for ZrB2 ceramics indicate the general tendencies observed in previous studies \[29,30\].  Closed symbols indicate that the strength was measured using a four-point setup and the open  symbols show the results of three-point flexural strength tests.  Page 26 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review 27  &#32; Figure 6. Typical loading diagrams of the NbB2 ceramics subjected to post-SPS annealing at  1300 °C tested at elevated temperatures by four-point flexural testing. Data for the room  temperature and 1200 °C tests is not shown for clarity.  Figure 7. Microstructures of fractured surfaces of NbB2 ceramic specimens subjected to post- SPS microwave annealing after flexural strength test at different testing temperatures: (a) room  temperature, (b) 1600 °C, (c) 1700 °C, and (d) 1800 °C. Arrows indicate locations where  microcracking occurred during fracture. Note that a different magnification was used in (c) to  show the microcracks.  Figure 8. Microstructures of fractured surfaces of NbB2 ceramic specimens after flexural  strength test at (a) 1600 °C and (b,c) 1700 °C. These specimens were subjected to the  conventional heating during post-SPS annealing procedure. Arrows indicate locations where  microcracking occurred during fracture.   &#32; Page 27 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; Figure 1. Typical loading diagrams of NbB2 ceramics tested at different temperatures by four-point flexural  testing. The room-temperature strength test data is not shown since it overlaps with the curves obtained at  800 and 1200 °C. Numbers indicate measured stresses at different points of the loading curve for the  specimen tested at 1800 °C.     83x84mm (300 x 300 DPI)   &#32; &#32; Page 28 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; Figure 2. Microstructures of fractured surfaces of NbB2 ceramics after flexural strength testing at different  testing temperatures (× 5000). The black arrows in the sample tested at 1800 °C indicate the location of  steps associated with high-temperature surface diffusion and may correspond to the cracking that occurred,  as can be seen from the final part of the loading curve presented in Fig. 1.   &#32; 255x289mm (300 x 300 DPI)   &#32; &#32; Page 29 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; Figure 3. XRD pattern of the NbB2 specimen after flexural strength test at 1200 °C. Inset shows a dashed  area where a peak that corresponds to (002) plane of the h-BN (#34-0421) can be observed. All other  peaks were identified as niobium diboride according to the card #35-0742.     109x87mm (300 x 300 DPI)   &#32; &#32; Page 30 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; Figure 4.  EDX analysis of the fractured surface of the NbB2 specimen after flexural strength tests at 1200  °C. X-ray mapping of the N Kα in red indicates that BN phase in mainly located in the intergrain areas.   &#32; 245x101mm (150 x 150 DPI)   &#32; &#32; Page 31 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; Figure 5. The high-temperature flexural strength of transition metal diborides. (a) shows temperature  dependence of strength for NbB2 ceramic consolidated by SPS. (b) provides data on the high-temperature  flexural behavior of other diborides in Argon and Air \[22,29,30\]. The dashed for ZrB2 ceramics indicate the  general tendencies observed in previous studies \[29,30\]. Closed symbols indicate that the strength was  measured using a four-point setup and the open symbols show the results of three-point flexural strength  tests.     99x53mm (300 x 300 DPI)   &#32; &#32; Page 32 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; Figure 6. Typical loading diagrams of the NbB2 ceramics subjected to post-SPS annealing at 1300 °C tested  at elevated temperatures by four-point flexural testing. Data for the room temperature and 1200 °C tests is  not shown for clarity.   &#32; 83x84mm (300 x 300 DPI)   &#32; &#32; Page 33 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; Figure 7. Microstructures of fractured surfaces of NbB2 ceramic specimens subjected to post-SPS  microwave annealing after flexural strength test at different testing temperatures: (a) room temperature,  (b) 1600 °C, (c) 1700 °C, and (d) 1800 °C. Arrows indicate locations where microcracking occurred during  fracture. Note that a different magnification was used in (c) to show the microcracks.     514x192mm (300 x 300 DPI)   &#32; &#32; Page 34 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; Figure 8. Microstructures of fractured surfaces of NbB2 ceramic specimens after flexural strength test at (a)  1600 °C and (b,c) 1700 °C. These specimens were subjected to the conventional heating during post-SPS  annealing procedure. Arrows indicate locations where microcracking occurred during fracture.   &#32; 99x25mm (300 x 300 DPI)   &#32; &#32; Page 35 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; &#32; &#32; &#32; Page 36 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review &#32; &#32; &#32; &#32; &#32; 325x344mm (80 x 72 DPI)   &#32;   Page 37 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60For Peer Review Summary results  Element Weight % Weight % σ Atomic %  Boron 39.468 1.212 80.821  Nitrogen 1.656 0.771 2.617  Oxygen 2.211 0.278 3.060  Niobium 56.666 1.193 13.503    Page 38 of 38 Journal of the American Ceramic Society Journal of the American Ceramic Society 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60