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Journal of the American Ceramic Society—Murthy et al.
Vol. 89, No. 1
Table IV. Summary of the Indentation Data i.e., Average Indent Diagonal Length and Total Crack Length as well as the Fracture
Toughness Values, Computed using Models Proposed by Anstis et al.23 and Palmqvist,24 for the Investigated Materials
Material
Indent diagonal
Crack
Indentation toughness,
MPa ꢀ m1/2 (Anstis et al.)
Indentation toughness,
MPa ꢀ m1/2 (Palmqvist)
designation
(2a), mm
length (2c), m
l/a
TiB2
TiB2–10MoSi2
TiB2–20MoSi2
84.4
82.3
86.1
245.2
281.4
231.8
1.9
2.4
1.7
5.1
4.0
5.0
7.5
6.7
7.1
Another crack length parameter (l) is defined as l 5 cꢁa. TiB2, titanium boride.
where Dl is the lattice self-diffusion coefficient for the rate-lim-
iting diffusing species, Db is the boundary self-diffusion coeffi-
cient for the rate-limiting diffusing species, d is the boundary
thickness, K is the Boltzman constant, O is the vacancy volume,
x is the neck dimension, t is the time of sintering, T is the tem-
perature during sintering, g is the surface energy, and r is the
particle size of the powders.
results clearly indicate the formation of TiSi2. Additionally, the
weight loss measured after sintering can be correlated with the
formation of volatile compounds like B2O3(g) and MoO3(g),
which evaporate at a hot-pressing temperature of 17001C. The
vaporization of MoO3 is reported for oxidation of MoSi2.29
From the above discussion, it is quite likely that the densifi-
cation of TiB2 with a MoSi2 sinter-additive occurs via liquid-
phase sintering, involving the rearrangement of grains in the
presence of a wetting liquid phase (TiSi2).
While Eq. (3) is derived for the intermediate stage of sintering in
which the neck growth is controlled by grain-boundary diffusion,
Eq. (4) is related to the lattice diffusion-controlled neck growth
process occurring at the final stage of sintering.26 From Eqs. (3)
and (4), it is evident that the neck growth rate increases signifi-
cantly with little reduction in particle size. Thus, one can intui-
tively expect a large increase in the densification rate, in the present
case, with the use of finer TiB2 particles (average size B1 mm).
Comparing the data presented in Fig. 2 and Table II, it should
be clear that MoSi2, like other ceramic additives (Si3N4, AlN,
SiC), can be effectively used as a sinter-additive to densify TiB2-
based materials. In fact, the use of MoSi2 enables to achieve high
densification even at a lower hot press temperature of 17001C,
when compared with earlier literature results (see Table II). To
this end, it can be noted that 98% rth was obtained with TiB2–5
wt% AlN, hot pressed at 18001C by Li et al.5 Ho Park et al.14
achieved 99% rth using 2.5 wt% Si3N4 additives for TiB2 hot
pressed at 18001C for 1 h. Thus, comparing our experimental
results with literature reports, it can be said that high density
obtained in TiB2–10 wt% MoSi2 composites at 17001C, in the
present case, is a new and promising result.
The existence of the grain triple pocket phase (TiSi2) provides
a useful insight into the densification mechanism. As the melting
point of TiSi2 is 15001C, liquid TiSi2 presumably forms during
hot pressing (sintering temperature of 17001C). It is reported in
the literature that a surface layer of TiO2 and B2O3 exists on the
surface of TiB2 particles, and B2O3 vaporizes rapidly above
11271C.27 In our hot-pressing experiments, 4%–6% weight loss-
es are measured and this can be attributed to the evaporation of
volatile oxides like B2O3, MoO3.
(2) Mechanical Properties
A comparison of the mechanical properties of newly developed
TiB2 materials with the earlier developed materials is presented
in Table II. In earlier experiments, various researchers have opt-
imized the amount of sinter-additives like AlN, Si3N4 during
sintering experiments and the results obtained with optimized
sinter-additives, for example 2.5% Si3N4, 5% AlN, are also
mentioned in Table II. For comparison, the material property
data obtained with 10% ceramic additive are also indicated in
Table II. Observing the data in Table II, it should be clear that
TiB2 materials with a combination of high hardness (25 GPa or
more) and modest fracture toughness (B5 MPa ꢀ m1/2) could be
achieved with the use of various non-metallic sinter-additive.
When compared with TiB2 sintered with 5% or 10% AlN sinter-
additives, TiB2–MoSi2 exhibits higher hardness. The indentation
toughness, measured with our materials, however remains mod-
est. Importantly, one can notice that the maximum hardness
achievable in TiB2-based materials densified using a non-metal-
lic sinter-additive is limited to around 7 MPa ꢀ m1/2 (TiB2–5%
AlN). Also, the combination of hardness and toughness ob-
tained with the newly developed materials with a MoSi2 sinter-
additive is comparable with the earlier developed TiB2–2.5%
Si3N4 materials. However, when compared with TiB2–2.5%
Si3N4 ceramic, our materials are densified at a lower hot press
temperature at 17001C.
The indentation-induced radial crack patterns emanating
from the Vickers indentations are shown in Fig. 6. In both
monolith as well as TiB2–10% MoSi2 composites, sharp and
perfect indentations are visible, and the observation of smaller
Vickers indents conforms well to the measured high hardness
(Fig. 6(a)). The wider residual crack opening of the Vickers in-
dentation induced cracks in case of the TiB2–10% MoSi2 com-
posite implicates a lower fracture toughness (Fig. 6(b)). Figure
6(c) provides the evidence of the deflection of indentation-in-
duced crack by ceramic particulates. No indication of crack
bridging is observed in our materials. This confirms that the
crack deflection is the only toughening mechanism.
The sintering mechanism involving the formation of TiSi2 can
be explained by the following reactions:
TiO2 þ MoSi2 ! TiSi2 þ MoO3ðgÞ
(5)
(6)
TiB2 þ 3O2ðgÞ þ MoSi2
! TiSi2 þ B2O3ðgÞ þ MoO3ðgÞ
Based on the data available for the free energy of formation of
different compounds,28 it was found that the overall free energy
change for reaction (5) was DG540 at high temperature (41773
K). Hence, the first reaction involving chemical interaction of
TiO2 and MoSi2 resulting in the formation of TiSi2 is not fea-
sible thermodynamically. However, the thermodynamic cal-
culations reveal the overall free energy change for the other
possible reaction, i.e., DG6o0 at and above 1773 K (15001C).
For example, the thermodynamic calculations indicate that DG6
at 1800 K is ꢁ183.018 Kcal.28 At T41800 K, DG6 becomes
more negative. Hence, reaction (6), leading to the formation of
TiSi2, is thermodynamically feasible. It can be noted here that
this reaction can take place even at a low oxygen partial pres-
sure, as relevant in our hot-pressing experiments. Also, XRD
As a concluding remark, it can be said that the present study
clearly indicates that MoSi2 can be potentially used as a ceramic
binder in densifying borides. While high hardness of borides can
be retained in the composites, the fracture toughness remains
moderate. Further research should be directed toward opt-
imizing the silicide content in the narrow window of 0–10
wt%, while obtaining high densification and hardness. Prelim-
inary electrical conductivity data reveal that the 20% silicide-
containing boride composite has better electrical conductivity
than monolithic boride. Recent thermal property measurements
using the laser flash technique revealed that the TiB2–20%
MoSi2 composite has a higher thermal conductivity of 64.8