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International Journal of Refractory Metals & Hard Materials 24 (2006) 202–209
www.elsevier.com/locate/ijrmhm
One step synthesis and densification of ultra-fine WCby high-frequency induction combustion
Hwan-Cheol Kim a, In-Jin Shon a,*, Jin-Kook Yoon b, Sang-Kwon Lee c, Z.A. Munir d
a Department of Advanced Materials Engineering, Research Center of Advanced Material Development, Engineering Research Institute,
Chonbuk National University, Chonbuk 560-756, South Koreab Metal Processing Research Center, Korea Institute of Science and Technology, P.O. Box 131, Cheongryang, Seoul 136-791, South Korea
c Eltek Co. 90-8, Namgung building, Yangjae-dong, Seocho-gu, Seoul 137-890, South Koread Facility for Advanced Combustion Synthesis, Department of Chemical Engineering and Materials Science, University of California,
Davis, CA 95616, USA
Received 23 February 2005; accepted 18 March 2005
Abstract
Dense WC with grain size of 0.43 lm was synthesized by high-frequency induction combustion synthesis from milled elemental
powders of W and C. The milled W powders had a grain size in the range 45–73 nm. Dense product (98.5%) could be obtained
within 2 min under a pressure of 60 MPa. Due to loss of carbon (by interaction with surface oxides), products made from stoichio-
metric powders (W:C = 1:1) contained the sub-carbide W2C. With excess carbon, products containing the WC phase only were
obtained. The effect of initial grain size (of W) and the W:C stoichiometry on the grain size of the product WC was investigated.
The grain size of WC increased with an increase in the amount of excess carbon. The maximum values for fracture toughness
and hardness obtained for the dense WC were 4.8 MPam1/2 and 2708 kg/mm2, respectively.
� 2005 Elsevier Ltd. All rights reserved.
Keywords: Ultra-fine WC; Dense hard materials; Combustion synthesis; Hardness; Fracture toughness
1. Introduction
Tungsten carbide–cobalt (WC–Co) hard materials
are widely used in tools for machining, cutting, drilling,
and other applications. Morphologically, they consist of
a high volume fraction of the hard hexagonal WC phase
embedded within a relatively soft and tough Co binderphase [1]. Such materials are typically densified by liquid
phase sintering with the mechanical properties of the
dense product depending on composition and micro-
structure (especially on the grain size of the carbide
phase [2]). Thus, the control of grain size of the carbide
phase during liquid phase sintering is an important goal.
0263-4368/$ - see front matter � 2005 Elsevier Ltd. All rights reserved.
doi:10.1016/j.ijrmhm.2005.04.004
* Corresponding author. Tel.: +82 63 270 2381; fax: +82 63 270 2386.
E-mail address: [email protected] (I.-J. Shon).
In general, decreasing the carbide grain size increases
such properties as hardness, wear resistance, and trans-
verse rupture strength of the cemented carbide compos-
ites. Furthermore, increasing the volume fraction of Co
increases the fracture toughness but at the expense of
hardness and wear resistance [3,4].
Cemented carbides are usually prepared by consoli-dating WC powders with the cobalt binder by conven-
tional sintering techniques at temperatures near the
melting point of cobalt. In view of its high-melting
point, WC is difficult to sinter without the addition of
Co or another low-melting binder. The binder facilitates
sintering by the presence of a liquid phase [5]. However,
the advantage of the addition of the binder (gained in
the sintering process) is counteracted by deleterious ef-fects on the cemented carbides. The binder phases are
inferior to the carbide phase in chemical characteristics.
H.-C. Kim et al. / International Journal of Refractory Metals & Hard Materials 24 (2006) 202–209 203
Corrosion and oxidation attacks occur in the binder
phase [6]. To overcome this, effort was made to develop
binderless cemented carbides, i.e., through the addition
of other ceramic phases to WC. Such carbides, exempli-
fied by WC–TiC–TaC, have been utilized in mechanical
seals and sliding parts because of their corrosion resis-tance [7]. TiC has been used as a carbide binder because
it forms WC–TiC solid solution phase [8]. However, in
such binderless cemented carbides, segregation of car-
bon at the grain boundaries between WC and TiC grains
has been observed, resulting in a decrease in the wear
resistance and toughness of materials [9,10].
In all of the reported studies on the preparation of
dense bulk WC, the process includes two steps: the syn-thesis of the carbide phase and the subsequent consoli-
dation with or without the metallic additive. Recently
it was shown that the method of high-frequency induc-
tion combustion could be successfully employed to syn-
thesize and densify in one step, and in a relatively short
time. The method has been used to synthesize a variety
of ceramics and composites, including WSi2 and MoSi2and their composites, and WC–Co hard materials [11–14]. These materials, which are generally characterized
by low adiabatic combustion temperatures, cannot be
synthesized directly by the self-propagating high-tem-
perature synthesis (SHS) method. And when formed
by the SHS method through thermal activation, WC,
for example, had low relative density and contained
W2C as a second phase [12,13].
In this paper we report on the simultaneous synthesisand properties of dense ultra-fine WC using elemental
reactants of W and C.
Al2O3 Block
GraphitePunch
Graphite Die
PowderMaterials(W+C)
Pressure Application
High-frequencyInduction Coil
Fig. 1. Schematic diagram of the high-frequency induction combus-
tion apparatus.
2. Experimental procedure
Powders of 99.9% pure tungsten (with average sizes
of 0.4 lm and 4.3 lm measured by FSSS, Korea Tung-sten Co., Teagu, South Korea) and 99.9% pure activated
(amorphous) carbon (<20 lm, Kojundo Chemical Co.
Osaka, Japan) were used as starting materials. The ini-
tial particle size of tungsten is according to the specifica-
tion by the vendor. The tungsten and carbon ratio was
varied from 1:1 to 1:2 for the case of 0.4 lm tungsten
and from 1:1 to 1:1.3 for the case of 4.3 lm tungsten
to investigate the effect of stoichiometry on the micro-structure and mechanical properties of the WC product.
Tungsten and carbon powder mixtures were first milled
in a high-energy ball mill, Pulverisette-5 planetary mill.
Tungsten carbide balls (5 mm in diameter) were used
in a sealed cylindrical steel vial under argon atmosphere.
The weight ratio of ball-to-powder was 30:1 and the
powders were milled for 10 h. Milling resulted in a sig-
nificant reduction of grain size. The grain size and theinternal stress are calculated by Strokes and Wilsol�s for-mula [15],
b ¼ bd þ be ¼ kk=ðd cos hÞ þ 4e tan h ð1Þwhere b is the full width at half-maximum (FWHM) of
the diffraction peak after instrument correction; bd andbe are FWHM caused by small grain size and internal
stress, respectively; K is constant as 0.9; k is wavelength
of the X-ray radiation; d and e are grain size and internal
stress, respectively; and h is the Bragg angle. b and bsfollow Cauchy form with the relationship: B0 = b + bs,where B0 and bs are FWHM of broadened Bragg peaks
and the standard sample�s Bragg peaks, respectively.
The average grain size measured by Stoke–Wilson equa-tion was about 45 nm and for the powder with an initial
size of 0.4 lm and 73 nm for the 4.3 lm tungsten. Thus
reference to grain size will make for milled powders, i.e.,
sizes of 45 and 73 nm.
The milled powders were placed in a graphite die
(outside diameter, 45 mm; inside diameter, 20 mm;
height, 40 mm) and then introduced into the high-
frequency induction system (Eltek Co., Seoul, SouthKorea). A schematic of the system is shown in Fig. 1.
The system was first evacuated and a uniaxial pressure
of 60 MPa was applied. An induced current (frequency
of about 50 kHz) was then activated and maintained un-
til densification was observed, indicating the occurrence
of the reaction and the concomitant shrinkage of the
sample. Sample shrinkage is measured by a linear gauge,
measuring the vertical displacement. The choice of thelevel of the induced current was based on preliminary
experiments aimed at determining the highest heating
rate (highest output of total power capacity). Tempera-
tures were measured by a pyrometer focused on the sur-
face of the graphite die. At the end of the process, the
induced current was turned off and the sample was al-
lowed to cool to room temperature. The entire process
of densification using this technique consists of four
204 H.-C. Kim et al. / International Journal of Refractory Metals & Hard Materials 24 (2006) 202–209
major control stages. These are chamber evacuation,
pressure application, power application, and cool down.
Typical parameters for the process are presented in Ta-
ble 1. The process was carried out under a vacuum of
4 · 10�2 Torr.
The relative density of the synthesized sample wasmeasured by the Archimedes method. Microstructural
information was obtained from product samples which
had been fractured or etched, using a Murakami�s re-
agent for 1–2 min at room temperature. Compositional
and microstructural analyses of the products were made
through X-ray diffraction (XRD) and scanning electron
microscopy (SEM) with energy dispersive spectroscopy
(EDS). Vickers hardness was measured by performingindentations at a load of 10 kg and a dwell time of
15 s. The carbide grain size dwc was obtained by the lin-
ear intercept method [16,17]. The carbon content of the
synthesized WC was determined analytically (Leco CS-
400, St. Joseph, MI).
Table 1
Processing parameters of high-frequency induction combustion syn-
thesis and densification of WC
Parameter Applied value
Vacuum level 40 mTorr
Applied pressure 60 MPa
Induction frequency 50 kHz
Total power capacity 15 kW
Output of total power 80% and 90%
Duration 2 min
Heating 1200 �C/min
Cooling rate 600 �C/min
0 50 100
500
600
700
800
900
1000
1100
1200
1300
Time (
Tem
pera
ture
(o C)
Fig. 2. Variations of temperature and shrinkage displacement with heating t
total power, W:C = 1:1).
3. Results and discussion
The variations of shrinkage displacement and tem-
perature of the graphite die surface with heating time
during the processing of tungsten and carbon systems
with ratio of 1:1 under 60 MPa pressure and 80% outputof total power capacity are shown in Fig. 2. The heating
rate of the die was about 1000 �C/min. As the induced
current was applied, the shrinkage displacement
increased gradually with temperature up to about
940 �C, and then abruptly increased at about 1050 �C.When the reactant mixture of W + C was heated under
60 MPa pressure to 940 �C, no reaction took place and
no significant shrinkage displacement was observed, asjudged by subsequent XRD and SEM analyses. Fig. 3
shows the SEM (secondary electron) image of (a) the
milled reactant powder, (b) a sample heated to 940 �C,and (c) a sample heated to 1250 �C. Fig. 3(a) and (b)
shows the presence of the reactants as separate phases.
X-ray diffraction results, shown in Fig. 4(a) and (b), re-
veal peaks pertaining to the reactant W only (the carbon
used was amorphous). However, when the temperaturewas raised to 1250 �C, the powders reacted producing
porous and non-faceted products. SEM (secondary elec-
tron) images of an etched surface of the samples heated
to 1250 �C under a pressure of 60 MPa is shown in Fig.
3(c). It was determined from an EDS analysis that an
incomplete reaction between the reactants had taken
place under these conditions. This was supported by
X-ray diffraction analyses which showed peaks of prod-uct phases, WC and W2C phase, Fig. 4(c).
When synthesis was carried out with a reactant stoi-
chiometric ratio of W:C = 1:1, the product contained
significant amounts of W2C due to loss of carbon by
150 200 250
sec)
3.0
2.5
2.0
1.5
1.0
0.5
0.0
-0.5
Shrin
kage
dis
plac
emen
t (m
m)
ime during synthesis and densification in WC (60 MPa, 80% output of
Fig. 3. Scanning electron microscope images of W + C system
(60 MPa, 80% output of total power, W:C = 1:1): (a) after milling,
(b) before combustion synthesis, (c) after combustion synthesis.
20 30 40 50 60 70 80
Inte
nsity
2 Theta
W+C - after milling W+C - before synthesis W+C - after synthesis
: W2C: WW: WCWC
a
b
c
(a)(b)(c)
Fig. 4. XRD patterns of W + C (60 MPa, 80% output of total power,
W:C = 1:1): (a) after milling, (b) before combustion synthesis, (c) after
combustion synthesis.
0 10 20 30 40 50 60 70
500
600
700
800
900
1000
1100
1200
1300
1400
Time (sec)
Tem
pera
ture
(o C)
3.0
2.5
2.0
1.5
1.0
0.5
0.0
-0.5
Shrin
kage
dis
plac
emen
t (m
m)
Fig. 5. Variations of temperature and shrinkage displacement with
heating time synthesis and densification of WC (60 MPa, 90% output
of total power, W:C = 1:1.3).
H.-C. Kim et al. / International Journal of Refractory Metals & Hard Materials 24 (2006) 202–209 205
interaction with the surface oxide on the tungsten parti-
cles. Because of the narrow compositional range of WC,
the loss of even small amounts of carbon contributes to
this problem. That the loss is related to the presence of
surface oxide has been indirectly shown by studies ontungsten with different particle size. Those with smaller
size experienced greater carbon loss [18]. Furthermore,
the relative density of the W:C = 1:1 samples was low,
about 75%. To compensate for the loss of carbon, sam-
ples were prepared with W:C ratios ranging from 1:1 to
1:2, and synthesized under 90% output of total power
capacity. Fig. 5 shows the variations of shrinkage dis-
placement and temperature with heating time during
the processing of W + 1.3C sample using the 45 nm
(milled) tungsten. In contrast to the case of the
W:C = 1:1 ratio samples (Fig. 2), the higher rate of
shrinkage begins at a much shorter time, a consequenceof the higher power.
Fig. 6 shows the XRD patterns of products produced
under 60 MPa pressure and 90% output of total power
capacity with various tungsten–carbon ratios. In the
case of W:C = 1:1.3 samples, only WC peaks are ob-
served, as can be seen from Fig. 6. With higher carbon
content (W:C > 1:1.5), extra carbon is observed in the
20 30 40 50 60 70 80
Rel
ativ
e In
tens
ity
2 Theta
: WC: W2C
1:2.0
1:1.5
1:1.3
1:1
Fig. 6. XRD patterns of WC after combustion synthesis with various
W:C ratios (W: 45 nm, 60 MPa, 90% output of total power).
20 30 40 50 60 70 80
1:1.5
1:1.3
1:1.2
1:1.1
1:1
Rel
ativ
e in
tens
ity
2 Theta
: WC: W2C
Fig. 8. XRD patterns of WC products after combustion synthesis with
various W:C ratios (W: 73 nm, 60 MPa, 90% output of total power).
206 H.-C. Kim et al. / International Journal of Refractory Metals & Hard Materials 24 (2006) 202–209
product. The fracture surface images of the WC prod-
ucts obtained with various W:C ratios are shown inFig. 7. In samples with W:C of 1:2.0, carbon is present
in the product, as can be seen in Fig. 7(d). Furthermore,
the W:C ratio seems to have an effect on the grain size of
the WC phase. As the ratio increased from 1:1.3 to 1:2.0,
the grain size of WC increased significantly, with the
W:C = 1:2 sample showing abnormal grain growth.
The average grain sizes of samples, determined by the
linear intercept method, were about 0.43, 1.8, and4.5 lm for the cases of W:C ratios of 1:1.3, 1:1.5, and
1:20, respectively. The abnormal grain growth in the
presence of carbon has been observed previously but re-
Fig. 7. Fracture surface images of WC products with various W:C ratios (a) 1
total power).
mains not well understood [18]. It has been proposed
that carbon lowers the activation energy for two-dimen-
sional nucleation on singular grain boundary surfaces of
WC [18].
Examining Fig. 7(a), the fracture surface of WC with
ratio of W:C = 1:1, shows porous regions. These appar-ent pores are the results of pull-outs of the brittle W2C
phase during fracture. When the carbon ratios of 1:1.5
and 1:2.0 were used, excess carbon was seen in the
boundaries, as confirmed by X-ray mapping analysis.
As indicated above, when a ratio of 1:1.3 was used,
:1, (b) 1:1.3, (c) 1:1.5, and (d) 1:2.0 (W: 45 nm, 60 MPa, 90% output of
0.9 1.0 1.1 1.2 1.3 1.4 1.5 2.03.5
4.0
4.5
5.0
5.5
6.0
6.5
7.0
7.5
8.0
Carbon contentin stoichiometric WC
Car
bon
cont
ents
(wt.%
)
Tungsten-Carbon ratio
0.4 micron tungsten 4.0 micron tungsten
Fig. 9. Carbon content of sintered WC from 45 and 73 nm powders
with various tungsten–carbon ratios.
H.-C. Kim et al. / International Journal of Refractory Metals & Hard Materials 24 (2006) 202–209 207
the product contained WC only, with a grain size of
about 0.43 lm. It is interesting to note that the induc-
tion power level had a significant effect on the density
of the product. The relative density of samples with
W:C = 1:1 increased from 75% to 98% as the power level
was increased from 80% to 90%. Thus an increase in thepower increases the relative density, regardless of carbon
content. The presence of W2C, thus, does not in itself
contribute to the porosity.
To investigate the effect of tungsten particle size on
synthesis, milled tungsten powders with a grain size of
73 nm were used. Fig. 8 shows the XRD patterns of
WC after synthesis with various W:C ratios under
60 MPa pressure and 90% output of total power capac-ity. When W:C ratios of 1:1 and 1:1.1 were used, the
phase W2C was present in the product. With an excess
carbon content of 20% (W:C = 1:1.2) the sub-carbide
phase was absent. This is in contrast to the case of the
finer grain size W (45 nm) where the sub-carbide phase
persisted until a higher W:C ratio (1:1.3) was used, an
observation that supports the role of the surface oxide
in the loss of carbon and is in agreement with previousreports [18]. Fig. 9 shows the results of carbon analyses
of products made with differing W:C ratios. In all cases,
the carbon content is higher for the cases where the lar-
ger particle size of W was used. The loss of carbon is sig-
nificant in both cases, being as high as about 40 mol.%
for the case of the 45 nm tungsten powder at W:C =
1:1. The analyses reveal that the W:C ratios which
resulted in only WC are relatively close to the stoichiom-etric value shown in the figure.
Fig. 10. Fracture surface images of WC products with various W:C ratios: (a
of total power).
The fracture surface images of the products with dif-
ferent W:C ratios for samples with 45 nm tungsten are
shown in Fig. 10. An increase of amount of excess car-
bon resulted in an increase in the grain size of the tung-sten carbide. The pores present in samples with
W:C = 1:1 are believed to be the consequence of W2C
pull-outs during fracturing, as indicated above. The
grain size of WC for the case where it is the only phase
in the product (i.e., W:C = 1:1.2) was determined by the
linear intercept method to be about 0.6 lm for the
samples with an initial grain size of 73 nm. Table 2
shows values of the density, sample volume, and volumechange at different stages in the synthesis and densification
) 1:1, (b) 1:1.1, (c) 1:1.2, and (d) 1:1.3 (W: 73 nm, 60 MPa, 90% output
Table 2
Density, volume, and volume change during high-frequency induction combustion synthesis of WC
Property Initial sample Before ignition Reactant (Theo.) Product
Exp. Theo.
Density (g/cm3) 8.38 10.00 13.88 15.48 15.70
Sample volume (cm3) 1.79 1.50 1.08 0.97 0.96
Pore volume (cm3) 0.71 0.42 0.00 0.01 0.00
Volume change (%) 0.00 16.20 39.66 45.81 46.37
Incremental volume change (%) 0.00 16.20 23.46 6.15 0.56
208 H.-C. Kim et al. / International Journal of Refractory Metals & Hard Materials 24 (2006) 202–209
of WC under 60 MPa pressure and 90% output of total
power capacity using 45 nm tungsten and a ratio of
1:1.3. The table shows that 16% of the total volume
shrinkage occurred prior to ignition and 46% occurred
during the synthesis and consolidation stage.
Vickers hardness measurements were made on pol-
ished sections of the WC product using a 10 kgf load
and a 15 s dwell time. The calculated hardness valuesof the materials using the 45 and 73 nm tungsten were
2708 and 2552 kg/mm2, respectively, for the ratios 1:1.3
for the 45 nm and 1:1.2 for the 73 nm sizes. These values
represent averages of eight measurements. Indentations
with large enough loads produced radial cracks emanat-
ing from the corners of the indent. The length of these
cracks permits an estimation of the fracture toughness
of the material by means of Anstis expression [19]:
KIC ¼ 0.016ðE=HÞ1=2P=C3=2 ð2Þwhere E is Young�s modulus, H the indentation hard-ness, P the indentation load, and C is the trace length
of the crack measured from the center of the indenta-
tion. The calculated fracture toughness values of the
WC using the 45 and 73 nm powders were 4.4 and
4.8 MPam1/2, respectively, for the ratios 1:1.3 for the
smaller W powder and 1:1.2 for the larger powder. As
in the case of hardness values, each of the toughness val-
ues is the average of eight measurements. It should berecalled that the grain sizes of the dense samples made
from the powders indicated above are 0.43 and
0.6 lm, respectively. With such similar values, the values
of fracture toughness as well as the hardness are rela-
tively similar. The former changing by <10% and the lat-
ter by about 6%.
4. Summary
Using high-frequency induction combustion, the
simultaneous synthesis and densification of binderless
WC hard materials was accomplished using milled ele-
mental powders of W and C. The process was achieved
within 2 min. When a stoichiometric W:C ratio (1:1) was
used, the product contained the sub-carbide, W2C. Thisis attributed to the loss of carbon through interaction
with surface oxides. With the use of excess carbon, prod-
ucts containing the WC phase only can be obtained. The
final product had a relative density of 98.5% and a grain
size of 0.43–0.6 lm, when synthesized under an applied
pressure of 60 MPa. The fracture toughness and hard-
ness values for the dense WC are 4.4–4.8 MPam1/2 and
2552–2708 kg/mm2, respectively.
Acknowledgement
This work was supported by KISTEP (Korean Insti-
tute of Science and Technology Evaluation and Plan-
ning) through a National R&D Project for Nano-
Science and Technology under the contract #
M10212430003-04M0343-00210 (2004). The support to
one of us (ZAM) by the US Army Research Office
(ARO) is acknowledged.
References
[1] Mohan K, Strutt PR. Observation of Co nanoparticle dispersions
in WC nanograins in WC–Co cermets consolidated from chem-
ically synthesized powders. NanoStruct Mater 1996;7:547–55.
[2] Kim BK, Ha GH, Lee DW. Sintering and microstructure of
nanophase WC/Co hard materials. J Mater Process Technol
1997;63:317–21.
[3] Shin SG. Experimental and simulation studies on grain growth in
TiC and WC-based cermets during liquid phase sintering. Met
Mater 2000;6:195–201.
[4] Chabretou V, Lavergne O, Missiaen JM, Allibert CH. Quantita-
tive evaluation of normal and abnormal grain growth of cemented
carbides during liquid phase sintering. Met Mater 1999;5:205–10.
[5] Hirata A, Zheng H, Yoshikawa M. Adhesion properties of CVD
diamond film on binder-less sintered tungsten carbide prepared by
the spark sintering process. Diamond Relat Mater
1998;7:1669–74.
[6] Suzuki H et al. Cemented carbide and sintered hard materi-
als. Tokyo: Maruzen; 1986. p. 262.
[7] Suzuki H et al. Cemented carbide and sintered hard materi-
als. Tokyo: Maruzen; 1986. p. 272.
[8] Imasato S, Tokumoto K, Kitada T, Sakaguchi S. Properties of
ultra-fine grain binderless cemented carbide �RCCFN�. Int J
Refract Met Hard Mater 1997;13:305–12.
[9] Engqvist H, Botton GA, Axen N, Hogmark S. A study of grain
boundaries in a binderless cemented carbide. Int J Refract Met
Hard Mater 1998;16:309–13.
[10] Engqvist H, Botton GA, Axen N, Hogmark S. Microstructure
and abrasive wear of binderless carbides. J Am Ceram Soc
2000;83:2491–6.
[11] Oh DY, Kim HC, Yoon JK, Shon IJ. Simultaneous synthesis and
consolidation process of ultra-fine WSi2–SiC and its mechanical
properties. J Alloy Compd 2005;386:270–5.
H.-C. Kim et al. / International Journal of Refractory Metals & Hard Materials 24 (2006) 202–209 209
[12] Kim HC, Oh DY, Guojian J, Shon IJ. Synthesis of WC and dense
WC-5 vol.%Co hard materials by high-frequency induction
heated combustion. Mater Sci Eng 2004;A368:10–7.
[13] Kim HC, Oh DY, Shon IJ. Synthesis of WC and dense
WC–xvol.%Co hard materials by high-frequency induction heated
combustion method. Int J Refract Met Hard Mater 2004;22:
41–9.
[14] Kim HC, Park CD, Jeong JW, Shon IJ. Synthesis of dense MoSi2by high-frequency induction heated combustion and its mechan-
ical properties. Met Mater Int 2003;9:173–8.
[15] Zhang FL, Wang CY, Zhu M. Nanostructured WC/Co composite
powder prepared by high energy ball milling. Scripta Mater
2003;49:1123–8.
[16] Jia K, Fischer TE, Gallois G. Microstructure, hardness, and
toughness of nanostructured and conventional WC–Co compos-
ites. NanoStruct Mater 1998;10:875–91.
[17] Han JH, Kim DY. Determination of three-dimensional grain size
distribution by linear intercept measurement. Acta Mater 1998;46:
2021–8.
[18] Cha SI, Hong SH. Microstructure of binderless tungsten carbides
sintered by spark plasma sintering process. Mater Sci Eng
2003;A356:381–9.
[19] Anstis GR, Chantikul P, Lawn BR, Marshall DB. A critical
evaluation of indentation techniques for measuring fracture
toughness: I, direct crack measurements. J Am Ceram Soc
1981;64:533–8.