Materials Science and Engineering A 527 (2010) 3595–3601
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Materials Science and Engineering A
journal homepage: www.elsevier.com/locate/msea
The role of residual stress in the tension and compression response of WC–Ni
A.D. Krawitz
a,∗
, E.F. Drake
b
, B. Clausen
c
a
University of Missouri, Columbia, MO 65211, USA
b
NOV Reed Hycalog, Conroe, TX 77303, USA
c
Los Alamos National Laboratory, NM 87545, USA
article info
Article history:
Received 18 January 2010
Received in revised form 12 February 2010
Accepted 15 February 2010
Keywords:
Neutron scattering
Strain measurement
Residual stresses
abstract
The interaction of uniaxial applied stress with the thermal residual stress state in a WC–10 wt.% Ni
cemented carbide composite was studied. A previously proposed model, based on results for uniaxial
compressive loading, explains the observed asymmetric relaxation of the pre-existing thermal residual
stress. This model predicts that the sense of the asymmetry would reverse in the case of tensile loading.
The main purpose of the present work was to test this prediction. The reversal of signs was observed.
The addition of tensile data has enabled the role of thermal residual stress on stress–strain response to
be further elucidated. More complex behavior is observed with respect to the response of the variance in
residual stresses, as measured by changes in diffraction peak breadths.
© 2010 Elsevier B.V. All rights reserved.
1. Introduction
Cemented carbide composites have high toughness for materi-
als of such high hardness, and this is the basis for their use in severe
service environments such as drilling hard rock [1,2]. They are par-
ticulate composites with high volume fractions f of small, angular
particulate carbides, most commonly tungsten carbide, WC. In the
present case f = 0.84, the particle size is about 1 m, and the hard-
ness is 89 HRA. Commercial grades most often contain cobalt (Co)
as the binder metal. They also possess stress–strain responses that
are continuously curved [3] and have very large thermal residual
stresses (trs) as a result of the liquid phase sintering process and the
large difference in coefficients of thermal expansion of the binder
metals and WC [4–7]. Prior work suggests that, in addition to the
materials and microstructures of these systems, the residual stress
state and its interaction with applied stresses may also play a role
in the unusually high toughness of these materials [8].
This study is concerned with the role of thermal residual stresses
in the mechanical response of this class of composite materials,
that is, the interaction of the pre-existing trs with applied stress.
The trs is, on average, tensile in the Ni and compressive in the WC,
as expected from the coefficients of thermal expansion (CTE) of
the two materials; see Table 1. The point-to-point stress states in
both phases are complex [4]. This is due to the fine scale of the
microstructure, in which the Ni binder phase surrounds the WC
particles, and the angularity of the WC. This leads to constraint of
∗
Corresponding author. Fax: +1 5738845090.
E-mail address: krawitza@missouri.edu (A.D. Krawitz).
the Ni as it tries to shrink more than the WC during cooling from
the sintering temperature, at which the Ni is liquid. The degree
of constraint is related to the WC particle size; it increases as the
WC particle size decreases. In a study of WC–20 vol.% Co, the WC
trs ranged from -755 MPa for 0.6 m WC particles to -383 MPa
for 5.1 m WC particles [5]. The counterbalancing Co stresses are
+1712 and +869 MPa for the 0.6 and 5.1 m WC, respectively. Thus,
the mean stresses double as the WC particle size decreases an order
of magnitude. The stress state has a high hydrostatic component
due to the constraint of the surrounding WC particles, which is
how the Ni (or Co) supports stresses an order of magnitude greater
than its flow stress. The trs values for the WC–10 wt.% Ni composite
studied here are about -400 and +2000 MPa for the WC and Ni,
respectively; see Table 1.
Studies of WC and Ni diffraction peak breadths support, and
provided the original insight for, the idea that the stresses vary
significantly from point to point in a WC particle or Ni binder
region. Peak breadth effects have been observed due to changes in
both temperature and applied load. For temperature, peak breadth
changes from 20 to 700 K were observed and found to be essentially
reversible [7]. Lowering the temperature increased both the mag-
nitude and variance of the trs. A finite element study has addressed
the issue of stress distribution and found that the range of stresses
in both the angular WC particles and the binder regions is large [4].
In fact, even though the average WC stress is compressive, there
are regions with tensile stress, at one end of the distribution, and
regions with very high magnitudes of compressive stress at the
other. The converse is true for the binder phase. Thus, the thermal
stresses in cemented carbide composites are high in magnitude and
are distributed over a wide range of values due to the WC particle
shape and the microstructure.
0921-5093/$ – see front matter © 2010 Elsevier B.V. All rights reserved.
doi:10.1016/j.msea.2010.02.046