Materials Science and Engineering A261 (1999) 261 – 269
Residual thermal stresses in MoSi
2
–Mo
5
Si
3
in-situ composites
P. Peralta
a,
*, R. Dickerson
a
, J.R. Michael
b
, K.J. McClellan
a
, F. Chu
a
, T.E. Mitchell
a
a
Los Alamos National Laboratory, Mail Stop K765, Los Alamos, NM 87545, USA
b
Sandia National Laboratory, Mail Stop 1405, Albuquerque, NM 87185, USA
Abstract
Residual thermal stresses in MoSi
2
–Mo
5
Si
3
in-situ composites are calculated for a dilute concentration of particles of one phase
embedded in a matrix of the other, using the fields of anisotropic ellipsoidal inclusions. Additionally, the eutectic interfaces are
modeled as boundaries between two anisotropic half-spaces. The misorientation between MoSi
2
–Mo
5
Si
3
is obtained from the
literature for Mo
5
Si
3
precipitates in MoSi
2
and by electron diffraction in the scanning electron microscope (SEM) for the opposite
case. Tensile stresses of up to 3 GPa can develop after cooling from the eutectic temperature due to the thermal expansion
mismatch between the phases. Electron microscopy of arc-melted Si-rich Mo
5
Si
3
shows that stresses are relieved by intergranular
fracture in Mo
5
Si
3
and either dislocation plasticity or transgranular cracks in MoSi
2
, in a manner consistent with the calculations.
© 1999 Elsevier Science S.A. All rights reserved.
Keywords: Residual thermal stress; Eutectic interfaces; Dislocation plasticity; Molybdenum disilicide; In-situ composites
1. Introduction
Molybdenum disilicide (MoSi
2
) is a candidate mate-
rial for structural applications at high temperatures [1].
However, its creep resistance is a major issue due to
metal-like plasticity present above the brittle – ductile
transition temperature (BDTT) [1]. Mo
5
Si
3
has been
considered a good reinforcement to improve the creep
properties of MoSi
2
, due to its thermodynamic stability,
good creep strength at high temperatures and eutectic
reaction with MoSi
2
, from which in-situ composites can
be obtained [2,3]. Mason and coworkers [2,3] have
shown that directionally solidified MoSi
2
–Mo
5
Si
3
eu-
tectics have better creep properties than other MoSi
2
-
based composites. However, they reported the presence
of cracks in their samples after processing them from
the melt. These cracks are the likely result of residual
stresses developed during cooling due to thermal expan-
sion mismatch. Unusual cracking in MoSi
2
single crys-
tals has been attributed to Mo
5
Si
3
particles [4], and
intergranular cracking in polycrystalline Mo
5
Si
3
has
been connected to thermal stresses at grain boundaries
[5]. Therefore, residual thermal stresses are calculated
for a dilute concentration of particles of Mo
5
Si
3
in a
MoSi
2
matrix and vice versa, modeling the particles as
anisotropic ellipsoidal inclusions. Additionally, eutectic
interfaces are modeled as boundaries between two an-
isotropic half-spaces. Moreover, a Si-rich Mo
5
Si
3
alloy
was prepared to determine the microstructure and the
orientation relationship (OR) of MoSi
2
particles em-
bedded in Mo
5
Si
3
. Transmission electron microscopy
(TEM) and scanning electron microscopy (SEM) are
used to study the failure modes due to the stresses.
2. Modeling
2.1. Anisotropic ellipsoidal inclusions and eutectic
microstructure
The elastic fields of anisotropic ellipsoidal inclusions
were obtained by Asaro and Bamett [6], who showed
that there is a linear relationship between a stress free
transformation strain
ij
t
and the final strain
ij
c
in the
inclusion, i.e.:
ij
c
=K
ijkl
C
klmn
mn
t
(1)
* Corresponding author.
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