1063-7834/03/4507- $24.00 © 2003 MAIK “Nauka/Interperiodica” 1267
Physics of the Solid State, Vol. 45, No. 7, 2003, pp. 1267–1271. Translated from Fizika Tverdogo Tela, Vol. 45, No. 7, 2003, pp. 1209–1212.
Original Russian Text Copyright © 2003 by Golovin, Ivolgin, Tyurin, Khonik.
1. INTRODUCTION
Although plastic deformation is always atomically
inhomogeneous (contrary to elastic deformation), the
physics of plasticity recognizes homogeneous and
inhomogeneous flow modes [1–7]. A conventional
boundary between these modes is mainly specified by
the test temperature T ; strain rate ; and history, size,
and state of the surface of a sample [2, 5, 8–14]. The
position of this boundary depends substantially on the
characteristics of the testing machine, in particular, its
stiffness, response time, and sensitivity to changes in
the deforming force or in the sample size. Traditional
equipment, such as an Instron testing machine, makes
it possible to record only relatively large jumps of mac-
roscopic deformation with low repetition frequency
appearing due to the collective behavior of a huge num-
ber of elementary carriers of plastic deformation, while
the other possible instabilities of a flow remain unde-
tected. As a result, the statistics of detected jumps are
scarce and not representative and the contribution from
jumps to the total stored deformation is strongly under-
estimated.
To study the dynamics and correlation of deforma-
tion jumps on a smaller spatial scale (in particular, on
the mesoscopic scale), it is necessary to substantially
increase the space–time resolution of the equipment
and to decrease the sample volume. A higher resolution
is also required to analyze the instabilities of a plastic
flow in the context of the theory of self-organization in
nonequilibrium dissipative media (to which plastically
deformed solids belong), since the number of recorded
jumps should increase under these conditions and cor-
relation relations between them will be more apparent.
In this work, we used depth-sensing testing to obtain
the dependence of the load P on the indentation depth h
(an analog of the σ = f(ε) diagram for uniaxial deforma-
tion) and the P(t) and h(t) time dependences for submi-
cron regions. The limiting resolutions of modern com-
ε ˙
mercial nanoindentometers are 0.1 nm for the indenta-
tion depth, several micronewtons for the load, and 10
–2
s
for the time, which are several orders-of-magnitude
higher than those of the standard testing machines. This
performance allows one to study fine and rapid jumps,
as well as to extend the range of strain rates toward
higher values of (since ≈ dh/hdt and h can be 1 μm
during depth-sensing testing) and to work on one sam-
ple. Apart from these advantages, the factors mentioned
above can serve to establish the boundaries of the size-
strain-rate invariance for stable and unstable flow
modes in nanoscale samples.
Pioneering studies [15–17] on the serrated deforma-
tion by nanoindentation were carried out several years
ago and dealt with an unstable flow in fcc metals and
polycrystalline aluminum–magnesium alloys that had
been previously well studied using the methods of mac-
rodeformation [18, 19]. Related information for amor-
phous alloys is limited, as far as we know, to papers [20,
21], in which multiple deformation nanojumps were
detected during local deformation of a palladium-based
bulk amorphous alloy by using nanoindentation.
Macroscopic measurements [4] show that, at mod-
erate strain rates (10
–5
≤ ≤ 10
–3
s
–1
) and temperatures
T < 400 K, a flow is localized, whereas at higher tem-
peratures the flow becomes uniform. The transition is
assumed to be due to the equalizing of the strain rates
and a directed structural relaxation [4, 5, 12, 13]. It is
obvious that, at room temperature, this transition is
characterized by a very low critical strain rate ,
which cannot be achieved under the conventional con-
ditions of active deformation. On the other hand,
Kimura and Masumoto [22] showed that, at ~ 0.1 s
–1
,
the reverse transition (from inhomogeneous to homoge-
neous flow) can proceed; the nature of this reverse tran-
sition was not discussed.
ε ˙ ε ˙
ε ˙
ε ˙
c
'
ε ˙
c
''
Serrated Deformation of a Pd
40
Cu
30
Ni
10
P
20
Bulk
Amorphous Alloy during Nanoindentation
Yu. I. Golovin*, V. I. Ivolgin*, A. I. Tyurin*, and V. A. Khonik**
* Derzhavin Tambov State University, Tambov, 392622 Russia
e-mail: golovin@tsu.tmb.ru
** Voronezh State Pedagogical University, ul. Lenina 86, Voronezh, 394611 Russia
Received November 1, 2002
Abstract—Depth-sensing (indentation) testing is used to study the characteristics of a serrated plastic flow in
a Pd
40
Cu
30
Ni
10
P
20
bulk amorphous alloy, and the boundaries between the regions of serrated and homogeneous
plastic deformation are determined. © 2003 MAIK “Nauka/Interperiodica”.
DEFECTS, DISLOCATIONS,
AND PHYSICS OF STRENGTH