Available online at www.sciencedirect.com
Journal of the European Ceramic Society 30 (2010) 1027–1034
Characterization of pop-in phenomena and indentation modu
polycrystalline ZrB
2
ceramic
Stefano Guicciardi
∗
, Cesare Melandri, Frederic Tullio Monteverde
ISTEC-CNR, Via Granarolo 64, I-48018 Faenza (RA), Italy
Received 13 May 2009; received in revised form 2 October 2009; accepted 20 October 2009
Available online 20 November 2009
Abstract
Low-load nanoindentation tests were carried out on a polycrystalline ZrB
2
-based ceramic. Pop-in phenomena were observed when inden
marks were placed in the interior of the ZrB
2
grains. Both pop-in loads and pop-in extents were statistically distributed with a mutu
correlation. The critical shear stresses at pop-in were in good agreement with the theoretical shear strength of ZrB
2
. The experimental pop-in
extents were also compared to a simplified model developed for homogeneous dislocation nucleation. The influence of the
indentation modulus was derived from the model of Delafargue and Ulm (2004)
50
and compared to the experimental results. Some results
definitely influenced by the polycrystalline structure of the investigated ceramic.
© 2009 Elsevier Ltd. All rights reserved.
Keywords: Mechanical properties; Plasticity; Nanoindentation; Borides
1. Introduction
Zirconium diboride (ZrB
2
) is a refractory ceramic belong-
ing to the Ultra High Temperature Ceramics (UHTC) family
currently under study foraerospace applications.
1,2
To the
authors’ knowledge only one paper has been published on
the nanoindentation behaviour of this material.
3
Nanoindenta-
tion tests are of paramount importance in order to characterize
the mechanical behaviour of a material on a very small scale
when only tiny portions of volume are stresses as it is the
case in applications involving wear or contact. During a series
of low-load nanoindentation tests on a ZrB
2
ceramic we have
recently observed that the load–displacement curves displayed
a sudden pop-in at the beginning of loading. This kind of phe-
nomenon has been noted in metals,
4–7
semi-conductors
8–10
and
ceramics.
11–16
Many studies have reported that before the pop-
in the unloading curve would superimpose to the loading curve
indicating that till that point no dissipative mechanisms, i.e. plas-
ticity,took place. After the pop-in, instead, hysteresis in the
loading–unloading cycle appeared. In an aluminium film, in situ
∗
Corresponding author. Tel.: +39 0546 699720; fax: +39 0546 46381.
E-mail address: stefano.guicciardi@istec.cnr.it (S. Guicciardi).
TEM analysis has clearly shown the appearance of disloc
in correspondence of the pop-in.
17
The most widely accepted
explanation of pop-in is homogeneous dislocation nuclea
18
This is also supported by atomistic simulations of indent
in perfect crystals.
19,20
There are however some experimen-
taland theoretical evidences that this event can be triggered
by heterogeneous dislocation nucleation when the mater
face presents surface steps or ledges.
21,22
Other experimental
results seem instead to indicate a stress-rate dependent
nisms. For a 4H SiC, a direct relationship was found betw
the stress-rate and the pop-in load
23,24
butthe opposite was
observed on specific crystallographic planes for sapphire.
25
However, experimental results have been presented in which
the load at pop-in was shown to be independent on the lo
ing rate in several metals and semi-conductors.
9,26
Finally,
non-dislocation driven explanations were recently propo
pop-in phenomena such as phase transformation in GaAs
27,28
and twinning in sapphire.
25,29
One of the main support to
the theory of homogeneous dislocation nucleation is that the
shearstress at which pop-in occurs is usually in very good
agreement with the theoretical shear strength of the indented
material. Though the form in which engineering materia
most often employed is polycrystalline, the main part of
ies on incipient plasticity was focused on monocrystals t
0955-2219/$ – see front matter © 2009 Elsevier Ltd. All rights reserved.
doi:10.1016/j.jeurceramsoc.2009.10.014