Strain-Dependent Plasticity Evolution of Window Glass
Dong-Hyun Lee, In-Chul Choi, Moo-Young Seok, Yakai Zhao, Jung-A Lee, and Jae-il Jang
†
Division of Materials Science and Engineering, Hanyang University, Seoul 133-791, South Korea
How the applied strain can affect the plasticity evolution of
window glass was systematically explored through a series of
nanoindentations with various sharp indenters. It was revealed
that, as the strain increases, the contribution of shear flow to
total plasticity becomes larger, whereas that of densification
gets smaller. The results are discussed in terms of the sequence
in which each mechanism plays and the detailed mechanism of
shear flow.
I. Introduction
C
ONVENTIONAL oxide glasses are brittle at ambient temper-
ature and fail in a catastrophic manner under tensile or
bending stresses. However, it has been reported that they can
show a considerable plasticity under a certain mechanical
environment since Taylor’s first report in 1949 that indenta-
tion with a sharp indenter lefts permanent impression on
the glass surface.
1
Due to the absence of crystalline defects
such as dislocations, the mechanism of the plastic deforma-
tion in oxide glasses should be different from that in crys-
talline ceramics. The possible mechanism found earliest was
densification, that is, a permanent volume contraction
under compressive stresses.
2
This is possible because amor-
phous materials have more open structure than chemically
equivalent crystals and the structure can be condensed into
a more close-packed arrangement by external loading.
3
The
densified region is known to be recovered by annealing
treatment.
4
The fact that apparent activation energy of the
recovery in the indented glass is close to that in hydrostati-
cally densified glass
5
suggests that the densification plays an
important role in the plastic deformation underneath a
indenter possibly due to the existence of indentation core
under hydrostatic pressure.
6
The extent of densification
varies with glass composition, especially concentration of
network modifiers such as Na
2
O or CaO
7,8
; glasses having
more modifiers exhibit smaller densification, because the
modifiers occupy the free space which can shrink by exter-
nal stress.
In 1970, Peter
7
argued that the permanent densification
cannot fully explain indentation behavior of oxide glasses;
for example, the presence of material pile-up around hard-
ness impression and the slip lines below the indentation indi-
cates that there is also some contribution of shear flow to the
indentation-induced plasticity.
7,9–11
Now, it is well accepted
that plastic deformation in oxide glasses is caused by both
densification and shear flow. Nevertheless, how the contribu-
tion of each mechanism can be affected by mechanical envi-
ronment is not yet fully understood. Especially, only limited
efforts have been made for analyzing the contribution of
shear flow.
A good first step for addressing this issue can be to ana-
lyze the influence of applied strain on the contribution of
each mechanism to the indentation-induced plasticity. With
continuum mechanics concept, the strains underneath a
sharp indenter are unique and independent of indentation
load or displacement due to the so-called geometrical self-
similarity of the sharp tip. A way to overcome this difficulty
in applying different strain is varying the sharpness of inden-
ter. Generally, sharper indenters with smaller indenter angles
induce larger strains in the material due to the larger volume
of displaced material.
12–15
The indenter sharpness depen-
dency of deformation mechanism in metallic materials has
been previously reported.
16,17
With this in mind, here we sys-
tematically explore how the applied strain affect the indenta-
tion-induced plasticity evolution of window glass (soda-lime
silicate glass) through a series of nanoindentation tests using
five different three-sided pyramidal indenters having a variety
of sharpness.
II. Experimental Procedure
Nanoindentation tests were performed on a commercial win-
dow glass using a Nanoindenter-XP (formerly MTS; now
Agilent, Oak Ridge, TN) with five different three-sided pyra-
midal indenters having a centerline-to-face angle w of 35.3°
(cube-corner indenter), 50°, 65.3° (Berkovich indenter), 75°,
and 85°. The sample was loaded to the maximum load, P
max
,
at a constant loading rate, dP/dt, of 10 mN/s. More than 30
tests were performed for each condition. To support the
analysis of the sharp indentations, nanoindentations with a
spherical tip (whose radius, R, was determined as 6.38 lm by
Hertzian contact analysis
18
) were additionally made at 50
and 75 mN.
The indented samples were annealed at 753 K (~0.9T
g
where T
g
is the glass transition temperature) for 2 h in an
electric furnace. Based on previous reports,
4,8
one may expect
that this annealing condition allows a nearly complete recov-
ery of the densified region, and only the shear flow contribu-
tion remains after the annealing. Before and after annealing,
hardness impression morphologies were imaged using both a
field-emission scanning electron microscopy (FE-SEM), JSM-
6330F (JEOL Ltd., Tokyo, Japan), and an atomic force
microscopy (AFM), XE-100 (Park System, Suwon, Korea).
Prior to taking SEM images, thin gold coating was applied
to the indented surface to avoid charging.
III. Results and Discussion
Figure 1 shows representative load-displacement (P–h) curves
from nanoindentations made with various indenters. As one
may expect, maximum h (h
max
) increases with decreasing w
(or increasing sharpness). While the indenter having w = 85°
exhibits purely elastic contact, as evidenced by the fact that
the loading and unloading curves are identical, all other ind-
enters (w = 35.3°, 50°, 65.3°, and 75°) left the residual h (h
r
)
after unloading. Difference in the ratio of h
r
/h
max
for each
indenter (e.g., ~0.747 for 35.3° and ~0.253 for 75°) indicates
that indeed different level of plastic deformation occurs in
the window glass.
T. Rouxel—contributing editor
Manuscript No. 35159. Received June 16, 2014; revised September 1, 2014;
approved September 2, 2014.
†
Author to whom correspondence should be addressed. e-mail: jijang@hanyang.ac.kr
186
J. Am. Ceram. Soc., 98 [1] 186–189 (2015)
DOI: 10.1111/jace.13266
© 2014 The American Ceramic Society
J
ournal