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ostensibly known
E
and
H
to determine this area as a function of
A
c
A
(
h
c
).
Equations for
M
and
H
rely on the assumption of a semi-infi nite half-space
and therefore caution should be exercised when testing highly heterogene-
ous materials. In particular, the number of tests should be signifi cantly
increased and the choice of indentation depth should be carefully made
(Constantinides
et al.
, 2006; Ulm
et al.
, 2007). The two indentation properties
measured during a test (
M
and
H
) can then be linked to the elastic
M
=
=
M
(
E
,
v
) and plastic
H
) properties of the indented materials,
through advanced continuum scale models (Ganneau
et al.
, 2006). The
extracted mechanical properties of the two types of C-S-H measured on
hundreds of specimens where found to be intrinsic to all cement-based
materials
E
=
H
(
c
,
ϕ
400-1000 MPa, where the range relates
to the local density variations (nanoscale porosity) observed in cement-
based materials.
Instrumented indentation provides mechanical access to the C-S-H
phases and has been exploited apart from fundamental studies (Constan-
tinides
et al.
, 2003; Constantinides and Ulm, 2004, 2007; Mondal
et al.
, 2007,
2008; Vandamme and Ulm, 2009; Vandamme
et al.
2010; Chen
et al.
, 2010;
Ulm
et al.
, 2010; Xu and Yao, 2011; Song
et al.
, 2011) but also for the evalu-
ation of chemical degradation phenomena (Constantinides and Ulm, 2004;
DeJong and Ulm, 2007), and the nanomechanical quality of various cement-
based systems like alkali activated aluminosilicates (Nemecek
et al.
, 2010),
ultra high performance concrete (Sorelli
et al.
, 2008), fi ber reinforced
systems (Wang
et al.
, 2009; Sakulich and Li, 2011), nanosilica concrete (Zyg-
anitidis
et al.
, 2011), and carbon nanotube reinforced concrete (Sáez de
Ibarra
et al.
, 2006; Konsta-Gdoutos
et al.
, 2010a). The technique can poten-
tially serve as a nanomechanical screening tool in the search for a more
durable and environmentally friendly material.
=
20-30 GPa and
H
=
Small angle neutron and x-ray scattering (SANS/SAXS)
Small angle neutron and X-ray scattering (SANS/SAXS) are powerful tech-
niques for characterizing the micro- and nanostructures of disordered het-
erogeneous materials on the 1-100 nm length scale (Winslow and Diamond,
1974; Winslow
et al.
, 1994, 1995; Allen
et al.
, 1982, 1987; Volkl
et al.
, 1987;
Allen, 1991; Eichhorn
et al.
, 1993; Beddoe and Lang, 1994; Allen and Thomas,
2007). Macro structures like polymers, precipitates in metallurgical speci-
mens, biological molecules, micelles and magnetic systems like ferrofl uids
can be identifi ed. The drawback, however, is that SANS requires a neutron
source which is expensive and available only in a handful of laboratories
around the world associated with research nuclear reactors. Around 37
neutron sources exist, the majority of which (
60%) are in Europe. Neutron
scattering has an advantage over X-ray scattering (SAXS) due to selective
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