Biomedical Engineering Reference
In-Depth Information
GP-1/ISA
(a)
Interconnecting
network
Single fiber
networks
GP-1/PG
(b)
Mutually exclusive
spherulites
Domain
network
G
′
(c)
(d)
10
6
6
6.8
6.6
6.4
6.2
6.0
5.8
×
Linear fit of data
10
6
5
×
G
′
fiber
4
×
10
6
10
6
3
×
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
log (
ξ
)
10
6
2
×
1
×
10
6
G
′
domain
(
L
/
ζ
)
3
0
1
6
8
10
12
14
16
18
20
22
24
26
ξ
(a.u.)
Figure 2.2
(a) illustration of ''single'' fiber
network (left) and such a network observed
in the gel of GP-1/ISA (right). (b) Illustra-
tion of multi-domain network (left) and such
a network observed in the gel of GP-1/PG
(right); a multi-domain network consists of a
collection of single fiber networks. (c) The
ABAQUS simulation data showing the ef-
fect of the correlation length
ξ
on
G
.The
inset is the log-log plot of
G
vs
ξ
.(d)
Illustration of transition of the
G
of a ma-
terial from
G
fiber
to
G
domain
as the total
number ((
L
/
ζ
)
3
) of fiber domains within
the given system increases (
L
: the length
of the system). (c) is reprinted with per-
mission from Ref. [9], Copyright
©
2009,
American Chemical Society, (a), (b) and (d)
are reprinted with permission from Ref. [7].
(i.e. Figures 2.2b and 2.3c). In many cases, as the branching within a spherulite is
very compact, the fibrous arms from the spherulites are not able to penetrate into
the adjacent spherulites. In this sense, spherulites are mutually exclusive. Then,
a material with such a fiber network is considered as a disjointed collection of
individual networks, which we denote as multi-domain fiber networks (cf. the left in
Figure 2.2b). That is, a multi-domain network is composed of a number of weakly
or non-interacting single fiber networks. Multi-domain networks (Figure 2.2b)
Search WWH ::
Custom Search