Biomedical Engineering Reference
In-Depth Information
ε
r
=
ε
∗
t
∗
˙
ε
r
ε
∗
t
∗
t
∗
t
t
(a)
(b)
Figure 5.11
Strain(a) and strain rate (b) as a function of time.
1
0
0
5
10
15
τ
t
/
Figure 5.12
Force response of the Maxwell model.
such that the force in that case is given by
t
τ
F
=
c
η
r
=
ctr
.
(5.60)
So, for relatively small times
t
, and constant strain rate, the response is dominantly
elastic. This is consistent with the spring-dashpot configuration. For small
t
only
the spring is extended while the dashpot is hardly active. Furthermore, at
t
=
0:
F
=
cr
,
(5.61)
which implies that the line tangent to the force versus time curve should have a
slope of
cr
. For larger values of
t
, but still smaller than
t
∗
we have
t
τ
e
−
→
0,
(5.62)