Biomedical Engineering Reference
In-Depth Information
the
x
-axis. For this test the following (time-independent) deformation rate
matrix
D
is applicable (expressed in [s
−
1
]):
⎡
⎣
⎤
⎦
0.02
0
0
D
=
0
−
0.01
0
.
0
0
−
0.01
At time
t
=
0 [s] the tendon has a length
0
equal to 3 [cm]. From this time
on the above given matrix
D
can be applied. Calculate the length
of the
tendon as a function of the time
t
.
10.6 At some material point the local deformation process is described by means
of the deformation tensor as a function of time:
F
(
t
). Based on this defor-
mation tensor, the left Cauchy Green tensor
B
=
F
·
F
T
can be derived and
subsequently the Finger tensor
1
ε
F
=
2
(
B
−
I
).
1
=
F
L
T
), with:
L
F
−
1
Prove that
ε
F
=
2
(
L
·
B
+
B
·
·
the velocity
gradient tensor.
