HW 2
1. (a)
B
Exponential Fit
12
10
y=b/a*(exp(ax)-1)
a=30.24423
b=3.28503
T (stress)
8
6
4
2
0
-0.02
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
0.16
e (strain)
400
350
dT/de
300
250
exp
l i ne
r aw dat a
200
150
100
50
0
0
2
4
6
T
8
10
12
(b) For incompress
Solution to HK 5
1. The blood vessel construct is a solid. The simplest model for a viscoelastic solid that
allows an instantaneous step strain increase is the Kelvin model, i.e., the standard solid. The
stress-strain relationship of this model is
1 d 1
Solution to HW 4
1.
The stress-strain relationship for a Voight solid is
d
T = ( E + )
dt
a) (i) For a given harmonic strain excitation (t ) = 0 cos t , assume the following
stress response
T (t ) = T0 cos(t + ) = (T0 cos ) cos t (T0 sin ) sin t . Upon
su
ME/BMED 4758 HW 3 Solution
The physical model of the Voight model is shown on the left. The
continuity requires both the spring and the dashpot experience
the same strain . The force balance requires that the total stress
be shared by the spring and the d
HW1
(a) From the data, we can use 2 -order central difference scheme to calculate dT / d :
nd
n points:
dT Ti +1 Ti 1
d i +1 i 1
for 2 i n 1
dT 4T2 T3 3T1
for i = 1
d
3 1
dT Tn 2 4Tn 1 + 3Tn
for i = n .
n n2
d
(note: Due to different step length, we can
Solution to HW 6
Fung 8.1
Assume the area of the intersection of the bottle is A. Then the
force balance is
P1 A = P0 A + Vg = P0 A + Ahg
then P1 P0 = gh .
Fung 8.2
Hydrostatic pressure difference measured in the veins between a mans heart and his foot:
p