Biomedical Engineering Reference
In-Depth Information
0.004
Dashed Line-ε
Solid Line-η
0.003
0.002
0.001
0.000
-0.001
-0.2 A
-0.1 A
0 A
0.1 A
0.2 A
-0.002
-0.003
-0.004
-50 0 0
100
150
200
250
300
350
400
t
(day)
FIGURE 5.17
Variations of ε and η for several different multifield loadings.
5.6 Bone Remodeling Induced by a Medullary Pin
Consider again the problem of a hollow circular cylinder inserted by a med-
ullary pin, as discussed in Section 3.5 (see Figure 5.18). The boundary condi-
tions are slightly different from those employed in Section 3.5 and are given
as follows [64]:
σ=−
pt
(),
σ =σ = =ϕ ψ=ψ
0,
,
at
ra
=
,
rr
r
θ
rz
a
a
(5. 31)
σ=σ=σ= ϕ=ϕψ=ψ
0,
,
at
rb
=
rr
r
θ
rz
b
b
∫
σ −
dS
P
2
(5.32)
zz
S
5.6.1 The Solution of Displacements and Contact Force
p
(
t
)
Following the procedure used in Section 3.5, we obtain the solution of
displacement
u
2
as
2
2
a
F
cptb
ba
()
cP
ba
ab pt
()
33
13
2
(5.33)
u
=
+
π−
+
(
)
2
3
*
2
2
2
2
(
)
−
(
)
2
2
c
−
c
ba
−
11
12
