Biomedical Engineering Reference
In-Depth Information
1
cc
c
λ −λ−
λ
c
c
(
)
e
12
33
13
3
e
e
N
=
T
cT
CC
+
2
10
1
13
0
rr
θθ
*
F
2
2
3
11
11
(4.5)
C
F
e
c
c
λ−
λ
cc
c
−
CT
c
e
λ
zz
(
)
13
3
12
13
θθ
10
+
c
+
c
T
−
λ
T
11
12
1
0
10
*
2
2
3
11
11
11
1
cC
Pt
( )
(
)
(
)
e
e
e
e
N
=
cC Cc
+ −+
(4.6)
3
13
rr
θθ
11
12
zz
*
F
π
3
e
c
ϕ−ϕ
(
)
15
N
e
CC
e
=−
+
(4.7)
4
zr
r
b
a
44
1
c
c
λ
c
c
13
1
12
p
p
p
N
=
c
λ −λ
Tc
−
−
1
Tpt
+
( )(
CC
+
)
1
13
1
3
0
33
0
rr
θθ
3
*
F
2
11
11
(4.8)
−+ λ−λ
1
λ
c
c
c
c
p
1
12
p
13
+
2
cC
−
1
Tpt
+
( )(
c
cC
)
T
13
zz
0
11
12
zz
1
3
0
*
F
2
3
11
11
1
cc
c
λ −λ−
λ
c
c
(
)
p
12
33
13
3
p
p
N
=
T
cT
CC
+
10
1
13
0
rr
2
θθ
*
F
2
2
3
11
11
(4.9)
p
p
−
C
F
c
c
λ−
λ
cc
c
CT
c
λ
(
)
zz
13
3
12
13
θθ
10
+
c
+
c
T
−
λ
T
11
12
1
0
10
*
2
2
3
11
11
11
1
cC
Pt
( )
(
)
(
p
p
)
π
p
p
N
=
cC Cc
+ −+
(4.10)
3
13
rr
θθ
11
12
zz
*
F
3
e
c
ϕ−ϕ
(
)
p
15
p
N
=−
CC
+
(4.11)
zr
r
b
a
4
44
λ
c
c
p
p
1
12
(
CC
−
)
−
1
Tpt
+
( )
rr
0
θθ
2
11
p
′
N
=−
(4.12)
1
cc
−
11
12
(
)
p
p
CC T
c
+λ
rr
10
θθ
N
′ =
(4.13)
3
2
11
and the subscripts (or superscripts)
p
and
e
refer to periosteal and endos-
teal, respectively. For the reason stated in Section 2.3.2, Equation (2.21) can be
used here—that is,
da
dt
db
dt
(4.14)
U
=−
,
U
=
e
p
