Biomedical Engineering Reference
In-Depth Information
Fig. 6.6 Elasticity modulus in the transversal direction. Lotz law for cortical and trabecular bone
compared with the mathematical model proposed in this topic
bone elasticity modulus in the axial direction was analysed, the other curves,
related with the elasticity modulus in the transversal direction and the ultimate
compression stress in the axial and transversal direction, were obtained based in
the values suggested in [
25
]. Similarly to the curve of the elasticity modulus in the
axial direction, the other curves suggested in this topic unify in just one curve the
cortical and the trabecular bone curves from Lotz's law,
E
trans
¼
X
3
c
j
ð
q
app
Þ
j
ð
6
:
8
Þ
j¼0
r
axial
¼
X
3
d
j
ð
q
app
Þ
j
ð
6
:
9
Þ
j¼0
r
trans
¼
X
3
e
j
ð
q
app
Þ
j
ð
6
:
10
Þ
j¼0
where the coefficients c
j
, d
j
and e
j
are presented in Table
6.2
. The elasticity
modulus and the ultimate compression stress approximated by the curves pre-
sented in Eqs. (
6.7
), (
6.8
), (
6.9
) and (
6.10
) are expressed in MPa and the apparent
density q
app
in g/cm
3
.
