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Computational Modelling of Biomechanics and Biotribology in the Musculoskeletal System
book

Computational Modelling of Biomechanics and Biotribology in the Musculoskeletal System

by Z Jin
May 2014
Intermediate to advanced content levelIntermediate to advanced
550 pages
19h 34m
English
Woodhead Publishing
Content preview from Computational Modelling of Biomechanics and Biotribology in the Musculoskeletal System
Computational modelling of articular cartilage 225
where E
fr
is the tensile modulus of the  brillar matrix in the radial direction,
which increases with the radial strain. Consequently, the pressure is a non-
linear function of the compressive strain. Noting that the  brillar stress is
zero in the direction of compression, that is,
σ
fz
s
=
0
, the instantaneous axial
stress is determined by substituting Equations [7.28] into [7.27]:
σ
σ
σ
σ
zz
f
r
z
E
z
,i
ns
t
d
+
z
=
3
1
2
0
ε
ε
[7.29]
Therefore, the effective compressive modulus at the instantaneous
response is:
EE
E
E
z
z
fr
fr
inst
inst
d
d
+=
E
fr
()
v
+
+
σ
σ
σ
ε
μ
3
1
2
3
2
(
1
2
[7.30]
Here E and ν must be consider ...
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Publisher Resources

ISBN: 9780857096616