Biomedical Engineering Reference
In-Depth Information
APPENDIX E
Basic Materials Properties for
Materials Selection
E.1 Density
Density is a measure of the amount of matter (mass
M
) compressed into an enclosed volume
(
V
). Hence, more matter compressed into a space means
high
density, less matter means
low
density. It is commonly assumed that the density of a material is homogeneous (the same
throughout the whole volume). Its symbol is, commonly, the Greek character rho,
ρ
; its units
are normally in kg/m
3
, though equivalent variants do exist.
For a specific body
mass
volume
M
V
density
=
(E.1)
kg
m
ρ
=
3
Table E.1: Common Material Densities
Density (kg/m
3
)
Lb/in
3
Material
Steels
7500-8080
0.271-0.292
Aluminum alloy
c3500
c0.126
Titanium
4500
0.163
Nylon
900-1120
0.0325-0.0405
PEEK
250-300
0.00903-0.0108
E.2 Stress and Strain
Designers are concerned about how materials fail. Consider a rod under tension by a force
F
(
Figure E.1
).
It is assumed that the force is evenly distributed across the whole area. This distribution is a ratio
of the force (
F
) and the rod's cross-sectional area (
A
). This ratio is called
stress
and is given by the
Greek character sigma,
σ
. Its units are commonly given as N/m
2
or Pa (both are the same).
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