Biomedical Engineering Reference
In-Depth Information
discussed (see Chapter 2), this is the total area under the stress-
strain curve to ε
u
and is expressed as an energy per unit volume,
typically with units of J/m
3
.
Material types
It is a usual practice in engineering discussion to generalize the com-
parative values of these parameters and to use overall descriptive terms
for materials. Thus, using the general shape of the stress-strain curves
in Figure 3.2, material
A
would be called “strong, brittle,” material
B
,
“strong, tough,” and material
C
, “weak, ductile.” We associate type
A
curves with ceramics, type
B
curves with metals, and type
C
curves with
polymers (and soft tissues). Composite structures (see Chapter 8) have
no single characteristic stress-strain behavior; their utility lies in being
able to combine the mechanical properties of different materials, such
as a ceramic fiber and a polymer matrix, to produce new, intermediate
behavior.
PROBLEM 3.1
In Figure 3.2, which material (
A
,
B
, or
C
) is the
Stiffest?
Strongest?
Most ductile?
Most brittle?
Toug h e st?
ANSWER:
A, A, C, A, B.
A
B
σ
C
ε
FIGUre 3.2
typical stress-strain curves.
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