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Urethane elastomers have higher load bearing capacity than
do conventional elastomers of comparable hardness. This permits
design of smaller parts, with possible savings in weight and
materials cost. Compression-deflection curves for 1 –
Thane and natural rubber vulcanization of equivalent hardness
(80 durometer A) are compared in Figure 1. This figure illustrates
that urethanes can be loaded beyond conventional limits for
rubber. Die-Thane DT-25 has sustained short-term loadings
of greater than 20,000 psi and Die-Thane DT-15 has been loaded
to 68,000 psi without fracturing.
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FIGURE 1 COMPRESION
OF DIE-THANE DT-25 NATURAL RUBBER IN COMPRESSION |
EFFECT OF LOAD SURFACE CONDITIONS
When an elastomeric piece is compressed between
parallel plates, the surfaces in contact with the plates tend
to spread laterally, increasing the effective load bearing
area. If this lateral movement of the surface is restricted,
the compression deflection behavior of the piece is changed.
Restriction of lateral movement greatly stiffens the part.
Figure 2 illustrates this effect quite clearly. A lubricated
surface offers essentially no resistance to lateral movement.
Lubrication at the metal-rubber surface may excessively strain
the part because extreme deformation may occur. A clean, dry
loading surface offers some resistance due to friction; if
the surface is bonded to the metal plates, no lateral movement
is possible and insures reproducible compression values. These
differences in contact surface result in three distinct compressive
stress-strain relationships for the same piece of rubber.
The loading bearing capability of Die-Thane can be altered
by a factor of 5 to 1 by changing the surface conditions.
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FIGURE 2 SURFACE
CONDITION EFFECTS ON COMPRESSION |
EFFECT
OF SHAPE
Shape factor is defined as the ratio
of the area of one loaded surface to the total area of the
unloaded surfaces which are free to bulge. Parts made from
the same compound and having the same shape factor behave
identically in compression, regardless of actual size or shape.
Effective use of compression-deflection
data is dependent on knowledge of test conditions under which
the data were taken. The values presented are for normal room
temperature and static or slow speed operation. Other temperatures
and dynamic loadings would change these values completely.
Shape factors below 0.25 may permit buckling; therefore, higher
shape factors should be used.
As shape factor increases, the unit
load required to produce a given strain also increases. There
is, however, no mathematical relationship between shape factor
and compressive modulus; the relationship must be determined
empirically. Figure 3 and 4 show compression-deflection curves
for Die-Thane of hardnesses and shape factors. These curves
were obtained with bonded surface. The compression-deflection
characteristics of a fabricated item of a particular hardness
may vary up to ? 10% from the curves shown. Deviations arise
primarily from inaccuracies in measuring hardness of an elastomer
compound.
Deformations are usually limited
from 15% to 25%, which is the predictable straight line portion
of the shape factor curves. Deformations above 25% impose
higher stresses which induce much higher set and increase
creep in the part.
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FIGURE 3 COMPRESSION-DEFLECTION
CHARACTERISTICS OF SOFT URETHANES |
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FIGURE 4 COMPRESSION-DEFLECTION
CHARACTERISTICS OF HARD URETHANES
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USE OF COMPRESSION STRESS-STRAIN
CURVES IN DESIGN
The following examples show how
the compression stress-strain curves can be used in the design
of urethane parts. Shape factor for blocks and cylinders is
calculated as follows:
For rectangular shaped prisms
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where l
= length
W = width
T = thickness
D = diameter
H = height |
For discs and cylinders
This relationship is limited to the following:
| 1. |
pieces which have parallel
loading faces; |
| 2. |
pieces whole thickness is not more
than twice the smallest lateral dimensions; and |
| 3. |
pieces whose loading surfaces are
restrained from lateral movement. |
| (b) |
In Figure 3 we find that the compressive
stress-strain curve of a 70 A durometer urethane part
with a shape factor of 2 crosses the 1000 psi stress abscissa
at 11% strain. Therefore, the pad will deflect 11% of
one inch or 0.11 inch. |
EXAMPLE
2
Problem: What happens if the pad thickness
is doubled in Example 1?
Solution:
(a) Shape factor of the piece is now:
(b) From Figure 3, the compressive
strain at 1000 psi stress for a 70 durometer A part with a
shape of 1 is 25%. In this case, the pad will deflect 25%
of two inches, or 0.50 inch. (In practice, parts made of conventional
elastomers are generally designed so that compressive strain
does not exceed 15%).
EXAMPLE 3
Problem: Assume
a pad which is one inch square by one-half inch thick and
bears a 2500 lb. Compressive load. The pad may not deflect
more than 0.05 deflect more than 0.05 inches because of space
limitations. What hardness Die-Thane should be specified?
Solution:
(3) Shape factor of the piece is:
(b) Unit compressive stress is:
(c) Compressive strain is:
(d) On scanning the compressive stress-strain curves we find
in Figure 4 that vulcanizates which are 60 D hard or harder
will bear a compressive stress of 2500 psi with 10% or less
deflection.
As a general rule, the harder the elastomer, the greater its
load-bearing capacity. The manner in which load-bearing properties
Die-Thane change with hardness at various deformations is
shown in Figures 5 through 7.
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