In: Civil Engineering
Explain why the stiffness of a discontinuous fiber composite is less than that of a continuous fiber composite with the same constituents and same proportion of reinforcement.
A fiber has a length that is much greater than its diameter. The
length-to-diameter (l/d) ratio is known as the aspect ratio and can
vary greatly. Continuous fibers have long aspect ratios, while
discontinuous fibers have short aspect ratios. Continuous-fiber
composites normally have a preferred orientation, while
discontinuous fibers generally have a random orientation. Examples
of continuous reinforcements include unidirectional, woven cloth,
and helical winding while examples of discontinuous reinforcements
are chopped fibers and random mat . Continuous-fiber composites
are
often made into laminates by stacking single sheets of continuous
fibers in different orientations to obtain the desired strength and
stiffness properties with fiber volumes as high as 60 to 70
percent. Fibers produce high-strength composites because of their
small diameter; they contain far fewer defects. (normally surface
defects) compared to the material produced in bulk. As a general
rule, the smaller the diameter of the fiber
the higher its strength, but often the cost increases as the
diameter becomes smaller. In addition, smaller-diameter
high-strength. fibers have greater flexibility and are more
amenable to fabrication processes such as weaving or forming over
radii. Typical fibers include glass, aramid, and carbon,
which may be continuous or discontinuous. The type and quantity of
the reinforcement determine the final properties. highest strength
and modulus are obtained with. continuous-fiber composites. There
is
a practical limit of about 70 volume percent reinforcement that can
be added to form a composite. At higher percentages, there is too
little matrix to support the fibers effectivelyThetheoretical
strength of discontinuous-fiber composites can approach that of
continuous-fiber composites if their aspect ratios are great enough
and they are aligned, but it is difficult in practice to maintain
good alignment with discontinuous fibers.
Discontinuous-fiber composites are normally somewhat random in
alignment, which dramatically reduces their strength and modulus.
However, discontinuous-fiber composites are generally much less
costly than continuous-fiber composites. Therefore,
continuous-fiber composites are used where higher strength and
stiffness are required (but at a higher cost), and
discontinuous-fiber composites are used when
cost is the main driver and strength and stiffness are less
important.