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Physics and Chemsitry of Solids (PCS) Fracture Research Group
Cavendish Laboratory
www-pcs.phy.cam.ac.uk
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The Fracture Group is part of a larger group called the Physics and Chemistry of
Solids, based at the Cavendish Laboratory. These names indicate our areas of
interest:
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physical phenomena (e.g. material strength, aging);
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chemical phenomena (e.g. combustion, explosions and pyrotechnics);
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how things break.
Fracture (how things break) is very important in the design of virtually every
object produced by industry. Fracture might be desirable (e.g. opening a can of
lemonade), or unwanted (e.g. dropping a cup on the floor). Some objects are moved,
struck or even dropped on a daily basis. Some materials regarded as weak perform
well under certain conditions. For example, paper can be deceptively strong if
loaded correctly.
Over time objects may become damaged as a result of repetitive action such as
erosion (e.g. the effect of wind-blown sand on buildings). In many cases it is
easy to look at the state of the building or specimen at regular intervals. If a
jet aircraft travels through a rain storm the result is thousands of high-speed
water-drop impacts on the fuselage. The added friction caused by the damage to the
fuselage can reduce fuel efficiency by up to 15%. In the food industry, cleaning
can be performed by high-speed liquid jets. On the other hand, sometimes the
violence of the impact is so great that the object is broken almost immediately
(e.g. a car crash). Examination of the fragments may give some idea of how the
object was damaged, but it can be very difficult to find out what damage occurred
first and if one initial fracture allowed other fractures to develop.
Can you do tests slowly which show you how things behave when they are hit rapidly?
If you pull a piece of plastic slowly it will stretch, become thin and eventually
break. If you do the same test more rapidly you find the plastic stretches less,
breaks earlier and the surface of the tear is more jagged. This shows that slow
tests may not give you the same results as fast tests.
Does the total amount of energy put into a system allow you to predict what will
happen? An experiment involving passing an electrical current through a wire will
show energy is not an absolute guide. It is the rate at which the energy is
delivered that controls many situations.
Chemistry is very important in high-speed events. Gun-powder burns at different
rates depending on the pressure around it. The chemical energy released can be
used to do work (e.g. push a cannon-ball) but sometimes the output is so great
it can break the container and send out high-velocity fragments. Technically,
burning is referred to as deflagration. Both gun-powder and fireworks deflagrate,
the flames and reaction spread at a velocity of up to 800 ms-1>. Gun-powder will
be compared to a modern propellant. Detonation is a high-speed reaction, which
moves through the explosive at a velocity above the speed of sound. In this case a
velocity of 7000 ms-1 would not be unusual. We will show the difference between
deflagration and detonation in a bench-top demonstration.
One problem with studying high-speed events is that the human eye cannot resolve
what is happening. A whole series of cameras have been developed to photograph
these events on a timescale of less than a millionth of a second. High-speed
cameras, capable of taking over a million frames a second will be used. Some of
the history behind camera development, from the wager on whether all horses hooves
leave the ground when galloping, to bullets passing through lightly balanced apples,
will be used to give an historic perspective.
After this talk it should be clearer what properties are important in breaking
things and also how fast things can fracture.
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Figure 1: This photograph shows a drop landing on the top of a pool of liquid.
In the first frame the drop nears the surface. In the second frame the impact
has occurred and liquid has been pushed aside producing a Rayleigh crown.
In the succeeding frames the liquid rebounds and throws up a drop from the
long central column. In the colour image of this sequence you can clearly see
that this drop is the same material as the impacting drop - there has been no
mixing. Spark photography, exposure time = 5 us.
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Figure 2: This shows the growth of a fracture. A plate of glass has had a small crack
put in it. The break is pulled from the top and bottom to open it up. Towards the bottom
of the first column the crack starts to grow. However, because the energy is put into the
system too quickly, a single crack cannot release the energy fast enough, so the single
crack transforms into a double crack. Technically, this is called bifurcation. This
image converter sequence shows that the crack grows at 1500 ms-1.
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