Ryan_Beucke wrote:Correct me if I'm wrong, but I think that the vibrations from playing a brass instrument or even just polishing the horn will only "flex" the brass, whereas a dent would push the metal past the point of distortion. Just like how springs *technically* will not lose their springiness over years of use unless they are pushed or pulled past their point of distortion. In other words, the metal will always return to it's original position as long as it's not pushed too hard. Forgive me if I'm just repeating something that's been said already but in different words.
Your "point of distortion" is my "yield". Same thing.
If you take a hunk of material and stretch it in an Instron machine, it will plot the stress on the material (which is the force applied divided by the cross-sectional area of the sample) against the strain (which is how much the material moves in response to that force, measured in inches of stretch per inch of original length).
With most metals, the resulting plot shows a pretty straight line, meaning that for each incremental increase of stress you get the same incremental increase in stretch. Also, if you release the machine, the plot will travel back down that same straight line, meaning that the material is elastic. Another way to describe elasticity is that the material returns to its original shape, giving up all the energy stored in it when it was stretched. Springs are highly elastic, for example.
But at some point, the material's
yield strength will be overcome and it will deform permanently. The plot at this point starts to go curvy and wander around. This is called plastic deformation, with plastic being the opposite of elastic. If you keep on, the material will rupture, and this is called
ultimate strength. The more impurities in the metal, the more unpredictable the yield strength, and the smoother the curve of the plot between the elastic and plastic regions.
(Stiffness is the slope of the stress/strain curve in the elastic region below yield strength. It is the same for a given metal no matter what the yield strength.)
When you repair brass, you try to apply force between the yield strength and the ultimate strength. Too little, and the brass doesn't move the way you want it to. Too much, and it breaks.
Fatigue is different. Fatigue happens when a microscopic anomaly in the material ruptures, forming the start of a crack. The tip of the crack concentrates stress to an high degree, such that right at the tip, the material exceeds ultimate strength and ruptures. The crack therefore travels across the material (sometimes slowly, sometimes quickly, but always only a little bit at each stress cycle) until what is left is insufficient to carry the load, at which point it yields or ruptures. If two parts mostly fit back together after breaking, it's a fatigue failure. Ruptures don't fit back together because most of the material around the break yielded first and deformed before rupturing.
The more metals are worked, the harder and more brittle they become, because the working aligns the grains of the metal like the grain of wood. This is why forged steel tools are very much stronger than cast steel tools. But brittle metals transfer higher stresses without yielding, and therefore propagate fatique cracks more easily. Thus, fatigue damage is more likely in hard, brittle metals. Heating to red hot melts these grains and allows them to relax, and this is called annealing. Thus, if a bell has been repaired too many times to allow further repair, it will have to be annealed first. But annealing reduces the yield strength of the material, making it more prone to dents and damage in the future.
Different metals behave differently in fatigue performance. Steel is excellent--the stress cycles have to get very close to the yield strength to cause fatique. Aluminum is poor--even at a small fraction of the yield strength, aluminum will crack and fatigue given enough cycles. Brass is in between, but it is pretty good and generally will only fatigue if the material has been overhardened by too much working. Old instruments that have been repaired too many times without annealing are therefore more subject to fatigue cracks in places where the internal stresses from those past repairs are really high.
The repair tech in this case did the right thing in repairing it as much as possible without trying to make it perfect. Annealing at the site of a potential crack might prevent fatigue at that point, but uneven annealing also creates internal stresses and might cause a problem elsewhere. I've repair dents in wrinkles in my project horns only to have them reappear when I tried to anneal them so that I could make further repairs. The masters know how to work with this while idiots like me don't, and that's why I don't try repairs like these on my good horns.
Rick "who thinks engineers are just beginning to understand fatigue" Denney